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42241201182 = 23237893312153
BaseRepresentation
bin100111010101110001…
…011001010000011110
311001000212021100112200
4213111301121100132
51143002221414212
631223315312330
73023530200015
oct472561312036
9131025240480
1042241201182
1116a07069724
12822a5ab6a6
133ca24ab3cb
14208a0d1a7c
1511736416dc
hex9d5c5941e

42241201182 has 96 divisors (see below), whose sum is σ = 95383772640. Its totient is φ = 13498721280.

The previous prime is 42241201181. The next prime is 42241201199. The reversal of 42241201182 is 28110214224.

42241201182 is a `hidden beast` number, since 42 + 241 + 201 + 182 = 666.

42241201182 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42241201181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19618618 + ... + 19620770.

It is an arithmetic number, because the mean of its divisors is an integer number (993580965).

Almost surely, 242241201182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42241201182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47691886320).

42241201182 is an abundant number, since it is smaller than the sum of its proper divisors (53142571458).

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

42241201182 is a wasteful number, since it uses less digits than its factorization.

42241201182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 42241201182 in words is "forty-two billion, two hundred forty-one million, two hundred one thousand, one hundred eighty-two".

Divisors: 1 2 3 6 9 18 37 74 89 111 178 222 267 331 333 534 662 666 801 993 1602 1986 2153 2979 3293 4306 5958 6459 6586 9879 12247 12918 19377 19758 24494 29459 29637 36741 38754 58918 59274 73482 79661 88377 110223 159322 176754 191617 220446 238983 265131 383234 477966 530262 574851 712643 716949 1089983 1149702 1425286 1433898 1724553 2137929 2179966 3269949 3449106 4275858 6413787 6539898 7089829 9809847 12827574 14179658 19619694 21269487 26367791 42538974 52735582 63425227 63808461 79103373 126850454 127616922 158206746 190275681 237310119 380551362 474620238 570827043 1141654086 2346733399 4693466798 7040200197 14080400394 21120600591 42241201182