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31434420402 = 232711109208073
BaseRepresentation
bin11101010001101000…
…110011000010110010
310000010201102000020200
4131101220303002302
51003334202423102
622235112420030
72161655110350
oct352150630262
9100121360220
1031434420402
1112370a02340
1261133a7616
132c6c605878
141742b5a7d0
15c3ea1c51c
hex751a330b2

31434420402 has 96 divisors (see below), whose sum is σ = 85693196160. Its totient is φ = 8089839360.

The previous prime is 31434420383. The next prime is 31434420461. The reversal of 31434420402 is 20402443413.

It is a happy number.

31434420402 is a `hidden beast` number, since 314 + 344 + 2 + 0 + 4 + 0 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47038 + ... + 255110.

It is an arithmetic number, because the mean of its divisors is an integer number (892637460).

Almost surely, 231434420402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434420402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42846598080).

31434420402 is an abundant number, since it is smaller than the sum of its proper divisors (54258775758).

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

31434420402 is a wasteful number, since it uses less digits than its factorization.

31434420402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208208 (or 208205 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 31434420402 its reverse (20402443413), we get a palindrome (51836863815).

The spelling of 31434420402 in words is "thirty-one billion, four hundred thirty-four million, four hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 109 126 154 198 218 231 327 462 654 693 763 981 1199 1386 1526 1962 2289 2398 3597 4578 6867 7194 8393 10791 13734 16786 21582 25179 50358 75537 151074 208073 416146 624219 1248438 1456511 1872657 2288803 2913022 3745314 4369533 4577606 6866409 8739066 13108599 13732818 16021621 20599227 22679957 26217198 32043242 41198454 45359914 48064863 68039871 96129726 136079742 144194589 158759699 204119613 249479527 288389178 317519398 408239226 476279097 498959054 748438581 952558194 1428837291 1496877162 1746356689 2245315743 2857674582 3492713378 4490631486 5239070067 10478140134 15717210201 31434420402