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240113312341540 = 225118989833136511
BaseRepresentation
bin110110100110000110111100…
…101100000001111000100100
31011111011121102120201102122021
4312212012330230001320210
5222433004030424412130
62210402311034312524
7101401420501365241
oct6646067454017044
91144147376642567
10240113312341540
116a564536091780
1222b1b69a588744
13a3c9785367141
1443417911925c8
151cb5d71a9337a
hexda61bcb01e24

240113312341540 has 96 divisors (see below), whose sum is σ = 556268686202880. Its totient is φ = 86331282892800.

The previous prime is 240113312341531. The next prime is 240113312341549. The reversal of 240113312341540 is 45143213311042.

It is an interprime number because it is at equal distance from previous prime (240113312341531) and next prime (240113312341549).

It is a junction number, because it is equal to n+sod(n) for n = 240113312341496 and 240113312341505.

It is not an unprimeable number, because it can be changed into a prime (240113312341549) 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, 1758861885 + ... + 1758998395.

It is an arithmetic number, because the mean of its divisors is an integer number (5794465481280).

Almost surely, 2240113312341540 is an apocalyptic number.

240113312341540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240113312341540 is an abundant number, since it is smaller than the sum of its proper divisors (316155373861340).

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

240113312341540 is a wasteful number, since it uses less digits than its factorization.

240113312341540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226453 (or 226451 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 240113312341540 its reverse (45143213311042), we get a palindrome (285256525652582).

The spelling of 240113312341540 in words is "two hundred forty trillion, one hundred thirteen billion, three hundred twelve million, three hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 89833 136511 179666 273022 359332 449165 546044 682555 898330 988163 1365110 1501621 1796660 1976326 2730220 3003242 3952652 4940815 6006484 7508105 7995137 9881630 12149479 15016210 15990274 19763260 24298958 30032420 31980548 39975685 48597916 60747395 79951370 87946507 121494790 133644269 159902740 175893014 242989580 267288538 351786028 439732535 534577076 668221345 879465070 1336442690 1758930140 2672885380 12263192663 24526385326 49052770652 61315963315 122631926630 134895119293 245263853260 269790238586 539580477172 674475596465 1091424147007 1348951192930 2182848294014 2697902385860 4365696588028 5457120735035 10914241470070 12005665617077 21828482940140 24011331234154 48022662468308 60028328085385 120056656170770 240113312341540