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31454331426 = 2337799710859
BaseRepresentation
bin11101010010110100…
…110000001000100010
310000012002212121001000
4131102310300020202
51003404302101201
622241103252430
72162316256110
oct352264601042
9100162777030
1031454331426
1112381171831
126119baa116
132c7378763b
141745660ab0
15c41651d86
hex752d30222

31454331426 has 128 divisors (see below), whose sum is σ = 81736704000. Its totient is φ = 8780908032.

The previous prime is 31454331409. The next prime is 31454331449. The reversal of 31454331426 is 62413345413.

31454331426 is a `hidden beast` number, since 31 + 454 + 33 + 142 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891185 + ... + 2902043.

It is an arithmetic number, because the mean of its divisors is an integer number (638568000).

Almost surely, 231454331426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31454331426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40868352000).

31454331426 is an abundant number, since it is smaller than the sum of its proper divisors (50282372574).

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

31454331426 is a wasteful number, since it uses less digits than its factorization.

31454331426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11053 (or 11047 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 31454331426 its reverse (62413345413), we get a palindrome (93867676839).

The spelling of 31454331426 in words is "thirty-one billion, four hundred fifty-four million, three hundred thirty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 97 126 158 189 194 237 291 378 474 553 582 679 711 873 1106 1358 1422 1659 1746 2037 2133 2619 3318 4074 4266 4977 5238 6111 7663 9954 10859 12222 14931 15326 18333 21718 22989 29862 32577 36666 45978 53641 65154 68967 76013 97731 107282 137934 152026 160923 195462 206901 228039 293193 321846 413802 456078 482769 586386 684117 857861 965538 1053323 1368234 1448307 1715722 2052351 2106646 2573583 2896614 3159969 4104702 5147166 6005027 6319938 7373261 7720749 9479907 12010054 14746522 15441498 18015081 18959814 22119783 23162247 28439721 36030162 44239566 46324494 54045243 56879442 66359349 83212517 108090486 132718698 162135729 166425034 199078047 249637551 324271458 398156094 499275102 582487619 748912653 1164975238 1497825306 1747462857 2246737959 3494925714 4493475918 5242388571 10484777142 15727165713 31454331426