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1631312206140 = 2235197643214639
BaseRepresentation
bin10111101111010001110…
…010001101100100111100
312202221200221201100202210
4113233101302031210330
5203211411411044030
63245225310020420
7225600302651541
oct27572162154474
95687627640683
101631312206140
11579921237401
122241ab1a7710
13baaa810ab76
1458d55112bc8
152c67a50ebb0
hex17bd1c8d93c

1631312206140 has 96 divisors (see below), whose sum is σ = 4598021514240. Its totient is φ = 432133261056.

The previous prime is 1631312206133. The next prime is 1631312206177. The reversal of 1631312206140 is 416022131361.

It is a super-2 number, since 2×16313122061402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1631312206098 and 1631312206107.

It is a congruent number.

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, 7492941 + ... + 7707579.

It is an arithmetic number, because the mean of its divisors is an integer number (47896057440).

Almost surely, 21631312206140 is an apocalyptic number.

1631312206140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1631312206140 is an abundant number, since it is smaller than the sum of its proper divisors (2966709308100).

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

1631312206140 is a wasteful number, since it uses less digits than its factorization.

1631312206140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215491 (or 215489 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 1631312206140 in words is "one trillion, six hundred thirty-one billion, three hundred twelve million, two hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 197 394 591 643 788 985 1182 1286 1929 1970 2364 2572 2955 3215 3858 3940 5910 6430 7716 9645 11820 12860 19290 38580 126671 214639 253342 380013 429278 506684 633355 643917 760026 858556 1073195 1266710 1287834 1520052 1900065 2146390 2533420 2575668 3219585 3800130 4292780 6439170 7600260 12878340 42283883 84567766 126851649 138012877 169135532 211419415 253703298 276025754 414038631 422838830 507406596 552051508 634258245 690064385 828077262 845677660 1268516490 1380128770 1656154524 2070193155 2537032980 2760257540 4140386310 8280772620 27188536769 54377073538 81565610307 108754147076 135942683845 163131220614 271885367690 326262441228 407828051535 543770735380 815656103070 1631312206140