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131540303444 = 2211234113732309
BaseRepresentation
bin111101010000001101…
…0011011111001010100
3110120112021021202201112
41322200122123321110
54123343304202234
6140232341114152
712334456062644
oct1724032337124
9416467252645
10131540303444
1150871087990
12215b06b8958
13c5340387a4
14651bca0524
15364d1beace
hex1ea069be54

131540303444 has 96 divisors (see below), whose sum is σ = 268743847680. Its totient is φ = 55731737600.

The previous prime is 131540303441. The next prime is 131540303459. The reversal of 131540303444 is 444303045131.

It is a super-2 number, since 2×1315403034442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131540303444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131540303441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56967362 + ... + 56969670.

It is an arithmetic number, because the mean of its divisors is an integer number (2799415080).

Almost surely, 2131540303444 is an apocalyptic number.

It is an amenable number.

131540303444 is an abundant number, since it is smaller than the sum of its proper divisors (137203544236).

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

131540303444 is a wasteful number, since it uses less digits than its factorization.

131540303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 131540303444 its reverse (444303045131), we get a palindrome (575843348575).

The spelling of 131540303444 in words is "one hundred thirty-one billion, five hundred forty million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 23 41 44 46 82 92 164 253 451 506 902 943 1012 1373 1804 1886 2309 2746 3772 4618 5492 9236 10373 15103 20746 25399 30206 31579 41492 50798 53107 56293 60412 63158 94669 101596 106214 112586 126316 189338 212428 225172 347369 378676 584177 619223 694738 1041359 1168354 1238446 1294739 1389476 2082718 2177387 2336708 2476892 2589478 3170257 4165436 4354774 5178956 6340514 8709548 12681028 14242129 23951257 28484258 34872827 47902514 56968516 69745654 72915911 95805028 129980537 139491308 145831822 259961074 291663644 519922148 802075021 1429785907 1604150042 2859571814 2989552351 3208300084 5719143628 5979104702 11958209404 32885075861 65770151722 131540303444