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31424217104 = 24710716316087
BaseRepresentation
bin11101010001000001…
…111000000000010000
310000010000012121221202
4131101001320000100
51003324044421404
622234110010332
72161502303210
oct352101700020
9100100177852
1031424217104
1112366173465
12610baa69a8
132c6a472607
141741662240
15c3dba421e
hex751078010

31424217104 has 80 divisors (see below), whose sum is σ = 70667762688. Its totient is φ = 13258982016.

The previous prime is 31424217053. The next prime is 31424217131. The reversal of 31424217104 is 40171242413.

It is a super-2 number, since 2×314242171042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945349 + ... + 1961435.

Almost surely, 231424217104 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 31424217104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35333881344).

31424217104 is an abundant number, since it is smaller than the sum of its proper divisors (39243545584).

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

31424217104 is a wasteful number, since it uses less digits than its factorization.

31424217104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16372 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 31424217104 its reverse (40171242413), we get a palindrome (71595459517).

The spelling of 31424217104 in words is "thirty-one billion, four hundred twenty-four million, two hundred seventeen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 163 214 326 428 652 749 856 1141 1304 1498 1712 2282 2608 2996 4564 5992 9128 11984 16087 17441 18256 32174 34882 64348 69764 112609 122087 128696 139528 225218 244174 257392 279056 450436 488348 900872 976696 1721309 1801744 1953392 2622181 3442618 5244362 6885236 10488724 12049163 13770472 18355267 20977448 24098326 27540944 36710534 41954896 48196652 73421068 96393304 146842136 192786608 280573367 293684272 561146734 1122293468 1964013569 2244586936 3928027138 4489173872 7856054276 15712108552 31424217104