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314826428896 = 25711352123873
BaseRepresentation
bin1001001010011010001…
…11100001000111100000
31010002121210110122122021
410211031013201013200
520124231031211041
6400343530551224
731513456330510
oct4451507410740
91102553418567
10314826428896
11111576347821
1251022898514
13238c3715065
14113482a3840
1582c9139cd1
hex494d1e11e0

314826428896 has 96 divisors (see below), whose sum is σ = 716029771968. Its totient is φ = 133469306880.

The previous prime is 314826428827. The next prime is 314826429037. The reversal of 314826428896 is 698824628413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13175616 + ... + 13199488.

It is an arithmetic number, because the mean of its divisors is an integer number (7458643458).

Almost surely, 2314826428896 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 314826428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358014885984).

314826428896 is an abundant number, since it is smaller than the sum of its proper divisors (401203343072).

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

314826428896 is a wasteful number, since it uses less digits than its factorization.

314826428896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24524 (or 24516 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 61.

The spelling of 314826428896 in words is "three hundred fourteen billion, eight hundred twenty-six million, four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 521 791 904 1042 1582 1808 2084 3164 3616 3647 4168 6328 7294 8336 12656 14588 16672 23873 25312 29176 47746 58352 58873 95492 116704 117746 167111 190984 235492 334222 381968 412111 470984 668444 763936 824222 941968 1336888 1648444 1883936 2673776 2697649 3296888 5347552 5395298 6593776 10790596 12437833 13187552 18883543 21581192 24875666 37767086 43162384 49751332 75534172 86324768 87064831 99502664 151068344 174129662 199005328 302136688 348259324 398010656 604273376 696518648 1393037296 1405475129 2786074592 2810950258 5621900516 9838325903 11243801032 19676651806 22487602064 39353303612 44975204128 78706607224 157413214448 314826428896