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31420040430 = 2352961592049
BaseRepresentation
bin11101010000110001…
…111100010011101110
310000002201100102122010
4131100301330103232
51003322012243210
622233440302050
72161421636262
oct352061742356
9100081312563
1031420040430
1112363880469
12610a611926
132c6963c4cc
141740c960a2
15c3d62b920
hex750c7c4ee

31420040430 has 64 divisors (see below), whose sum is σ = 79287336000. Its totient is φ = 7957125120.

The previous prime is 31420040429. The next prime is 31420040437. The reversal of 31420040430 is 3404002413.

It is a junction number, because it is equal to n+sod(n) for n = 31420040397 and 31420040406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420040437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242955 + ... + 349094.

It is an arithmetic number, because the mean of its divisors is an integer number (1238864625).

Almost surely, 231420040430 is an apocalyptic number.

31420040430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31420040430 is an abundant number, since it is smaller than the sum of its proper divisors (47867295570).

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

31420040430 is a wasteful number, since it uses less digits than its factorization.

31420040430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592149.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 31420040430 its reverse (3404002413), we get a palindrome (34824042843).

The spelling of 31420040430 in words is "thirty-one billion, four hundred twenty million, forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 61 87 122 145 174 183 290 305 366 435 610 870 915 1769 1830 3538 5307 8845 10614 17690 26535 53070 592049 1184098 1776147 2960245 3552294 5920490 8880735 17169421 17761470 34338842 36114989 51508263 72229978 85847105 103016526 108344967 171694210 180574945 216689934 257541315 361149890 515082630 541724835 1047334681 1083449670 2094669362 3142004043 5236673405 6284008086 10473346810 15710020215 31420040430