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40431013404 = 223232937136523
BaseRepresentation
bin100101101001111000…
…000100111000011100
310212100201002021201220
4211221320010320130
51130300314412104
630323532533340
72630626641435
oct455170047034
9125321067656
1040431013404
1116168286871
127a04321250
133a74462192
141d5792648c
1510b97747d9
hex969e04e1c

40431013404 has 96 divisors (see below), whose sum is σ = 104588305920. Its totient is φ = 12110047488.

The previous prime is 40431013319. The next prime is 40431013411.

40431013404 is nontrivially palindromic in base 10.

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, 227887 + ... + 364409.

It is an arithmetic number, because the mean of its divisors is an integer number (1089461520).

Almost surely, 240431013404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40431013404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52294152960).

40431013404 is an abundant number, since it is smaller than the sum of its proper divisors (64157292516).

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

40431013404 is a wasteful number, since it uses less digits than its factorization.

40431013404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136619 (or 136617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 404310 and 13404, that added together give a palindrome (417714).

The spelling of 40431013404 in words is "forty billion, four hundred thirty-one million, thirteen thousand, four hundred four".

Divisors: 1 2 3 4 6 12 23 29 37 46 58 69 74 87 92 111 116 138 148 174 222 276 348 444 667 851 1073 1334 1702 2001 2146 2553 2668 3219 3404 4002 4292 5106 6438 8004 10212 12876 24679 49358 74037 98716 136523 148074 273046 296148 409569 546092 819138 1638276 3140029 3959167 5051351 6280058 7918334 9420087 10102702 11877501 12560116 15154053 15836668 18840174 20205404 23755002 30308106 37680348 47510004 60616212 91060841 116181073 146489179 182121682 232362146 273182523 292978358 348543219 364243364 439467537 464724292 546365046 585956716 697086438 878935074 1092730092 1394172876 1757870148 3369251117 6738502234 10107753351 13477004468 20215506702 40431013404