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242501422560 = 25354391150823
BaseRepresentation
bin1110000111011000110…
…1100000110111100000
3212011221100012122122220
43201312031200313200
512433120331010220
6303223103031040
723343261036645
oct3416615406740
9764840178586
10242501422560
1193931805011
123abb929b480
1319b386ab517
14ba4698ddcc
156494868540
hex3876360de0

242501422560 has 96 divisors (see below), whose sum is σ = 765620190720. Its totient is φ = 64519684608.

The previous prime is 242501422549. The next prime is 242501422591. The reversal of 242501422560 is 65224105242.

It is a tau number, because it is divible by the number of its divisors (96).

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, 364692 + ... + 786131.

It is an arithmetic number, because the mean of its divisors is an integer number (7975210320).

Almost surely, 2242501422560 is an apocalyptic number.

242501422560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242501422560 is an abundant number, since it is smaller than the sum of its proper divisors (523118768160).

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

242501422560 is a wasteful number, since it uses less digits than its factorization.

242501422560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151280 (or 1151272 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 242501422560 in words is "two hundred forty-two billion, five hundred one million, four hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 439 480 878 1317 1756 2195 2634 3512 4390 5268 6585 7024 8780 10536 13170 14048 17560 21072 26340 35120 42144 52680 70240 105360 210720 1150823 2301646 3452469 4603292 5754115 6904938 9206584 11508230 13809876 17262345 18413168 23016460 27619752 34524690 36826336 46032920 55239504 69049380 92065840 110479008 138098760 184131680 276197520 505211297 552395040 1010422594 1515633891 2020845188 2526056485 3031267782 4041690376 5052112970 6062535564 7578169455 8083380752 10104225940 12125071128 15156338910 16166761504 20208451880 24250142256 30312677820 40416903760 48500284512 60625355640 80833807520 121250711280 242501422560