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140028916944000 = 2735377910351217
BaseRepresentation
bin11111110101101100000101…
…110110100100110010000000
3200100210122002222120111110010
4133311230011312210302000
5121323213210214202000
61213452221341304520
741331520046202210
oct3765540566446200
9610718088514403
10140028916944000
1140687a26083277
1213856660b65140
1360198935a8256
142681615968240
15112c717ec9d50
hex7f5b05da4c80

140028916944000 has 1024 divisors, whose sum is σ = 542451231129600. Its totient is φ = 31294041292800.

The previous prime is 140028916943989. The next prime is 140028916944023. The reversal of 140028916944000 is 449619820041.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2734006392 + ... + 2734057608.

It is an arithmetic number, because the mean of its divisors is an integer number (529737530400).

Almost surely, 2140028916944000 is an apocalyptic number.

140028916944000 is a gapful number since it is divisible by the number (10) 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 140028916944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271225615564800).

140028916944000 is an abundant number, since it is smaller than the sum of its proper divisors (402422314185600).

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

140028916944000 is a wasteful number, since it uses less digits than its factorization.

140028916944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51438 (or 51416 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 140028916944000 in words is "one hundred forty trillion, twenty-eight billion, nine hundred sixteen million, nine hundred forty-four thousand".