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123740083317904 = 2453213723832
BaseRepresentation
bin11100001000101001111011…
…101101011110110010010000
3121020010102210011101020022021
4130020221323231132302100
5112204324142312133104
61115101224242221224
735030632421641024
oct3410517355366220
9536112704336267
10123740083317904
1136477969154599
1211a657a7654814
1354078417cb6a1
14227b0a2926384
15e48b6bde5754
hex708a7bb5ec90

123740083317904 has 135 divisors (see below), whose sum is σ = 246796284603883. Its totient is φ = 60102261346816.

The previous prime is 123740083317889. The next prime is 123740083317923. The reversal of 123740083317904 is 409713380047321.

The square root of 123740083317904 is 11123852.

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 11998270677904 + 111741812640000 = 3463852^2 + 10570800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 323081157297 + ... + 323081157679.

Almost surely, 2123740083317904 is an apocalyptic number.

123740083317904 is the 11123852-nd square number.

It is an amenable number.

123740083317904 is a deficient number, since it is larger than the sum of its proper divisors (123056201285979).

123740083317904 is an frugal number, since it uses more digits than its factorization.

123740083317904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 123740083317904 in words is "one hundred twenty-three trillion, seven hundred forty billion, eighty-three million, three hundred seventeen thousand, nine hundred four".

Divisors: 1 2 4 8 16 53 106 137 212 274 383 424 548 766 848 1096 1532 2192 2809 3064 5618 6128 7261 11236 14522 18769 20299 22472 29044 37538 40598 44944 52471 58088 75076 81196 104942 116176 146689 150152 162392 209884 293378 300304 324784 384833 419768 586756 769666 839536 994757 1075847 1173512 1539332 1989514 2151694 2347024 2780963 3078664 3979028 4303388 5561926 6157328 7188527 7774517 7958056 8606776 11123852 14377054 15549034 15916112 17213552 20096393 22247704 28754108 31098068 40192786 44495408 52722121 57508216 62196136 80385572 105444242 115016432 124392272 147391039 160771144 210888484 294782078 321542288 380991931 412049401 421776968 589564156 761983862 824098802 843553936 1065108829 1179128312 1523967724 1648197604 2130217658 2358256624 2753205841 3047935448 3296395208 4260435316 5506411682 6095870896 6592790416 8520870632 11012823364 17041741264 20192572343 22025646728 40385144686 44051293456 56450767937 80770289372 112901535874 145919909573 161540578744 225803071748 291839819146 323081157488 451606143496 583679638292 903212286992 1167359276584 2334718553168 7733755207369 15467510414738 30935020829476 61870041658952 123740083317904