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40502341242 = 232111038872239
BaseRepresentation
bin100101101110001000…
…001010111001111010
310212112200022010010200
4211232020022321322
51130422044404432
630335001423030
72632454135346
oct455610127172
9125480263120
1040502341242
11161a45744a0
127a2419aa76
133a861771bc
141d631b2626
1510c0b63a7c
hex96e20ae7a

40502341242 has 96 divisors (see below), whose sum is σ = 96814448640. Its totient is φ = 12135152160.

The previous prime is 40502341219. The next prime is 40502341261. The reversal of 40502341242 is 24214320504.

40502341242 is a `hidden beast` number, since 4 + 0 + 502 + 34 + 124 + 2 = 666.

40502341242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18088359 + ... + 18090597.

It is an arithmetic number, because the mean of its divisors is an integer number (1008483840).

Almost surely, 240502341242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40502341242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48407224320).

40502341242 is an abundant number, since it is smaller than the sum of its proper divisors (56312107398).

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

40502341242 is a wasteful number, since it uses less digits than its factorization.

40502341242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40502341242 its reverse (24214320504), we get a palindrome (64716661746).

The spelling of 40502341242 in words is "forty billion, five hundred two million, three hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 887 927 1133 1774 1854 2239 2266 2661 3399 4478 5322 6717 6798 7983 9757 10197 13434 15966 19514 20151 20394 24629 29271 40302 49258 58542 73887 87813 91361 147774 175626 182722 221661 230617 274083 443322 461234 548166 691851 822249 1004971 1383702 1644498 1985993 2009942 2075553 2536787 3014913 3971986 4151106 5073574 5957979 6029826 7610361 9044739 11915958 15220722 17873937 18089478 21845923 22831083 35747874 43691846 45662166 65537769 131075538 196613307 204557279 393226614 409114558 613671837 1227343674 1841015511 2250130069 3682031022 4500260138 6750390207 13500780414 20251170621 40502341242