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31422738048 = 2731316073917
BaseRepresentation
bin11101010000111100…
…001110111010000000
310000002220102111001220
4131100330032322000
51003323210104143
622234014155040
72161453603122
oct352074167200
9100086374056
1031422738048
11123653531a9
12610b4b2a80
132c6a075330
141741399212
15c3d9b0d83
hex750f0ee80

31422738048 has 128 divisors (see below), whose sum is σ = 89966056320. Its totient is φ = 9660051456.

The previous prime is 31422738047. The next prime is 31422738089. The reversal of 31422738048 is 84083722413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (31422738047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8020186 + ... + 8024102.

It is an arithmetic number, because the mean of its divisors is an integer number (702859815).

Almost surely, 231422738048 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 31422738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44983028160).

31422738048 is an abundant number, since it is smaller than the sum of its proper divisors (58543318272).

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

31422738048 is a wasteful number, since it uses less digits than its factorization.

31422738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5554 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 31422738048 in words is "thirty-one billion, four hundred twenty-two million, seven hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1607 1664 2496 3214 3917 4821 4992 6428 7834 9642 11751 12856 15668 19284 20891 23502 25712 31336 38568 41782 47004 50921 51424 62672 62673 77136 83564 94008 101842 102848 125344 125346 152763 154272 167128 188016 203684 205696 250688 250692 305526 308544 334256 376032 407368 501376 501384 611052 617088 668512 752064 814736 1002768 1222104 1337024 1504128 1629472 2005536 2444208 2674048 3258944 4011072 4888416 6294619 6517888 8022144 9776832 12589238 18883857 19553664 25178476 37767714 50356952 75535428 81830047 100713904 151070856 163660094 201427808 245490141 302141712 327320188 402855616 490980282 604283424 654640376 805711232 981960564 1208566848 1309280752 1963921128 2417133696 2618561504 3927842256 5237123008 7855684512 10474246016 15711369024 31422738048