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154203023162340 = 2232531716141167429
BaseRepresentation
bin100011000011111100110000…
…011010110011101111100100
3202012222122221211001201221200
4203003330300122303233210
5130202430242412143330
61303543520233042500
744323541444156055
oct4303746032635744
9665878854051850
10154203023162340
11451521535686a9
12153656b4556430
13680738a0b7969
142a1167515272c
1512c6293e7aa60
hex8c3f306b3be4

154203023162340 has 144 divisors (see below), whose sum is σ = 469256592757680. Its totient is φ = 40988303170560.

The previous prime is 154203023162299. The next prime is 154203023162369. The reversal of 154203023162340 is 43261320302451.

154203023162340 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 0 + 3 + 0 + 23 + 1 + 623 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8161260531264 + 146041762631076 = 2856792^2 + 12084774^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 154203023162295 and 154203023162304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920921746 + ... + 921089174.

It is an arithmetic number, because the mean of its divisors is an integer number (3258726338595).

Almost surely, 2154203023162340 is an apocalyptic number.

154203023162340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154203023162340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234628296378840).

154203023162340 is an abundant number, since it is smaller than the sum of its proper divisors (315053569595340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

154203023162340 is a wasteful number, since it uses less digits than its factorization.

154203023162340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183902 (or 183897 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 154203023162340 its reverse (43261320302451), we get a palindrome (197464343464791).

The spelling of 154203023162340 in words is "one hundred fifty-four trillion, two hundred three billion, twenty-three million, one hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 9510 11412 14265 16141 19020 28530 32282 48423 57060 64564 80705 96846 145269 161410 167429 193692 242115 290538 322820 334858 484230 502287 581076 669716 726345 837145 968460 1004574 1452690 1506861 1674290 2009148 2511435 2905380 3013722 3348580 5022870 5116697 6027444 7534305 10045740 10233394 15068610 15350091 20466788 25583485 30137220 30700182 46050273 51166970 53074993 61400364 76750455 92100546 102333940 106149986 153500910 159224979 184201092 212299972 230251365 265374965 307001820 318449958 460502730 477674937 530749930 636899916 796124895 921005460 955349874 1061499860 1592249790 1910699748 2388374685 2702471489 3184499580 4776749370 5404942978 8107414467 9553498740 10809885956 13512357445 16214828934 24322243401 27024714890 32429657868 40537072335 48644486802 54049429780 81074144670 97288973604 121611217005 162148289340 243222434010 486444868020 856683462013 1713366924026 2570050386039 3426733848052 4283417310065 5140100772078 7710151158117 8566834620130 10280201544156 12850251930195 15420302316234 17133669240260 25700503860390 30840604632468 38550755790585 51401007720780 77101511581170 154203023162340