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130040385588 = 2232315912715551
BaseRepresentation
bin111100100011100000…
…0101101000000110100
3110102122201221001020100
41321013000231000310
54112310314314323
6135423440434100
712252344016411
oct1710700550064
9412581831210
10130040385588
1150171453453
1221252318930
13c355374a29
1464189bd108
1535b168e943
hex1e4702d034

130040385588 has 144 divisors (see below), whose sum is σ = 347807416320. Its totient is φ = 40910184000.

The previous prime is 130040385581. The next prime is 130040385623. The reversal of 130040385588 is 885583040031.

130040385588 is a `hidden beast` number, since 1 + 30 + 0 + 4 + 0 + 38 + 5 + 588 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130040385581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8354413 + ... + 8369963.

It is an arithmetic number, because the mean of its divisors is an integer number (2415329280).

Almost surely, 2130040385588 is an apocalyptic number.

130040385588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130040385588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173903708160).

130040385588 is an abundant number, since it is smaller than the sum of its proper divisors (217767030732).

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

130040385588 is a wasteful number, since it uses less digits than its factorization.

130040385588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15778 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 130040385588 in words is "one hundred thirty billion, forty million, three hundred eighty-five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 127 177 186 236 254 279 354 372 381 508 531 558 708 762 1062 1116 1143 1524 1829 2124 2286 3658 3937 4572 5487 7316 7493 7874 10974 11811 14986 15551 15748 16461 21948 22479 23622 29972 31102 32922 35433 44958 46653 47244 62204 65844 67437 70866 89916 93306 134874 139959 141732 186612 232283 269748 279918 464566 482081 559836 696849 917509 929132 964162 1393698 1446243 1835018 1928324 1974977 2090547 2752527 2787396 2892486 3670036 3949954 4181094 4338729 5505054 5784972 5924931 7899908 8257581 8362188 8677458 11010108 11849862 16515162 17354916 17774793 23699724 28442779 33030324 35549586 56885558 61224287 71099172 85328337 113771116 116523643 122448574 170656674 183672861 233047286 244897148 255985011 341313348 349570929 367345722 466094572 511970022 551018583 699141858 734691444 1023940044 1048712787 1102037166 1398283716 2097425574 2204074332 3612232933 4194851148 7224465866 10836698799 14448931732 21673397598 32510096397 43346795196 65020192794 130040385588