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31134120432 = 24331110691951
BaseRepresentation
bin11100111111101111…
…001111100111110000
32222100210100012010120
4130333233033213300
51002230313323212
622145224130240
72151350441262
oct347757174760
988323305116
1031134120432
1112227443548
12604a906980
132c2233138c
141714d09b32
15c2349e88c
hex73fbcf9f0

31134120432 has 80 divisors (see below), whose sum is σ = 80805304320. Its totient is φ = 10329696000.

The previous prime is 31134120427. The next prime is 31134120443. The reversal of 31134120432 is 23402143113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 15957057 + ... + 15959007.

It is an arithmetic number, because the mean of its divisors is an integer number (1010066304).

Almost surely, 231134120432 is an apocalyptic number.

It is an amenable number.

31134120432 is an abundant number, since it is smaller than the sum of its proper divisors (49671183888).

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

31134120432 is a wasteful number, since it uses less digits than its factorization.

31134120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31134120432 its reverse (23402143113), we get a palindrome (54536263545).

The spelling of 31134120432 in words is "thirty-one billion, one hundred thirty-four million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 933 1069 1244 1866 1951 2138 2488 3207 3732 3902 4276 4976 5853 6414 7464 7804 8552 11706 12828 14928 15608 17104 23412 25656 31216 46824 51312 93648 332459 606761 664918 997377 1213522 1329836 1820283 1994754 2085619 2427044 2659672 3640566 3989508 4171238 4854088 5319344 6256857 7281132 7979016 8342476 9708176 12513714 14562264 15958032 16684952 25027428 29124528 33369904 50054856 100109712 648627509 1297255018 1945882527 2594510036 3891765054 5189020072 7783530108 10378040144 15567060216 31134120432