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120731231296 = 261342572
BaseRepresentation
bin111000001110000100…
…1000110010001000000
3102112121222010000021001
41300130021012101000
53434224143400141
6131244013141344
711502555351034
oct1603411062100
9375558100231
10120731231296
11472246a6005
121b49478a854
13b500840000
145bb44d01c4
153219296a31
hex1c1c246440

120731231296 has 105 divisors (see below), whose sum is σ = 260553820649. Its totient is φ = 55505289216.

The previous prime is 120731231263. The next prime is 120731231317. The reversal of 120731231296 is 692132137021.

The square root of 120731231296 is 347464.

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

It can be written as a sum of positive squares in 7 ways, for example, as 74791310400 + 45939920896 = 273480^2 + 214336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 469771200 + ... + 469771456.

Almost surely, 2120731231296 is an apocalyptic number.

120731231296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120731231296 is the 347464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120731231296

120731231296 is an abundant number, since it is smaller than the sum of its proper divisors (139822589353).

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

120731231296 is an frugal number, since it uses more digits than its factorization.

120731231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 120731231296 in words is "one hundred twenty billion, seven hundred thirty-one million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 257 338 416 514 676 832 1028 1352 2056 2197 2704 3341 4112 4394 5408 6682 8224 8788 10816 13364 16448 17576 26728 28561 35152 43433 53456 57122 66049 70304 86866 106912 114244 132098 140608 173732 213824 228488 264196 347464 456976 528392 564629 694928 858637 913952 1056784 1129258 1389856 1717274 1827904 2113568 2258516 2779712 3434548 4227136 4517032 6869096 7340177 9034064 11162281 13738192 14680354 18068128 22324562 27476384 29360708 36136256 44649124 54952768 58721416 89298248 117442832 145109653 178596496 234885664 290219306 357192992 469771328 580438612 714385984 1160877224 1886425489 2321754448 3772850978 4643508896 7545701956 9287017792 15091403912 30182807824 60365615648 120731231296