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145202125400244 = 22321117139155172253
BaseRepresentation
bin100001000000111110000001…
…000110101110100010110100
3201001010012001202221212112100
4201000332001012232202310
5123012442423100301434
61232452534024222100
742404336012432343
oct4100760106564264
9631105052855470
10145202125400244
11422a196a416630
121435118a00a930
13630366a2360c3
1427bdb6b133b5a
1511bc091a65699
hex840f811ae8b4

145202125400244 has 144 divisors (see below), whose sum is σ = 427009215447360. Its totient is φ = 41114439889920.

The previous prime is 145202125400177. The next prime is 145202125400249. The reversal of 145202125400244 is 442004521202541.

145202125400244 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 0 + 2 + 1 + 2 + 5 + 400 + 244 = 666.

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 = 145202125400199 and 145202125400208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145202125400249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76650379 + ... + 78521874.

It is an arithmetic number, because the mean of its divisors is an integer number (2965341773940).

Almost surely, 2145202125400244 is an apocalyptic number.

It is an amenable number.

145202125400244 is an abundant number, since it is smaller than the sum of its proper divisors (281807090047116).

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

145202125400244 is a wasteful number, since it uses less digits than its factorization.

145202125400244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155172430 (or 155172425 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 145202125400244 its reverse (442004521202541), we get a palindrome (587206646602785).

The spelling of 145202125400244 in words is "one hundred forty-five trillion, two hundred two billion, one hundred twenty-five million, four hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 139 153 187 198 204 278 306 374 396 417 556 561 612 748 834 1122 1251 1529 1668 1683 2244 2363 2502 3058 3366 4587 4726 5004 6116 6732 7089 9174 9452 13761 14178 18348 21267 25993 27522 28356 42534 51986 55044 77979 85068 103972 155958 233937 311916 467874 935748 155172253 310344506 465516759 620689012 931033518 1396550277 1706894783 1862067036 2637928301 2793100554 3413789566 5120684349 5275856602 5586201108 6827579132 7913784903 10241368698 10551713204 15362053047 15827569806 20482737396 21568943167 23741354709 29017211311 30724106094 31655139612 43137886334 47482709418 58034422622 61448212188 64706829501 86275772668 87051633933 94965418836 116068845244 129413659002 174103267866 194120488503 237258374837 258827318004 261154901799 348206535732 366672033839 388240977006 474516749674 522309803598 711775124511 733344067678 776481954012 949033499348 1044619607196 1100016101517 1423550249022 1466688135356 2135325373533 2200032203034 2847100498044 3300048304551 4033392372229 4270650747066 4400064406068 6600096609102 8066784744458 8541301494132 12100177116687 13200193218204 16133569488916 24200354233374 36300531350061 48400708466748 72601062700122 145202125400244