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131342457744 = 2434100672
BaseRepresentation
bin111101001010010011…
…1101101101110010000
3110120000111000011110000
41322110213231232100
54122442132121434
6140200552410000
712326534320221
oct1722447555620
9416014004400
10131342457744
115077a436543
12215563a6900
13c502056c24
1464dd8bd248
15363ab3db99
hex1e949edb90

131342457744 has 75 divisors (see below), whose sum is σ = 380180943307. Its totient is φ = 43776470304.

The previous prime is 131342457721. The next prime is 131342457773. The reversal of 131342457744 is 447754243131.

The square root of 131342457744 is 362412.

It is a perfect power (a square), and thus also a powerful number.

131342457744 is a `hidden beast` number, since 1 + 3 + 1 + 34 + 2 + 4 + 577 + 44 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131342457744.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13041799 + ... + 13051865.

Almost surely, 2131342457744 is an apocalyptic number.

131342457744 is the 362412-nd square number.

It is an amenable number.

131342457744 is an abundant number, since it is smaller than the sum of its proper divisors (248838485563).

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

131342457744 is an frugal number, since it uses more digits than its factorization.

131342457744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20154 (or 10072 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 131342457744 in words is "one hundred thirty-one billion, three hundred forty-two million, four hundred fifty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 10067 20134 30201 40268 60402 80536 90603 120804 161072 181206 241608 271809 362412 483216 543618 724824 815427 1087236 1449648 1630854 2174472 3261708 4348944 6523416 13046832 101344489 202688978 304033467 405377956 608066934 810755912 912100401 1216133868 1621511824 1824200802 2432267736 2736301203 3648401604 4864535472 5472602406 7296803208 8208903609 10945204812 14593606416 16417807218 21890409624 32835614436 43780819248 65671228872 131342457744