Search a number
-
+
1014337631616 = 2732641504249
BaseRepresentation
bin11101100001010110011…
…10111111010110000000
310120222011221012120120020
432300223032333112000
5113104330413202431
62053551423413440
7133166142416211
oct16605316772600
93528157176506
101014337631616
113611a6170821
12144703754280
137486182002a
14371466cb408
151b5ba33d696
hexec2b3bf580

1014337631616 has 32 divisors (see below), whose sum is σ = 2694334335000. Its totient is φ = 338112543744.

The previous prime is 1014337631599. The next prime is 1014337631633. The reversal of 1014337631616 is 6161367334101.

It is an interprime number because it is at equal distance from previous prime (1014337631599) and next prime (1014337631633).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10143376316162 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1320751741 + ... + 1320752508.

Almost surely, 21014337631616 is an apocalyptic number.

1014337631616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1014337631616 is an abundant number, since it is smaller than the sum of its proper divisors (1679996703384).

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

1014337631616 is an equidigital number, since it uses as much as digits as its factorization.

1014337631616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641504266 (or 2641504254 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 1014337631616 in words is "one trillion, fourteen billion, three hundred thirty-seven million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 2641504249 5283008498 7924512747 10566016996 15849025494 21132033992 31698050988 42264067984 63396101976 84528135968 126792203952 169056271936 253584407904 338112543872 507168815808 1014337631616