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140039729570304 = 293316764699377
BaseRepresentation
bin11111110101110110001010…
…010101011110001000000000
3200100211200000112102211022000
4133311312022111132020000
5121323402331232222204
61213501210313344000
741332352022046104
oct3765661225361000
9610750015384260
10140039729570304
1140691574572473
121385877a108000
13601a8c7749695
142681d5d9c1904
15112cb4c3a6039
hex7f5d8a55e200

140039729570304 has 320 divisors, whose sum is σ = 417118465209600. Its totient is φ = 46388269154304.

The previous prime is 140039729570227. The next prime is 140039729570339. The reversal of 140039729570304 is 403075927930041.

140039729570304 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 39 + 7 + 2 + 9 + 570 + 30 + 4 = 666.

It is a super-2 number, since 2×1400397295703042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 14934380464 + ... + 14934389840.

It is an arithmetic number, because the mean of its divisors is an integer number (1303495203780).

Almost surely, 2140039729570304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140039729570304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208559232604800).

140039729570304 is an abundant number, since it is smaller than the sum of its proper divisors (277078735639296).

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

140039729570304 is an equidigital number, since it uses as much as digits as its factorization.

140039729570304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16040 (or 16018 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 140039729570304 in words is "one hundred forty trillion, thirty-nine billion, seven hundred twenty-nine million, five hundred seventy thousand, three hundred four".