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1057187014416 = 2434138
BaseRepresentation
bin11110110001001010100…
…00011010011100010000
310202001210011212202110000
433120211100122130100
5114310104333430131
62125355350410000
7136244036232411
oct17304520323420
93661704782400
101057187014416
11378394566285
12150a81960900
1378900000000
143924d495808
151c777066ce6
hexf62541a710

1057187014416 has 225 divisors, whose sum is σ = 3314789762031. Its totient is φ = 325288312128.

The previous prime is 1057187014369. The next prime is 1057187014511. The reversal of 1057187014416 is 6144107817501.

The square root of 1057187014416 is 1028196.

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

1057187014416 is a `hidden beast` number, since 1 + 0 + 57 + 187 + 0 + 1 + 4 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74028816 + 1057112985600 = 8604^2 + 1028160^2 .

It is a super-2 number, since 2×10571870144162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 81322078026 + ... + 81322078038.

Almost surely, 21057187014416 is an apocalyptic number.

1057187014416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1057187014416 is the 1028196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057187014416

1057187014416 is an abundant number, since it is smaller than the sum of its proper divisors (2257602747615).

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

1057187014416 is an frugal number, since it uses more digits than its factorization.

1057187014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 1057187014416 in words is "one trillion, fifty-seven billion, one hundred eighty-seven million, fourteen thousand, four hundred sixteen".