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154350020451340 = 225710730689335747
BaseRepresentation
bin100011000110000101101010…
…001000111101110000001100
3202020111201101022101201200201
4203012011222020331300030
5130212332320213420330
61304135230455103244
744340264252413620
oct4306055210756014
9666451338351621
10154350020451340
11451a952671460a
121538a099671b24
1368181b554393c
142a1881bbd3180
1512c9ee912ceca
hex8c616a23dc0c

154350020451340 has 96 divisors (see below), whose sum is σ = 373915402882560. Its totient is φ = 52423563085824.

The previous prime is 154350020451337. The next prime is 154350020451343. The reversal of 154350020451340 is 43154020053451.

It is an interprime number because it is at equal distance from previous prime (154350020451337) and next prime (154350020451343).

It is a self number, because there is not a number n which added to its sum of digits gives 154350020451340.

It is not an unprimeable number, because it can be changed into a prime (154350020451343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459553347 + ... + 459889093.

It is an arithmetic number, because the mean of its divisors is an integer number (3894952113360).

Almost surely, 2154350020451340 is an apocalyptic number.

154350020451340 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 154350020451340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186957701441280).

154350020451340 is an abundant number, since it is smaller than the sum of its proper divisors (219565382431220).

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

154350020451340 is a wasteful number, since it uses less digits than its factorization.

154350020451340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366559 (or 366557 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 154350020451340 in words is "one hundred fifty-four trillion, three hundred fifty billion, twenty million, four hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 14980 30689 61378 122756 153445 214823 306890 335747 429646 613780 671494 859292 1074115 1342988 1678735 2148230 2350229 3283723 3357470 4296460 4700458 6567446 6714940 9400916 11751145 13134892 16418615 22986061 23502290 32837230 35924929 45972122 47004580 65674460 71849858 91944244 114930305 143699716 179624645 229860610 251474503 359249290 459721220 502949006 718498580 1005898012 1257372515 2514745030 5029490060 10303739683 20607479366 41214958732 51518698415 72126177781 103037396830 144252355562 206074793660 288504711124 360630888905 721261777810 1102500146081 1442523555620 2205000292162 4410000584324 5512500730405 7717501022567 11025001460810 15435002045134 22050002921620 30870004090268 38587505112835 77175010225670 154350020451340