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13997729344 = 262326432
BaseRepresentation
bin11010000100101010…
…00110011001000000
31100010112012022211011
431002111012121000
5212131404314334
610232551530304
71003606510354
oct150225063100
940115168734
1013997729344
115a33398265
122867989994
131420cc54b1
1496b085464
1556dd35564
hex342546640

13997729344 has 63 divisors (see below), whose sum is σ = 29082165483. Its totient is φ = 6684154752.

The previous prime is 13997729329. The next prime is 13997729357. The reversal of 13997729344 is 44392779931.

The square root of 13997729344 is 118312.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21769087 + ... + 21769729.

Almost surely, 213997729344 is an apocalyptic number.

13997729344 is the 118312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13997729344

13997729344 is an abundant number, since it is smaller than the sum of its proper divisors (15084436139).

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

13997729344 is an frugal number, since it uses more digits than its factorization.

13997729344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 668 counting only the distinct ones).

The product of its digits is 10287648, while the sum is 58.

The spelling of 13997729344 in words is "thirteen billion, nine hundred ninety-seven million, seven hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 643 736 1058 1286 1472 2116 2572 4232 5144 8464 10288 14789 16928 20576 29578 33856 41152 59156 118312 236624 340147 413449 473248 680294 826898 946496 1360588 1653796 2721176 3307592 5442352 6615184 9509327 10884704 13230368 19018654 21769408 26460736 38037308 76074616 152149232 218714521 304298464 437429042 608596928 874858084 1749716168 3499432336 6998864672 13997729344