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10442402640024 = 2332329652324003
BaseRepresentation
bin1001011111110100111110…
…1100110011000010011000
31100222021122222211220211020
42113331033230303002120
52332042020033440044
634113101253002440
72125303320626445
oct227751754630230
940867588756736
1010442402640024
11336666406a473
121207983623420
135a993954a5b4
142815b4a089cc
1513196e21ba19
hex97f4fb33098

10442402640024 has 64 divisors (see below), whose sum is σ = 28180396972800. Its totient is φ = 3214652681856.

The previous prime is 10442402639987. The next prime is 10442402640041. The reversal of 10442402640024 is 42004620424401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326145994 + ... + 326178009.

It is an arithmetic number, because the mean of its divisors is an integer number (440318702700).

Almost surely, 210442402640024 is an apocalyptic number.

It is an amenable number.

10442402640024 is an abundant number, since it is smaller than the sum of its proper divisors (17737994332776).

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

10442402640024 is a wasteful number, since it uses less digits than its factorization.

10442402640024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652324064 (or 652324060 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 10442402640024 in words is "ten trillion, four hundred forty-two billion, four hundred two million, six hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 552 667 696 1334 2001 2668 4002 5336 8004 16008 652324003 1304648006 1956972009 2609296012 3913944018 5218592024 7827888036 15003452069 15655776072 18917396087 30006904138 37834792174 45010356207 56752188261 60013808276 75669584348 90020712414 113504376522 120027616552 151339168696 180041424828 227008753044 360082849656 435100110001 454017506088 870200220002 1305300330003 1740400440004 2610600660006 3480800880008 5221201320012 10442402640024