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4013234431404 = 22311171788428891
BaseRepresentation
bin111010011001100111011…
…010011010010110101100
3112012122212012121110211020
4322121213122122112230
51011223101003301104
612311353205454140
7562642455551202
oct72314732322654
915178765543736
104013234431404
111308004236890
12549960111350
132315a591b733
14dc354c91072
156e5d7cb82d9
hex3a66769a5ac

4013234431404 has 48 divisors (see below), whose sum is σ = 10816417938816. Its totient is φ = 1144594489600.

The previous prime is 4013234431399. The next prime is 4013234431441. The reversal of 4013234431404 is 4041344323104.

It is a super-2 number, since 2×40132344314042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 894212202 + ... + 894216689.

It is an arithmetic number, because the mean of its divisors is an integer number (225342040392).

Almost surely, 24013234431404 is an apocalyptic number.

4013234431404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4013234431404 is an abundant number, since it is smaller than the sum of its proper divisors (6803183507412).

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

4013234431404 is a wasteful number, since it uses less digits than its factorization.

4013234431404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788428926 (or 1788428924 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4013234431404 its reverse (4041344323104), we get a palindrome (8054578754508).

The spelling of 4013234431404 in words is "four trillion, thirteen billion, two hundred thirty-four million, four hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 1788428891 3576857782 5365286673 7153715564 10730573346 19672717801 21461146692 30403291147 39345435602 59018153403 60806582294 78690871204 91209873441 118036306806 121613164588 182419746882 236072613612 334436202617 364839493764 668872405234 1003308607851 1337744810468 2006617215702 4013234431404