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102404440323144 = 23326178627267203
BaseRepresentation
bin10111010010001011100100…
…010010011111010001001000
3111102120202202111222112111100
4113102023210102133101020
5101410243243210320034
61001443541143301400
730366322331522001
oct2722134422372110
9442522674875440
10102404440323144
112a6a152a97a903
12b59a7bba4a860
13451a90ac2929b
141b405894781a8
15bc8b93de7099
hex5d22e449f448

102404440323144 has 96 divisors (see below), whose sum is σ = 277828105857120. Its totient is φ = 34075411738368.

The previous prime is 102404440323103. The next prime is 102404440323169. The reversal of 102404440323144 is 441323044404201.

102404440323144 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 4 + 440 + 32 + 3 + 144 = 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 = 102404440323099 and 102404440323108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383112247 + ... + 383379449.

It is an arithmetic number, because the mean of its divisors is an integer number (2894042769345).

Almost surely, 2102404440323144 is an apocalyptic number.

It is an amenable number.

102404440323144 is an abundant number, since it is smaller than the sum of its proper divisors (175423665533976).

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

102404440323144 is a wasteful number, since it uses less digits than its factorization.

102404440323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276459 (or 276452 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 102404440323144 its reverse (441323044404201), we get a palindrome (543727484727345).

The spelling of 102404440323144 in words is "one hundred two trillion, four hundred four billion, four hundred forty million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 617 1234 1851 2468 3702 4936 5553 7404 8627 11106 14808 17254 22212 25881 34508 44424 51762 69016 77643 103524 155286 207048 267203 310572 534406 621144 801609 1068812 1603218 2137624 2404827 3206436 4809654 5322859 6412872 9619308 10645718 15968577 19238616 21291436 31937154 42582872 47905731 63874308 95811462 127748616 164864251 191622924 329728502 383245848 494592753 659457004 989185506 1318914008 1483778259 1978371012 2305160281 2967556518 3956742024 4610320562 5935113036 6915480843 9220641124 11870226072 13830961686 18441282248 20746442529 27661923372 41492885058 55323846744 82985770116 165971540232 1422283893377 2844567786754 4266851680131 5689135573508 8533703360262 11378271147016 12800555040393 17067406720524 25601110080786 34134813441048 51202220161572 102404440323144