Search a number
-
+
154133400354000 = 24353223911473381
BaseRepresentation
bin100011000010111011111010…
…100100110111110011010000
3202012202000020200110121202120
4203002323322210313303100
5130200310200442312000
61303451523454414240
744315525230104414
oct4302737244676320
9665660220417676
10154133400354000
1145125676283281
1215354103b01380
136800942b57152
142a0c14c684d44
1512c456ba256a0
hex8c2efa937cd0

154133400354000 has 160 divisors (see below), whose sum is σ = 497148067153920. Its totient is φ = 41083879104000.

The previous prime is 154133400353893. The next prime is 154133400354019. The reversal of 154133400354000 is 453004331451.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7697310 + ... + 19170690.

It is an arithmetic number, because the mean of its divisors is an integer number (3107175419712).

Almost surely, 2154133400354000 is an apocalyptic number.

154133400354000 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 154133400354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248574033576960).

154133400354000 is an abundant number, since it is smaller than the sum of its proper divisors (343014666799920).

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

154133400354000 is a wasteful number, since it uses less digits than its factorization.

154133400354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11475646 (or 11475630 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 154133400354000 its reverse (453004331451), we get a palindrome (154586404685451).

The spelling of 154133400354000 in words is "one hundred fifty-four trillion, one hundred thirty-three billion, four hundred million, three hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2239 3000 4478 6000 6717 8956 11195 13434 17912 22390 26868 33585 35824 44780 53736 55975 67170 89560 107472 111950 134340 167925 179120 223900 268680 279875 335850 447800 537360 559750 671700 839625 895600 1119500 1343400 1679250 2239000 2686800 3358500 4478000 6717000 11473381 13434000 22946762 34420143 45893524 57366905 68840286 91787048 114733810 137680572 172100715 183574096 229467620 275361144 286834525 344201430 458935240 550722288 573669050 688402860 860503575 917870480 1147338100 1376805720 1434172625 1721007150 2294676200 2753611440 2868345250 3442014300 4302517875 4589352400 5736690500 6884028600 8605035750 11473381000 13768057200 17210071500 22946762000 25688900059 34420143000 51377800118 68840286000 77066700177 102755600236 128444500295 154133400354 205511200472 256889000590 308266800708 385333500885 411022400944 513778001180 616533601416 642222501475 770667001770 1027556002360 1233067202832 1284445002950 1541334003540 1926667504425 2055112004720 2568890005900 3082668007080 3211112507375 3853335008850 5137780011800 6165336014160 6422225014750 7706670017700 9633337522125 10275560023600 12844450029500 15413340035400 19266675044250 25688900059000 30826680070800 38533350088500 51377800118000 77066700177000 154133400354000