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131045410355444 = 221329379421544627
BaseRepresentation
bin11101110010111101100011…
…001000100011100011110100
3122011222211002222000210011022
4131302331203020203203310
5114134022000022333234
61142413232550000312
736413501301130364
oct3562754310434364
9564884088023138
10131045410355444
11388340568872a2
121284558a946098
1358176b578aa20
1424508bb5729a4
151023bd27a9e2e
hex772f632238f4

131045410355444 has 96 divisors (see below), whose sum is σ = 256769445475200. Its totient is φ = 58104361566720.

The previous prime is 131045410355407. The next prime is 131045410355527. The reversal of 131045410355444 is 444553014540131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131045410355395 and 131045410355404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240342659 + ... + 240887285.

It is an arithmetic number, because the mean of its divisors is an integer number (2674681723700).

Almost surely, 2131045410355444 is an apocalyptic number.

It is an amenable number.

131045410355444 is a deficient number, since it is larger than the sum of its proper divisors (125724035119756).

131045410355444 is a wasteful number, since it uses less digits than its factorization.

131045410355444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545473 (or 545471 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 131045410355444 its reverse (444553014540131), we get a palindrome (575598424895575).

The spelling of 131045410355444 in words is "one hundred thirty-one trillion, forty-five billion, four hundred ten million, three hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 29 52 58 116 377 379 421 754 758 842 1508 1516 1684 4927 5473 9854 10946 10991 12209 19708 21892 21982 24418 43964 48836 142883 158717 159559 285766 317434 319118 544627 571532 634868 638236 1089254 2074267 2178508 4148534 4627211 7080151 8297068 9254422 14160302 15794183 18508844 28320604 31588366 60153743 63176732 120307486 205324379 206413633 229287967 240614972 410648758 412827266 458575934 821297516 825654532 917151868 2683377229 2980743571 5366754458 5961487142 5985995357 6649351043 10733508916 11922974284 11971990714 13298702086 23943981428 26597404172 77817939641 86441563559 86900139493 155635879282 172883127118 173800278986 311271758564 345766254236 347600557972 1129701813409 2259403626818 2520104045297 4518807253636 5040208090594 10080416181188 32761352588861 65522705177722 131045410355444