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242877238044 = 22379756952387
BaseRepresentation
bin1110001000110010011…
…1001000101100011100
3212012220112101001120220
43202030213020230130
512434403033104134
6303324250041340
723355503313630
oct3421447105434
9765815331526
10242877238044
1194004961821
123b0a3119250
1319b98502b4c
14ba8085adc0
1564b7851149
hex388c9c8b1c

242877238044 has 96 divisors (see below), whose sum is σ = 655512184320. Its totient is φ = 68556091392.

The previous prime is 242877238033. The next prime is 242877238067. The reversal of 242877238044 is 440832778242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4610019 + ... + 4662405.

It is an arithmetic number, because the mean of its divisors is an integer number (6828251920).

Almost surely, 2242877238044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242877238044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327756092160).

242877238044 is an abundant number, since it is smaller than the sum of its proper divisors (412634946276).

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

242877238044 is a wasteful number, since it uses less digits than its factorization.

242877238044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53067 (or 53065 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 51.

The spelling of 242877238044 in words is "two hundred forty-two billion, eight hundred seventy-seven million, two hundred thirty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 569 582 679 1138 1164 1358 1707 2037 2276 2716 3414 3983 4074 6828 7966 8148 11949 15932 23898 47796 52387 55193 104774 110386 157161 165579 209548 220772 314322 331158 366709 386351 628644 662316 733418 772702 1100127 1159053 1466836 1545404 2200254 2318106 4400508 4636212 5081539 10163078 15244617 20326156 29808203 30489234 35570773 59616406 60978468 71141546 89424609 106712319 119232812 142283092 178849218 208657421 213424638 357698436 417314842 426849276 625972263 834629684 1251944526 2503889052 2891395691 5782791382 8674187073 11565582764 17348374146 20239769837 34696748292 40479539674 60719309511 80959079348 121438619022 242877238044