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12041014003431 = 3759103892910567
BaseRepresentation
bin1010111100111000010001…
…0111001100011011100111
31120122002221222011100111120
42233032010113030123213
53034234444041102211
641335322050305023
72351635360206360
oct257160427143347
946562858140446
1012041014003431
113922624550706
121425767288173
1369460287317a
142d8b06b00b67
1515d333952d06
hexaf3845cc6e7

12041014003431 has 64 divisors (see below), whose sum is σ = 18844248883200. Its totient is φ = 6696905942016.

The previous prime is 12041014003393. The next prime is 12041014003463. The reversal of 12041014003431 is 13430041014021.

It is not a de Polignac number, because 12041014003431 - 211 = 12041014001383 is a prime.

It is a super-2 number, since 2×120410140034312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12041014803431) 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, 1139486910 + ... + 1139497476.

It is an arithmetic number, because the mean of its divisors is an integer number (294441388800).

Almost surely, 212041014003431 is an apocalyptic number.

12041014003431 is a deficient number, since it is larger than the sum of its proper divisors (6803234879769).

12041014003431 is a wasteful number, since it uses less digits than its factorization.

12041014003431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19668.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12041014003431 its reverse (13430041014021), we get a palindrome (25471055017452).

The spelling of 12041014003431 in words is "twelve trillion, forty-one billion, fourteen million, three thousand, four hundred thirty-one".

Divisors: 1 3 7 21 59 103 177 309 413 721 1239 2163 6077 8929 10567 18231 26787 31701 42539 62503 73969 127617 187509 221907 526811 623453 919687 1088401 1580433 1870359 2759061 3265203 3687677 4364171 6437809 7618807 11063031 13092513 19313427 22856421 54261533 64215659 94352743 162784599 192646977 283058229 379830731 449509613 660469201 1139492193 1348528839 1981407603 5566811837 9718332529 16700435511 29154997587 38967682859 68028327703 116903048577 204084983109 573381619211 1720144857633 4013671334477 12041014003431