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3130468992 = 27337129401
BaseRepresentation
bin1011101010010111…
…0010101010000000
322002011112022011000
42322211302222000
522402400001432
61234344452000
7140401355520
oct27245625200
98064468130
103130468992
111367082762
1273447a000
133ab735621
14219a89680
15134c6657c
hexba972a80

3130468992 has 128 divisors (see below), whose sum is σ = 10559203200. Its totient is φ = 894412800.

The previous prime is 3130468969. The next prime is 3130468997. The reversal of 3130468992 is 2998640313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31304689922 = 19599672219746992128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3130468997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40509 + ... + 88892.

It is an arithmetic number, because the mean of its divisors is an integer number (82493775).

Almost surely, 23130468992 is an apocalyptic number.

3130468992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3130468992 is an abundant number, since it is smaller than the sum of its proper divisors (7428734208).

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

3130468992 is a wasteful number, since it uses less digits than its factorization.

3130468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129431 (or 129413 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3130468992 is about 55950.5942059600. The cubic root of 3130468992 is about 1462.8612483027.

The spelling of 3130468992 in words is "three billion, one hundred thirty million, four hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 24192 129401 258802 388203 517604 776406 905807 1035208 1164609 1552812 1811614 2070416 2329218 2717421 3105624 3493827 3623228 4140832 4658436 5434842 6211248 6987654 7246456 8152263 8281664 9316872 10869684 12422496 13975308 14492912 16304526 16563328 18633744 21739368 24456789 24844992 27950616 28985824 32609052 37267488 43478736 48913578 49689984 55901232 57971648 65218104 74534976 86957472 97827156 111802464 115943296 130436208 149069952 173914944 195654312 223604928 260872416 347829888 391308624 447209856 521744832 782617248 1043489664 1565234496 3130468992