Search a number
-
+
31213404432 = 243571146877
BaseRepresentation
bin11101000100011101…
…101100000100010000
32222120022112020100000
4131010131230010100
51002411112420212
622201135330000
72153332363050
oct350435540420
988508466300
1031213404432
1112268175811
126071380900
132c358a08a2
141721667560
15c2a4111dc
hex74476c110

31213404432 has 120 divisors (see below), whose sum is σ = 103530970816. Its totient is φ = 8918107776.

The previous prime is 31213404413. The next prime is 31213404449. The reversal of 31213404432 is 23440431213.

31213404432 is a `hidden beast` number, since 3 + 1 + 213 + 4 + 0 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31213404396 and 31213404405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546223 + ... + 600654.

Almost surely, 231213404432 is an apocalyptic number.

It is an amenable number.

31213404432 is an abundant number, since it is smaller than the sum of its proper divisors (72317566384).

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

31213404432 is a wasteful number, since it uses less digits than its factorization.

31213404432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146907 (or 1146889 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31213404432 its reverse (23440431213), we get a palindrome (54653835645).

The spelling of 31213404432 in words is "thirty-one billion, two hundred thirteen million, four hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 1146877 2293754 3440631 4587508 6881262 8028139 9175016 10321893 13762524 16056278 18350032 20643786 24084417 27525048 30965679 32112556 41287572 48168834 55050096 61931358 64225112 72253251 82575144 92897037 96337668 123862716 128450224 144506502 165150288 185794074 192675336 216759753 247725432 278691111 289013004 371588148 385350672 433519506 495450864 557382222 578026008 650279259 743176296 867039012 1114764444 1156052016 1300558518 1486352592 1734078024 1950837777 2229528888 2601117036 3468156048 3901675554 4459057776 5202234072 7803351108 10404468144 15606702216 31213404432