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31150420432 = 2431412236869
BaseRepresentation
bin11101000000101101…
…011011000111010000
32222101221000022112021
4131000231123013100
51002244001423212
622151005341224
72151636130165
oct350055330720
988357008467
1031150420432
1112235666a1a
126054267814
132c2581a651
14171715006c
15c24b1e307
hex740b5b1d0

31150420432 has 80 divisors (see below), whose sum is σ = 64115896320. Its totient is φ = 14637081600.

The previous prime is 31150420429. The next prime is 31150420453. The reversal of 31150420432 is 23402405113.

It is a junction number, because it is equal to n+sod(n) for n = 31150420397 and 31150420406.

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, 4531494 + ... + 4538362.

It is an arithmetic number, because the mean of its divisors is an integer number (801448704).

Almost surely, 231150420432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31150420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32057948160).

31150420432 is an abundant number, since it is smaller than the sum of its proper divisors (32965475888).

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

31150420432 is a wasteful number, since it uses less digits than its factorization.

31150420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7172 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 31150420432 its reverse (23402405113), we get a palindrome (54552825545).

The spelling of 31150420432 in words is "thirty-one billion, one hundred fifty million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 223 248 328 446 496 656 892 1271 1784 2542 3568 5084 6869 6913 9143 10168 13738 13826 18286 20336 27476 27652 36572 54952 55304 73144 109904 110608 146288 212939 281629 283433 425878 563258 566866 851756 1126516 1133732 1531787 1703512 2253032 2267464 3063574 3407024 4506064 4534928 6127148 8730499 12254296 17460998 24508592 34921996 47485397 62803267 69843992 94970794 125606534 139687984 189941588 251213068 379883176 502426136 759766352 1004852272 1946901277 3893802554 7787605108 15575210216 31150420432