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120307427296 = 2571755735669
BaseRepresentation
bin111000000001011100…
…0011010011111100000
3102111112102122112110121
41300002320122133200
53432342200133141
6131133553410024
711456221154620
oct1600270323740
9374472575417
10120307427296
1147027451871
121b396869914
13b463ab5a04
145b740d0880
1531e1e801d1
hex1c02e1a7e0

120307427296 has 96 divisors (see below), whose sum is σ = 286716749760. Its totient is φ = 48510099456.

The previous prime is 120307427287. The next prime is 120307427309. The reversal of 120307427296 is 692724703021.

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, 21219150 + ... + 21224818.

It is an arithmetic number, because the mean of its divisors is an integer number (2986632810).

Almost surely, 2120307427296 is an apocalyptic number.

120307427296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120307427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143358374880).

120307427296 is an abundant number, since it is smaller than the sum of its proper divisors (166409322464).

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

120307427296 is a wasteful number, since it uses less digits than its factorization.

120307427296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11276 (or 11268 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 120307427296 in words is "one hundred twenty billion, three hundred seven million, four hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 5573 5669 11146 11338 22292 22676 39011 39683 44584 45352 78022 79366 89168 90704 94741 96373 156044 158732 178336 181408 189482 192746 312088 317464 378964 385492 624176 634928 663187 674611 757928 770984 1248352 1269856 1326374 1349222 1515856 1541968 2652748 2698444 3031712 3083936 5305496 5396888 10610992 10793776 21221984 21587552 31593337 63186674 126373348 221153359 252746696 442306718 505493392 537086729 884613436 1010986784 1074173458 1769226872 2148346916 3538453744 3759607103 4296693832 7076907488 7519214206 8593387664 15038428412 17186775328 30076856824 60153713648 120307427296