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40006014421248 = 283416311836211
BaseRepresentation
bin10010001100010101000000…
…10001110100100100000000
312020122112111221010021020000
421012022200101310210000
520220424304142434443
6221030302002120000
711266224221554401
oct1106124021644400
9166575457107200
1040006014421248
1111824501205847
1245a1525350000
1319427216425c5
149c443119d9a8
154959acc528d3
hex2462a0474900

40006014421248 has 180 divisors, whose sum is σ = 120022551164208. Its totient is φ = 13253525130240.

The previous prime is 40006014421231. The next prime is 40006014421249. The reversal of 40006014421248 is 84212441060004.

40006014421248 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 601 + 4 + 4 + 2 + 1 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40006014421249) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2538138 + ... + 9298073.

Almost surely, 240006014421248 is an apocalyptic number.

40006014421248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40006014421248 is an abundant number, since it is smaller than the sum of its proper divisors (80016536742960).

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

40006014421248 is a wasteful number, since it uses less digits than its factorization.

40006014421248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11836402 (or 11836379 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 40006014421248 in words is "forty trillion, six billion, fourteen million, four hundred twenty-one thousand, two hundred forty-eight".