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242420039862 = 237111343991943
BaseRepresentation
bin1110000111000101011…
…1000100000010110110
3212011201200001222120220
43201301113010002312
512432434012233422
6303211034435210
723341252224420
oct3416127040266
9764650058526
10242420039862
119389a879a90
123ab95b92b06
1319b24885990
14ba39c47810
15648c63ee5c
hex38715c40b6

242420039862 has 128 divisors (see below), whose sum is σ = 652464046080. Its totient is φ = 57989658240.

The previous prime is 242420039861. The next prime is 242420039891. The reversal of 242420039862 is 268930024242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242420039861) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2590663 + ... + 2682605.

It is an arithmetic number, because the mean of its divisors is an integer number (5097375360).

Almost surely, 2242420039862 is an apocalyptic number.

242420039862 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242420039862, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326232023040).

242420039862 is an abundant number, since it is smaller than the sum of its proper divisors (410044006218).

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

242420039862 is a wasteful number, since it uses less digits than its factorization.

242420039862 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92418.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 242420039862 in words is "two hundred forty-two billion, four hundred twenty million, thirty-nine thousand, eight hundred sixty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 439 462 546 858 878 1001 1317 2002 2634 3003 3073 4829 5707 6006 6146 9219 9658 11414 14487 17121 18438 28974 33803 34242 39949 62777 67606 79898 91943 101409 119847 125554 183886 188331 202818 239694 275829 376662 439439 551658 643601 878878 1011373 1195259 1287202 1318317 1930803 2022746 2390518 2636634 3034119 3585777 3861606 6068238 7079611 7171554 8366813 13147849 14159222 16733626 21238833 25100439 26295698 39443547 40362977 42477666 50200878 78887094 80725954 92034943 121088931 184069886 242177862 276104829 282540839 443992747 524718701 552209658 565081678 847622517 887985494 1049437402 1331978241 1574156103 1695245034 2663956482 3107949229 3148312206 3673030907 5771905711 6215898458 7346061814 9323847687 11019092721 11543811422 17315717133 18647695374 22038185442 34631434266 40403339977 80806679954 121210019931 242420039862