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242501242315545 = 325521647224709
BaseRepresentation
bin110111001000110110111000…
…011001111110001100011001
31011210121220002112020210122100
4313020312320121332030121
5223241120021013044140
62215431311025114013
7102036064564305213
oct6710667031761431
91153556075223570
10242501242315545
11702a5221324764
1223246447488909
13a5409cc727715
1443c51a0b995b3
151d080319b5530
hexdc8db867e319

242501242315545 has 72 divisors (see below), whose sum is σ = 421811264576520. Its totient is φ = 128881023598080.

The previous prime is 242501242315511. The next prime is 242501242315571. The reversal of 242501242315545 is 545513242105242.

242501242315545 is a `hidden beast` number, since 2 + 4 + 2 + 50 + 1 + 2 + 42 + 3 + 1 + 554 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21268846817856 + 221232395497689 = 4611816^2 + 14873883^2 .

It is not a de Polignac number, because 242501242315545 - 211 = 242501242313497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 242501242315545.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9814275651 + ... + 9814300359.

It is an arithmetic number, because the mean of its divisors is an integer number (5858489785785).

Almost surely, 2242501242315545 is an apocalyptic number.

It is an amenable number.

242501242315545 is a deficient number, since it is larger than the sum of its proper divisors (179310022260975).

242501242315545 is an equidigital number, since it uses as much as digits as its factorization.

242501242315545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26535 (or 25885 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 242501242315545 in words is "two hundred forty-two trillion, five hundred one billion, two hundred forty-two million, three hundred fifteen thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 521 647 1563 1941 2605 3235 4689 5823 7815 9705 23445 24709 29115 74127 123545 222381 337087 370635 418609 1011261 1111905 1255827 1685435 2093045 3033783 3767481 5056305 6279135 12873389 15168915 15986723 18837405 38620167 47960169 64366945 79933615 115860501 143880507 193100835 218095289 239800845 579302505 654285867 719402535 1090476445 1962857601 3271429335 8329082683 9814288005 10343409781 24987248049 31030229343 41645413415 51717048905 74961744147 93090688029 124936240245 155151146715 374808720735 465453440145 5388916495901 16166749487703 26944582479505 48500248463109 80833747438515 242501242315545