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3130390016 = 29134111471
BaseRepresentation
bin1011101010010101…
…1111011000000000
322002011101021210222
42322211133120000
522402334440031
61234343042212
7140400606335
oct27245373000
98064337728
103130390016
111367029396
12734440368
133ab7086b0
14219a6898c
15134c4ce7b
hexba95f600

3130390016 has 80 divisors (see below), whose sum is σ = 6900683328. Its totient is φ = 1409433600.

The previous prime is 3130389989. The next prime is 3130390037. The reversal of 3130390016 is 6100930313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267161 + ... + 278631.

Almost surely, 23130390016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450341664).

3130390016 is an abundant number, since it is smaller than the sum of its proper divisors (3770293312).

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

3130390016 is a wasteful number, since it uses less digits than its factorization.

3130390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543 (or 11527 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 3130390016 is about 55949.8884359924. Note that the first 3 decimals coincide. The cubic root of 3130390016 is about 1462.8489464291.

The spelling of 3130390016 in words is "three billion, one hundred thirty million, three hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 256 328 416 512 533 656 832 1066 1312 1664 2132 2624 3328 4264 5248 6656 8528 10496 11471 17056 20992 22942 34112 45884 68224 91768 136448 149123 183536 272896 298246 367072 470311 596492 734144 940622 1192984 1468288 1881244 2385968 2936576 3762488 4771936 5873152 6114043 7524976 9543872 12228086 15049952 19087744 24456172 30099904 38175488 48912344 60199808 76350976 97824688 120399616 195649376 240799232 391298752 782597504 1565195008 3130390016