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31426514406 = 2337195382561
BaseRepresentation
bin11101010001001010…
…101000110111100110
310000010011112100021000
4131101022220313212
51003330141430111
622234231134130
72161530651660
oct352112506746
9100104470230
1031426514406
11123674a2461
126110814346
132c6aa98171
141741a9d530
15c3dea9c56
hex7512a8de6

31426514406 has 128 divisors (see below), whose sum is σ = 85600281600. Its totient is φ = 8345825280.

The previous prime is 31426514389. The next prime is 31426514423. The reversal of 31426514406 is 60441562413.

It is an interprime number because it is at equal distance from previous prime (31426514389) and next prime (31426514423).

It is a congruent number.

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, 339366 + ... + 421926.

It is an arithmetic number, because the mean of its divisors is an integer number (668752200).

Almost surely, 231426514406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31426514406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42800140800).

31426514406 is an abundant number, since it is smaller than the sum of its proper divisors (54173767194).

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

31426514406 is a wasteful number, since it uses less digits than its factorization.

31426514406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82651 (or 82645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 31426514406 in words is "thirty-one billion, four hundred twenty-six million, five hundred fourteen thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 53 54 57 63 106 114 126 133 159 171 189 266 318 342 371 378 399 477 513 742 798 954 1007 1026 1113 1197 1431 2014 2226 2394 2862 3021 3339 3591 6042 6678 7049 7182 9063 10017 14098 18126 20034 21147 27189 42294 54378 63441 82561 126882 165122 190323 247683 380646 495366 577927 743049 1155854 1486098 1568659 1733781 2229147 3137318 3467562 4375733 4458294 4705977 5201343 8751466 9411954 10402686 10980613 13127199 14117931 15604029 21961226 26254398 28235862 30630131 31208058 32941839 39381597 42353793 61260262 65883678 78763194 83138927 84707586 91890393 98825517 118144791 166277854 183780786 197651034 236289582 249416781 275671179 296476551 498833562 551342358 581972489 592953102 748250343 827013537 1163944978 1496500686 1654027074 1745917467 2244751029 3491834934 4489502058 5237752401 10475504802 15713257203 31426514406