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40642541653152 = 253835100720589
BaseRepresentation
bin10010011110110110101000…
…10000100000110010100000
312022220101111121101221222010
421033123110100200302200
520311341411130400102
6222234531553512520
711363220033013035
oct1117332420406240
9168811447357863
1040642541653152
1111a4a45023a2aa
124684968b72740
13198a762a2baaa
14a0717670138c
154a7314778d6c
hex24f6d4420ca0

40642541653152 has 48 divisors (see below), whose sum is σ = 107972053449120. Its totient is φ = 13384290822912.

The previous prime is 40642541653121. The next prime is 40642541653199. The reversal of 40642541653152 is 25135614524604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2550352327 + ... + 2550368262.

It is an arithmetic number, because the mean of its divisors is an integer number (2249417780190).

Almost surely, 240642541653152 is an apocalyptic number.

It is an amenable number.

40642541653152 is an abundant number, since it is smaller than the sum of its proper divisors (67329511795968).

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

40642541653152 is a wasteful number, since it uses less digits than its factorization.

40642541653152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100720685 (or 5100720677 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 40642541653152 in words is "forty trillion, six hundred forty-two billion, five hundred forty-one million, six hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2656 3984 7968 5100720589 10201441178 15302161767 20402882356 30604323534 40805764712 61208647068 81611529424 122417294136 163223058848 244834588272 423359808887 489669176544 846719617774 1270079426661 1693439235548 2540158853322 3386878471096 5080317706644 6773756942192 10160635413288 13547513884384 20321270826576 40642541653152