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242218618616430 = 23254409610414603
BaseRepresentation
bin110111000100101111101010…
…101110000111101001101110
31011202121212120222220022120200
4313010233222232013221232
5223222002212331211210
62215053410334254330
7102006501112432101
oct6704575256075156
91152555528808520
10242218618616430
11701a6380645505
12231bb7113573a6
13a52016b853771
1443b562d6cc738
151d009dea600c0
hexdc4beab87a6e

242218618616430 has 48 divisors (see below), whose sum is σ = 629911246451760. Its totient is φ = 64576981574784.

The previous prime is 242218618616413. The next prime is 242218618616467. The reversal of 242218618616430 is 34616816812242.

242218618616430 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 1 + 8 + 6 + 18 + 616 + 4 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304810492 + ... + 305604111.

It is an arithmetic number, because the mean of its divisors is an integer number (13123150967745).

Almost surely, 2242218618616430 is an apocalyptic number.

242218618616430 is an abundant number, since it is smaller than the sum of its proper divisors (387692627835330).

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

242218618616430 is a wasteful number, since it uses less digits than its factorization.

242218618616430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610419025 (or 610419022 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 242218618616430 in words is "two hundred forty-two trillion, two hundred eighteen billion, six hundred eighteen million, six hundred sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4409 8818 13227 22045 26454 39681 44090 66135 79362 132270 198405 396810 610414603 1220829206 1831243809 3052073015 3662487618 5493731427 6104146030 9156219045 10987462854 18312438090 27468657135 54937314270 2691317984627 5382635969254 8073953953881 13456589923135 16147907907762 24221861861643 26913179846270 40369769769405 48443723723286 80739539538810 121109309308215 242218618616430