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431434252040 = 235112326942139
BaseRepresentation
bin1100100011100110111…
…11000011111100001000
31112020121101122211021212
412101303133003330020
524032034132031130
6530110445152252
743112225430461
oct6216337037410
91466541584255
10431434252040
11156a7442a1a0
126b74655b688
13318b7bb538c
1416c4acb7d68
15b3513d0e95
hex64737c3f08

431434252040 has 64 divisors (see below), whose sum is σ = 1059045624000. Its totient is φ = 156874717440.

The previous prime is 431434251907. The next prime is 431434252061. The reversal of 431434252040 is 40252434134.

It is a super-2 number, since 2×4314342520402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431434251988 and 431434252006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10217291 + ... + 10259429.

It is an arithmetic number, because the mean of its divisors is an integer number (16547587875).

Almost surely, 2431434252040 is an apocalyptic number.

431434252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431434252040 is an abundant number, since it is smaller than the sum of its proper divisors (627611371960).

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

431434252040 is a wasteful number, since it uses less digits than its factorization.

431434252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65430 (or 65426 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 431434252040 its reverse (40252434134), we get a palindrome (471686686174).

The spelling of 431434252040 in words is "four hundred thirty-one billion, four hundred thirty-four million, two hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23269 42139 46538 84278 93076 116345 168556 186152 210695 232690 255959 337112 421390 463529 465380 511918 842780 927058 930760 1023836 1279795 1685560 1854116 2047672 2317645 2559590 3708232 4635290 5119180 9270580 10238360 18541160 980532391 1961064782 3922129564 4902661955 7844259128 9805323910 10785856301 19610647820 21571712602 39221295640 43143425204 53929281505 86286850408 107858563010 215717126020 431434252040