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131310040411104 = 2534359473137567
BaseRepresentation
bin11101110110110100000000…
…010100000110101111100000
3122012221010011111011110201220
4131312310000110012233200
5114202340430321123404
61143134555542255040
736441560132364552
oct3566640024065740
9565833144143656
10131310040411104
1138926303625935
1212888922a27480
135836639848789
14245d622dc94d2
15102aa1ebb04d9
hex776d00506be0

131310040411104 has 48 divisors (see below), whose sum is σ = 344689756604928. Its totient is φ = 43769899117952.

The previous prime is 131310040411103. The next prime is 131310040411133. The reversal of 131310040411104 is 401114040013131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131310040411103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40282129 + ... + 43419695.

It is an arithmetic number, because the mean of its divisors is an integer number (7181036595936).

Almost surely, 2131310040411104 is an apocalyptic number.

It is an amenable number.

131310040411104 is an abundant number, since it is smaller than the sum of its proper divisors (213379716193824).

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

131310040411104 is a wasteful number, since it uses less digits than its factorization.

131310040411104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3573527 (or 3573519 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131310040411104 its reverse (401114040013131), we get a palindrome (532424080424235).

The spelling of 131310040411104 in words is "one hundred thirty-one trillion, three hundred ten billion, forty million, four hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 435947 871894 1307841 1743788 2615682 3137567 3487576 5231364 6275134 6975152 9412701 10462728 12550268 13950304 18825402 20925456 25100536 37650804 41850912 50201072 75301608 100402144 150603216 301206432 1367812920949 2735625841898 4103438762847 5471251683796 8206877525694 10942503367592 16413755051388 21885006735184 32827510102776 43770013470368 65655020205552 131310040411104