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42411542346 = 232236110691571
BaseRepresentation
bin100111011111111011…
…001100011101001010
311001110201210120200200
4213133323030131022
51143324323323341
631252242313030
73030666106335
oct473773143512
9131421716620
1042411542346
1116a94234548
128277658776
133ccb87cab4
1420a499361c
15118358cdb6
hex9dfecc74a

42411542346 has 96 divisors (see below), whose sum is σ = 97612145280. Its totient is φ = 13279939200.

The previous prime is 42411542321. The next prime is 42411542413. The reversal of 42411542346 is 64324511424.

42411542346 is a `hidden beast` number, since 4 + 2 + 411 + 5 + 4 + 234 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42411542346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26995741 + ... + 26997311.

It is an arithmetic number, because the mean of its divisors is an integer number (1016793180).

Almost surely, 242411542346 is an apocalyptic number.

42411542346 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42411542346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48806072640).

42411542346 is an abundant number, since it is smaller than the sum of its proper divisors (55200602934).

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

42411542346 is a wasteful number, since it uses less digits than its factorization.

42411542346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2729 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 42411542346 in words is "forty-two billion, four hundred eleven million, five hundred forty-two thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1069 1098 1403 1571 2138 2806 3142 3207 4209 4713 6414 8418 9426 9621 12627 14139 19242 24587 25254 28278 36133 49174 65209 72266 73761 95831 108399 130418 147522 191662 195627 216798 221283 287493 325197 391254 442566 574986 586881 650394 862479 1173762 1499807 1679399 1724958 2204113 2999614 3358798 4408226 4499421 5038197 6612339 8998842 10076394 13224678 13498263 15114591 19837017 26996526 30229182 38626177 39674034 77252354 102443339 115878531 204886678 231757062 307330017 347635593 614660034 695271186 921990051 1843980102 2356196797 4712393594 7068590391 14137180782 21205771173 42411542346