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141237665856 = 26327222372
BaseRepresentation
bin1000001110001001101…
…0111100000001000000
3111111120002120211010100
42003202122330001000
54303223320301411
6144514513202400
713130000231400
oct2034232740100
9444502524110
10141237665856
1154997a86891
1223458260400
131041b113761
146b9bb64800
153a196ec456
hex20e26bc040

141237665856 has 189 divisors, whose sum is σ = 471137943549. Its totient is φ = 40335579648.

The previous prime is 141237665843. The next prime is 141237665869. The reversal of 141237665856 is 658566732141.

It is a happy number.

The square root of 141237665856 is 375816.

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

141237665856 is a `hidden beast` number, since 14 + 12 + 37 + 6 + 6 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (141237665843) and next prime (141237665869).

It can be written as a sum of positive squares in only one way, i.e., 112332225600 + 28905440256 = 335160^2 + 170016^2 .

It is a super-2 number, since 2×1412376658562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63135970 + ... + 63138206.

Almost surely, 2141237665856 is an apocalyptic number.

141237665856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141237665856 is the 375816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141237665856

141237665856 is an abundant number, since it is smaller than the sum of its proper divisors (329900277693).

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

141237665856 is an frugal number, since it uses more digits than its factorization.

141237665856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 2249 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 141237665856 in words is "one hundred forty-one billion, two hundred thirty-seven million, six hundred sixty-five thousand, eight hundred fifty-six".