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42111055422 = 232191096611709
BaseRepresentation
bin100111001110000000…
…111011011000111110
311000200210101021010100
4213032000323120332
51142220412233142
631202350021530
73020360031222
oct471600733076
9130623337110
1042111055422
111694a658247
1281b2aa78a6
133c81541497
142076ad4782
151166ed4b4c
hex9ce03b63e

42111055422 has 96 divisors (see below), whose sum is σ = 97127316000. Its totient is φ = 13148593920.

The previous prime is 42111055397. The next prime is 42111055423. The reversal of 42111055422 is 22455011124.

It is a happy number.

42111055422 is a `hidden beast` number, since 4 + 2 + 1 + 110 + 5 + 542 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42111055423) 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 47 ways as a sum of consecutive naturals, for example, 24639904 + ... + 24641612.

It is an arithmetic number, because the mean of its divisors is an integer number (1011742875).

Almost surely, 242111055422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42111055422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48563658000).

42111055422 is an abundant number, since it is smaller than the sum of its proper divisors (55016260578).

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

42111055422 is a wasteful number, since it uses less digits than its factorization.

42111055422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 42111055422 its reverse (22455011124), we get a palindrome (64566066546).

The spelling of 42111055422 in words is "forty-two billion, one hundred eleven million, fifty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 661 981 1322 1709 1962 1983 2071 3418 3966 4142 5127 5949 6213 10254 11898 12426 12559 15381 18639 25118 30762 32471 37278 37677 64942 72049 75354 97413 113031 144098 186281 194826 216147 226062 292239 372562 432294 558843 584478 648441 1117686 1129649 1296882 1368931 1676529 2259298 2737862 3353058 3388947 3539339 4106793 6777894 7078678 8213586 10166841 10618017 12320379 20333682 21236034 21463331 24640758 31854051 42926662 63708102 64389993 123131741 128779986 193169979 246263482 369395223 386339958 738790446 1108185669 2216371338 2339503079 4679006158 7018509237 14037018474 21055527711 42111055422