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1242904045992 = 233747193181517
BaseRepresentation
bin10010000101100010110…
…110101010100110101000
311101211011010020110122220
4102011202312222212220
5130330431413432432
62350552055114040
7155540215035150
oct22054266524650
94354133213586
101242904045992
1143a126a27944
12180a72072920
13902891c677b
144422a681760
15224e661072c
hex12162daa9a8

1242904045992 has 128 divisors (see below), whose sum is σ = 3628633559040. Its totient is φ = 347375543040.

The previous prime is 1242904045973. The next prime is 1242904045997. The reversal of 1242904045992 is 2995404092421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1242904045997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15206418 + ... + 15287934.

It is an arithmetic number, because the mean of its divisors is an integer number (28348699680).

Almost surely, 21242904045992 is an apocalyptic number.

1242904045992 is a gapful number since it is divisible by the number (12) 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 1242904045992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814316779520).

1242904045992 is an abundant number, since it is smaller than the sum of its proper divisors (2385729513048).

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

1242904045992 is a wasteful number, since it uses less digits than its factorization.

1242904045992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83511 (or 83507 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 1242904045992 in words is "one trillion, two hundred forty-two billion, nine hundred four million, forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1931 1974 2632 3862 3948 5793 7724 7896 11586 13517 15448 23172 27034 40551 46344 54068 81102 81517 90757 108136 162204 163034 181514 244551 272271 324408 326068 363028 489102 544542 570619 635299 652136 726056 978204 1089084 1141238 1270598 1711857 1905897 1956408 2178168 2282476 2541196 3423714 3811794 3831299 4564952 5082392 6847428 7623588 7662598 11493897 13694856 15247176 15325196 22987794 26819093 30650392 45975588 53638186 80457279 91951176 107276372 157409327 160914558 214552744 314818654 321829116 472227981 629637308 643658232 944455962 1101865289 1259274616 1888911924 2203730578 3305595867 3777823848 4407461156 6611191734 7398238369 8814922312 13222383468 14796476738 22194715107 26444766936 29592953476 44389430214 51787668583 59185906952 88778860428 103575337166 155363005749 177557720856 207150674332 310726011498 414301348664 621452022996 1242904045992