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130142234304 = 2633613122861
BaseRepresentation
bin111100100110100010…
…1001110011011000000
3110102220211120111102000
41321031011032123000
54113012402444204
6135441515424000
712255021511425
oct1711505163300
9412824514360
10130142234304
1150213997945
1221280455000
13c3704b4b44
146428331d4c
1535ba5ac039
hex1e4d14e6c0

130142234304 has 112 divisors (see below), whose sum is σ = 383221321440. Its totient is φ = 43309624320.

The previous prime is 130142234293. The next prime is 130142234329. The reversal of 130142234304 is 403432241031.

130142234304 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 223 + 430 + 4 = 666.

It is a super-2 number, since 2×1301422343042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997834 + ... + 1120694.

Almost surely, 2130142234304 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 130142234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191610660720).

130142234304 is an abundant number, since it is smaller than the sum of its proper divisors (253079087136).

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

130142234304 is a wasteful number, since it uses less digits than its factorization.

130142234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123495 (or 123479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 130142234304 its reverse (403432241031), we get a palindrome (533574475335).

The spelling of 130142234304 in words is "one hundred thirty billion, one hundred forty-two million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 613 864 1226 1728 1839 2452 3678 4904 5517 7356 9808 11034 14712 16551 19616 22068 29424 33102 39232 44136 58848 66204 88272 117696 122861 132408 176544 245722 264816 353088 368583 491444 529632 737166 982888 1059264 1105749 1474332 1965776 2211498 2948664 3317247 3931552 4422996 5897328 6634494 7863104 8845992 11794656 13268988 17691984 23589312 26537976 35383968 53075952 70767936 75313793 106151904 150627586 212303808 225941379 301255172 451882758 602510344 677824137 903765516 1205020688 1355648274 1807531032 2033472411 2410041376 2711296548 3615062064 4066944822 4820082752 5422593096 7230124128 8133889644 10845186192 14460248256 16267779288 21690372384 32535558576 43380744768 65071117152 130142234304