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117221740944 = 243711109290971
BaseRepresentation
bin110110100101011110…
…1011101000110010000
3102012120101101102112220
41231022331131012100
53410032231202234
6125503444421040
711316602233530
oct1551275350620
9365511342486
10117221740944
1145793686a60
121a8753a7780
13b09172cab9
1459603814c0
1530b1112a49
hex1b4af5d190

117221740944 has 160 divisors (see below), whose sum is σ = 381010375680. Its totient is φ = 30167769600.

The previous prime is 117221740943. The next prime is 117221740949. The reversal of 117221740944 is 449047122711.

It is a super-2 number, since 2×1172217409442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 117221740896 and 117221740905.

It is not an unprimeable number, because it can be changed into a prime (117221740943) 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 31 ways as a sum of consecutive naturals, for example, 257379 + ... + 548349.

It is an arithmetic number, because the mean of its divisors is an integer number (2381314848).

Almost surely, 2117221740944 is an apocalyptic number.

117221740944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117221740944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190505187840).

117221740944 is an abundant number, since it is smaller than the sum of its proper divisors (263788634736).

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

117221740944 is a wasteful number, since it uses less digits than its factorization.

117221740944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291109 (or 291103 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 117221740944 in words is "one hundred seventeen billion, two hundred twenty-one million, seven hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 109 112 132 154 168 176 218 231 264 308 327 336 436 462 528 616 654 763 872 924 1199 1232 1308 1526 1744 1848 2289 2398 2616 3052 3597 3696 4578 4796 5232 6104 7194 8393 9156 9592 12208 14388 16786 18312 19184 25179 28776 33572 36624 50358 57552 67144 100716 134288 201432 290971 402864 581942 872913 1163884 1745826 2036797 2327768 3200681 3491652 4073594 4655536 6110391 6401362 6983304 8147188 9602043 12220782 12802724 13966608 16294376 19204086 22404767 24441564 25605448 31715839 32588752 38408172 44809534 48883128 51210896 63431678 67214301 76816344 89619068 95147517 97766256 126863356 134428602 153632688 179238136 190295034 222010873 253726712 268857204 348874229 358476272 380590068 444021746 507453424 537714408 666032619 697748458 761180136 888043492 1046622687 1075428816 1332065238 1395496916 1522360272 1776086984 2093245374 2442119603 2664130476 2790993832 3552173968 4186490748 4884239206 5328260952 5581987664 7326358809 8372981496 9768478412 10656521904 14652717618 16745962992 19536956824 29305435236 39073913648 58610870472 117221740944