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242899210944 = 26331310812821
BaseRepresentation
bin1110001000110111101…
…0111101001011000000
3212012222001201101202000
43202031322331023000
512434424144222234
6303330353024000
723356161140565
oct3421572751300
9765861641660
10242899210944
11940162aa345
123b0aa555000
1319b9cc27270
14ba8373a86c
1564b9741899
hex388debd2c0

242899210944 has 112 divisors (see below), whose sum is σ = 769007900640. Its totient is φ = 74738211840.

The previous prime is 242899210921. The next prime is 242899210949. The reversal of 242899210944 is 449012998242.

It is a happy number.

242899210944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2428992109442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (242899210949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5383947 + ... + 5428874.

It is an arithmetic number, because the mean of its divisors is an integer number (6866141970).

Almost surely, 2242899210944 is an apocalyptic number.

242899210944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242899210944 is an abundant number, since it is smaller than the sum of its proper divisors (526108689696).

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

242899210944 is a wasteful number, since it uses less digits than its factorization.

242899210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10812855 (or 10812839 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 242899210944 in words is "two hundred forty-two billion, eight hundred ninety-nine million, two hundred ten thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 22464 10812821 21625642 32438463 43251284 64876926 86502568 97315389 129753852 140566673 173005136 194630778 259507704 281133346 291946167 346010272 389261556 421700019 519015408 562266692 583892334 692020544 778523112 843400038 1038030816 1124533384 1167784668 1265100057 1557046224 1686800076 2076061632 2249066768 2335569336 2530200114 3114092448 3373600152 3795300171 4498133536 4671138672 5060400228 6228184896 6747200304 7590600342 8996267072 9342277344 10120800456 13494400608 15181200684 18684554688 20241600912 26988801216 30362401368 40483201824 60724802736 80966403648 121449605472 242899210944