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131343444024009 = 37235211451359713
BaseRepresentation
bin11101110111010011000111…
…010100110001101011001001
3122020001022101102221211021020
4131313103013110301223021
5114203412333132232014
61143202202321503053
736444151661406240
oct3567230724615311
9566038342854236
10131343444024009
1138939495042698
12128932a57a1a89
1358398310cccb9
1424610b14a1957
15102b8275071a9
hex7774c7531ac9

131343444024009 has 64 divisors (see below), whose sum is σ = 209389876236288. Its totient is φ = 71602831872000.

The previous prime is 131343444023999. The next prime is 131343444024031. The reversal of 131343444024009 is 900420444343131.

It is not a de Polignac number, because 131343444024009 - 217 = 131343443892937 is a prime.

It is a super-2 number, since 2×1313434440240092 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131343444024109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364954137 + ... + 365313849.

It is an arithmetic number, because the mean of its divisors is an integer number (3271716816192).

Almost surely, 2131343444024009 is an apocalyptic number.

It is an amenable number.

131343444024009 is a deficient number, since it is larger than the sum of its proper divisors (78046432212279).

131343444024009 is a wasteful number, since it uses less digits than its factorization.

131343444024009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361718.

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 131343444024009 in words is "one hundred thirty-one trillion, three hundred forty-three billion, four hundred forty-four million, twenty-four thousand, nine".

Divisors: 1 3 7 21 23 69 161 483 521 1451 1563 3647 4353 10157 10941 11983 30471 33373 35949 83881 100119 233611 251643 359713 700833 755971 1079139 2267913 2517991 5291797 7553973 8273399 15875391 17387333 24820197 52161999 57913793 121711331 173741379 187410473 365133993 521943563 562231419 1311873311 1565830689 3653604941 3935619933 4310440879 10960814823 12004701949 12931322637 30173086153 36014105847 84032913643 90519258459 252098740929 271932596323 815797788969 1903528174261 5710584522783 6254449715429 18763349146287 43781148008003 131343444024009