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31421504314304 = 2613533472053517
BaseRepresentation
bin1110010010011111000111…
…00110100101101111000000
311010020212101122211220111022
413021033203212211233000
513104302220101024204
6150454501222005012
76422062111610156
oct711174346455700
9133225348756438
1031421504314304
11a014870034a25
123635846276768
13146c05c293950
147a8b479853d6
1539752aca25be
hex1c93e39a5bc0

31421504314304 has 112 divisors (see below), whose sum is σ = 68612504835168. Its totient is φ = 14187594190848.

The previous prime is 31421504314279. The next prime is 31421504314351. The reversal of 31421504314304 is 40341340512413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14274554 + ... + 16328070.

It is an arithmetic number, because the mean of its divisors is an integer number (612611650314).

Almost surely, 231421504314304 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 31421504314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34306252417584).

31421504314304 is an abundant number, since it is smaller than the sum of its proper divisors (37191000520864).

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

31421504314304 is a wasteful number, since it uses less digits than its factorization.

31421504314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053942 (or 2053932 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 31421504314304 its reverse (40341340512413), we get a palindrome (71762844826717).

The spelling of 31421504314304 in words is "thirty-one trillion, four hundred twenty-one billion, five hundred four million, three hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 347 416 424 689 694 832 848 1378 1388 1696 2756 2776 3392 4511 5512 5552 9022 11024 11104 18044 18391 22048 22208 36088 36782 44096 72176 73564 144352 147128 239083 288704 294256 478166 588512 956332 1177024 1912664 2053517 3825328 4107034 7650656 8214068 15301312 16428136 26695721 32856272 53391442 65712544 106782884 108836401 131425088 213565768 217672802 427131536 435345604 712570399 854263072 870691208 1414873213 1425140798 1708526144 1741382416 2829746426 2850281596 3482764832 5659492852 5700563192 6965529664 9263415187 11318985704 11401126384 18526830374 22637971408 22802252768 37053660748 37766231147 45275942816 45604505536 74107321496 75532462294 90551885632 148214642992 151064924588 296429285984 302129849176 490961004911 592858571968 604259698352 981922009822 1208519396704 1963844019644 2417038793408 3927688039288 7855376078576 15710752157152 31421504314304