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42341102136 = 2334172137967
BaseRepresentation
bin100111011011101110…
…011111001000111000
311001021211020211220000
4213123232133020320
51143203310232021
631241244433000
73026152300314
oct473356371070
9131254224800
1042341102136
1116a584a27a3
128257b48760
133cba0b8ab8
142099498b44
15117c2c6b26
hex9dbb9f238

42341102136 has 80 divisors (see below), whose sum is σ = 118666326240. Its totient is φ = 14105128320.

The previous prime is 42341102131. The next prime is 42341102149. The reversal of 42341102136 is 63120114324.

It is a happy number.

42341102136 is a `hidden beast` number, since 423 + 4 + 1 + 102 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42341102131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1096225 + ... + 1134191.

It is an arithmetic number, because the mean of its divisors is an integer number (1483329078).

Almost surely, 242341102136 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 42341102136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59333163120).

42341102136 is an abundant number, since it is smaller than the sum of its proper divisors (76325224104).

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

42341102136 is a wasteful number, since it uses less digits than its factorization.

42341102136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39706 (or 39693 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 42341102136 in words is "forty-two billion, three hundred forty-one million, one hundred two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1721 3442 5163 6884 10326 13768 15489 20652 30978 37967 41304 46467 61956 75934 92934 113901 123912 139401 151868 185868 227802 278802 303736 341703 371736 455604 557604 683406 911208 1025109 1115208 1366812 2050218 2733624 3075327 4100436 6150654 8200872 12301308 24602616 65341207 130682414 196023621 261364828 392047242 522729656 588070863 784094484 1176141726 1568188968 1764212589 2352283452 3528425178 4704566904 5292637767 7056850356 10585275534 14113700712 21170551068 42341102136