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242453324505204 = 223317971361393687
BaseRepresentation
bin110111001000001010010000…
…010010000010000001110100
31011210110022102001102211021000
4313020022100102002001310
5223234323402033131304
62215353304124123300
7102032450254530231
oct6710122022020164
91153408361384230
10242453324505204
1170286971a3560a
12232390b3996530
13a53933417aca7
1443c2b36bda788
151d06b79d1a939
hexdc8290482074

242453324505204 has 96 divisors (see below), whose sum is σ = 672419570376960. Its totient is φ = 75279625261056.

The previous prime is 242453324505191. The next prime is 242453324505229. The reversal of 242453324505204 is 402505423354242.

242453324505204 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 53 + 3 + 24 + 50 + 520 + 4 = 666.

It is a super-2 number, since 2×2424533245052042 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242453324505204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 680518752 + ... + 680874935.

It is an arithmetic number, because the mean of its divisors is an integer number (7004370524760).

Almost surely, 2242453324505204 is an apocalyptic number.

It is an amenable number.

242453324505204 is an abundant number, since it is smaller than the sum of its proper divisors (429966245871756).

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

242453324505204 is a wasteful number, since it uses less digits than its factorization.

242453324505204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361393814 (or 1361393806 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

Adding to 242453324505204 its reverse (402505423354242), we get a palindrome (644958747859446).

The spelling of 242453324505204 in words is "two hundred forty-two trillion, four hundred fifty-three billion, three hundred twenty-four million, five hundred five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 97 102 108 153 194 204 291 306 388 459 582 612 873 918 1164 1649 1746 1836 2619 3298 3492 4947 5238 6596 9894 10476 14841 19788 29682 44523 59364 89046 178092 1361393687 2722787374 4084181061 5445574748 8168362122 12252543183 16336724244 23143692679 24505086366 36757629549 46287385358 49010172732 69431078037 73515259098 92574770716 132055187639 138862156074 147030518196 208293234111 264110375278 277724312148 396165562917 416586468222 528220750556 624879702333 792331125834 833172936444 1188496688751 1249759404666 1584662251668 2244938189863 2376993377502 2499518809332 3565490066253 4489876379726 4753986755004 6734814569589 7130980132506 8979752759452 13469629139178 14261960265012 20204443708767 26939258278356 40408887417534 60613331126301 80817774835068 121226662252602 242453324505204