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131341424304 = 24343329919289
BaseRepresentation
bin111101001010010001…
…1110001011010110000
3110120000102001122211110
41322110203301122300
54122441401034204
6140200514313320
712326522454246
oct1722443613260
9416012048743
10131341424304
11507798a0062
1221555b88840
13c501a8471c
1464dd6d0796
15363a9d7889
hex1e948f16b0

131341424304 has 80 divisors (see below), whose sum is σ = 347312592000. Its totient is φ = 42747145728.

The previous prime is 131341424239. The next prime is 131341424311. The reversal of 131341424304 is 403424143131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6799492 + ... + 6818780.

It is an arithmetic number, because the mean of its divisors is an integer number (4341407400).

Almost surely, 2131341424304 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 131341424304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173656296000).

131341424304 is an abundant number, since it is smaller than the sum of its proper divisors (215971167696).

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

131341424304 is a wasteful number, since it uses less digits than its factorization.

131341424304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22642 (or 22636 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 131341424304 its reverse (403424143131), we get a palindrome (534765567435).

The spelling of 131341424304 in words is "one hundred thirty-one billion, three hundred forty-one million, four hundred twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 3299 6598 9897 13196 19289 19794 26392 38578 39588 52784 57867 77156 79176 115734 141857 154312 158352 231468 283714 308624 425571 462936 567428 829427 851142 925872 1134856 1658854 1702284 2269712 2488281 3317708 3404568 4976562 6635416 6809136 9953124 13270832 19906248 39812496 63634411 127268822 190903233 254537644 381806466 509075288 763612932 1018150576 1527225864 2736279673 3054451728 5472559346 8208839019 10945118692 16417678038 21890237384 32835356076 43780474768 65670712152 131341424304