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10314297481744 = 24532151492
BaseRepresentation
bin1001011000010111110000…
…0010011001101000010000
31100112001000010101121101101
42112011330002121220100
52322442140123403434
633534153422514144
72113116623016124
oct226057402315020
940461003347341
1010314297481744
1133172a6042a33
1211a6b91435954
1359a8320c17a9
14279301063584
1512d4728e7b14
hex9617c099a10

10314297481744 has 45 divisors (see below), whose sum is σ = 20369465923303. Its totient is φ = 5059510042496.

The previous prime is 10314297481729. The next prime is 10314297481793. The reversal of 10314297481744 is 44718479241301.

The square root of 10314297481744 is 3211588.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1851504490000 + 8462792991744 = 1360700^2 + 2909088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 680849082 + ... + 680864230.

Almost surely, 210314297481744 is an apocalyptic number.

10314297481744 is the 3211588-th square number.

It is an amenable number.

10314297481744 is a deficient number, since it is larger than the sum of its proper divisors (10055168441559).

10314297481744 is an frugal number, since it uses more digits than its factorization.

10314297481744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30412 (or 15204 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 10314297481744 in words is "ten trillion, three hundred fourteen billion, two hundred ninety-seven million, four hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 53 106 212 424 848 2809 5618 11236 15149 22472 30298 44944 60596 121192 242384 802897 1605794 3211588 6423176 12846352 42553541 85107082 170214164 229492201 340428328 458984402 680856656 917968804 1835937608 3671875216 12163086653 24326173306 48652346612 97304693224 194609386448 644643592609 1289287185218 2578574370436 5157148740872 10314297481744