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140336459424 = 253272291392467
BaseRepresentation
bin1000001010110010110…
…1000110111010100000
3111102020021210210022100
42002230231012322200
54244402113200144
6144245241210400
713065445136400
oct2025455067240
9442207723270
10140336459424
1154575300087
1223246490a00
13103064b6c05
146b141b2800
1539b5533269
hex20acb46ea0

140336459424 has 432 divisors, whose sum is σ = 483897304800. Its totient is φ = 38419411968.

The previous prime is 140336459423. The next prime is 140336459429. The reversal of 140336459424 is 424954633041.

140336459424 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 36 + 4 + 594 + 24 = 666.

It is a super-3 number, since 3×1403364594243 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140336459424.

It is not an unprimeable number, because it can be changed into a prime (140336459423) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56884239 + ... + 56886705.

It is an arithmetic number, because the mean of its divisors is an integer number (1120132650).

Almost surely, 2140336459424 is an apocalyptic number.

140336459424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140336459424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241948652400).

140336459424 is an abundant number, since it is smaller than the sum of its proper divisors (343560845376).

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

140336459424 is a wasteful number, since it uses less digits than its factorization.

140336459424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 140336459424 in words is "one hundred forty billion, three hundred thirty-six million, four hundred fifty-nine thousand, four hundred twenty-four".