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40404040131 = 37131723894253
BaseRepresentation
bin100101101000010001…
…001011100111000011
310212021211022220100210
4211220101023213003
51130221413241011
630321130445203
72630151450240
oct455021134703
9125254286323
1040404040131
1116154033404
1279b7293803
133a6b9a9a70
141d541045c7
1510b71e76a6
hex96844b9c3

40404040131 has 128 divisors (see below), whose sum is σ = 74097192960. Its totient is φ = 18966233088.

The previous prime is 40404040109. The next prime is 40404040153. The reversal of 40404040131 is 13104040404.

It is an interprime number because it is at equal distance from previous prime (40404040109) and next prime (40404040153).

It is not a de Polignac number, because 40404040131 - 26 = 40404040067 is a prime.

It is a super-2 number, since 2×404040401312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40404040098 and 40404040107.

It is not an unprimeable number, because it can be changed into a prime (40404040181) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9498001 + ... + 9502253.

It is an arithmetic number, because the mean of its divisors is an integer number (578884320).

Almost surely, 240404040131 is an apocalyptic number.

40404040131 is a deficient number, since it is larger than the sum of its proper divisors (33693152829).

40404040131 is a wasteful number, since it uses less digits than its factorization.

40404040131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 40404040131 its reverse (13104040404), we get a palindrome (53508080535).

The spelling of 40404040131 in words is "forty billion, four hundred four million, forty thousand, one hundred thirty-one".

Divisors: 1 3 7 13 17 21 23 39 51 69 89 91 119 161 221 267 273 299 357 391 483 623 663 897 1157 1173 1513 1547 1869 2047 2093 2737 3471 4253 4539 4641 5083 6141 6279 8099 8211 10591 12759 14329 15249 19669 24297 26611 29771 31773 34799 35581 42987 55289 59007 72301 79833 89313 97819 104397 106743 137683 165867 186277 216903 243593 293457 378517 387023 413049 452387 506107 558831 684733 730779 939913 1135551 1161069 1271647 1357161 1518321 1662923 2054199 2649619 2819739 3166709 3814941 4920721 4988769 6434789 6579391 7948857 8705891 8901529 9500127 11640461 14762163 19304367 19738173 21617999 26117673 26704587 34445047 34921383 45043523 60941237 64853997 83652257 103335141 113176583 135130569 148000147 151325993 182823711 250956771 339529749 444000441 453977979 585565799 792236081 1036001029 1756697397 1924001911 2376708243 3108003087 5772005733 13468013377 40404040131