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31424024032 = 2547203910247
BaseRepresentation
bin11101010001000001…
…001000110111100000
310000002222211211002221
4131101001020313200
51003324022232112
622234101520424
72161500540262
oct352101106740
9100088754087
1031424024032
11123660513a5
12610ba13114
132c6a40577b
141741611b32
15c3db66e07
hex751048de0

31424024032 has 48 divisors (see below), whose sum is σ = 63219502080. Its totient is φ = 15368672128.

The previous prime is 31424024029. The next prime is 31424024041. The reversal of 31424024032 is 23042042413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31424023988 and 31424024006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3061533 + ... + 3071779.

It is an arithmetic number, because the mean of its divisors is an integer number (1317072960).

Almost surely, 231424024032 is an apocalyptic number.

31424024032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31609751040).

31424024032 is an abundant number, since it is smaller than the sum of its proper divisors (31795478048).

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

31424024032 is a wasteful number, since it uses less digits than its factorization.

31424024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12343 (or 12335 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 31424024032 its reverse (23042042413), we get a palindrome (54466066445).

The spelling of 31424024032 in words is "thirty-one billion, four hundred twenty-four million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 2039 4078 8156 10247 16312 20494 32624 40988 65248 81976 95833 163952 191666 327904 383332 481609 766664 963218 1533328 1926436 3066656 3852872 7705744 15411488 20893633 41787266 83574532 167149064 334298128 668596256 982000751 1964001502 3928003004 7856006008 15712012016 31424024032