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241254252322440 = 23357287207443241
BaseRepresentation
bin110110110110101101100010…
…000000101001111010001000
31011122012200101122120201020220
4312312231202000221322020
5223110202202043304230
62213034401245550040
7101550021163250550
oct6666554200517210
91148180348521226
10241254252322440
116a964398a50325
1223084834b75320
13a480241b79286
144380aa79d0160
151cd589b803d10
hexdb6b62029e88

241254252322440 has 64 divisors (see below), whose sum is σ = 827157436536960. Its totient is φ = 55143829102080.

The previous prime is 241254252322399. The next prime is 241254252322463. The reversal of 241254252322440 is 44223252452142.

It is a super-2 number, since 2×2412542523224402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 241254252322392 and 241254252322401.

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, 143603720781 + ... + 143603722460.

It is an arithmetic number, because the mean of its divisors is an integer number (12924334945890).

Almost surely, 2241254252322440 is an apocalyptic number.

241254252322440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241254252322440 is an abundant number, since it is smaller than the sum of its proper divisors (585903184214520).

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

241254252322440 is a wasteful number, since it uses less digits than its factorization.

241254252322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287207443262 (or 287207443258 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

The spelling of 241254252322440 in words is "two hundred forty-one trillion, two hundred fifty-four billion, two hundred fifty-two million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 287207443241 574414886482 861622329723 1148829772964 1436037216205 1723244659446 2010452102687 2297659545928 2872074432410 3446489318892 4020904205374 4308111648615 5744148864820 6031356308061 6892978637784 8041808410748 8616223297230 10052260513435 11488297729640 12062712616122 16083616821496 17232446594460 20104521026870 24125425232244 30156781540305 34464893188920 40209042053740 48250850464488 60313563080610 80418084107480 120627126161220 241254252322440