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40142135676576 = 253418147246631
BaseRepresentation
bin10010010000010010100011…
…01111001100111010100000
312021010112212110021111120010
421020021101233030322200
520230142043213122301
6221213013105044520
711312113354260243
oct1110112157147240
9167115773244503
1040142135676576
11118772030a467a
124603994026740
1319525057592bb
149cac655dd25a
154992c81a15d6
hex248251bccea0

40142135676576 has 24 divisors (see below), whose sum is σ = 105373106151264. Its totient is φ = 13380711892160.

The previous prime is 40142135676571. The next prime is 40142135676589. The reversal of 40142135676576 is 67567653124104.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×401421356765762 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40142135676571) 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 3 ways as a sum of consecutive naturals, for example, 209073623220 + ... + 209073623411.

It is an arithmetic number, because the mean of its divisors is an integer number (4390546089636).

Almost surely, 240142135676576 is an apocalyptic number.

It is an amenable number.

40142135676576 is an abundant number, since it is smaller than the sum of its proper divisors (65230970474688).

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

40142135676576 is a wasteful number, since it uses less digits than its factorization.

40142135676576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418147246644 (or 418147246636 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 40142135676576 in words is "forty trillion, one hundred forty-two billion, one hundred thirty-five million, six hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 418147246631 836294493262 1254441739893 1672588986524 2508883479786 3345177973048 5017766959572 6690355946096 10035533919144 13380711892192 20071067838288 40142135676576