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42301422396 = 223310918119853
BaseRepresentation
bin100111011001010111…
…000111101100111100
311001012001120220112000
4213121113013230330
51143113131004041
631233310142300
73025161105042
oct473127075474
9131161526460
1042301422396
1116a38060822
1282467b1990
133cb1b04c6c
1420940ca392
151178a89bb6
hex9d95c7b3c

42301422396 has 96 divisors (see below), whose sum is σ = 111293582400. Its totient is φ = 13893223680.

The previous prime is 42301422389. The next prime is 42301422421. The reversal of 42301422396 is 69322410324.

42301422396 is a `hidden beast` number, since 4 + 230 + 14 + 22 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42301422396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2120806 + ... + 2140658.

It is an arithmetic number, because the mean of its divisors is an integer number (1159308150).

Almost surely, 242301422396 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 42301422396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55646791200).

42301422396 is an abundant number, since it is smaller than the sum of its proper divisors (68992160004).

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

42301422396 is a wasteful number, since it uses less digits than its factorization.

42301422396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20156 (or 20148 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 42301422396 in words is "forty-two billion, three hundred one million, four hundred twenty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 181 218 327 362 436 543 654 724 981 1086 1308 1629 1962 2172 2943 3258 3924 4887 5886 6516 9774 11772 19548 19729 19853 39458 39706 59187 59559 78916 79412 118374 119118 177561 178677 236748 238236 355122 357354 532683 536031 710244 714708 1065366 1072062 2130732 2144124 2163977 3593393 4327954 6491931 7186786 8655908 10780179 12983862 14373572 19475793 21560358 25967724 32340537 38951586 43120716 58427379 64681074 77903172 97021611 116854758 129362148 194043222 233709516 388086444 391679837 783359674 1175039511 1566719348 2350079022 3525118533 4700158044 7050237066 10575355599 14100474132 21150711198 42301422396