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14158001594944 = 261727323792
BaseRepresentation
bin1100111000000110101010…
…1001111110001001000000
31212010111021110210121101101
43032001222221332021000
53323431041402014234
650040032433344144
72660611322634004
oct316015251761100
955114243717341
1014158001594944
114569413890519
121707aba108054
137b912b18446c
1436d3727c0704
151984371e0814
hexce06aa7e240

14158001594944 has 189 divisors, whose sum is σ = 30339113456907. Its totient is φ = 6553982066688.

The previous prime is 14158001594909. The next prime is 14158001594963. The reversal of 14158001594944 is 44949510085141.

The square root of 14158001594944 is 3762712.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1787868500544 + 12370133094400 = 1337112^2 + 3517120^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 37356204547 + ... + 37356204925.

Almost surely, 214158001594944 is an apocalyptic number.

14158001594944 is the 3762712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14158001594944

14158001594944 is an abundant number, since it is smaller than the sum of its proper divisors (16181111861963).

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

14158001594944 is an frugal number, since it uses more digits than its factorization.

14158001594944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 14158001594944 in words is "fourteen trillion, one hundred fifty-eight billion, one million, five hundred ninety-four thousand, nine hundred forty-four".