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42102341442 = 2327256384787
BaseRepresentation
bin100111001101011111…
…101011111101000010
311000200011222112210100
4213031133223331002
51142211144411232
631201435143230
73020222666100
oct471537537502
9130604875710
1042102341442
1116945746307
1281abba4b16
133c7c7b0095
1420758a6c70
151166362c7c
hex9cd7ebf42

42102341442 has 72 divisors (see below), whose sum is σ = 106304820336. Its totient is φ = 12007732464.

The previous prime is 42102341387. The next prime is 42102341461. The reversal of 42102341442 is 24414320124.

42102341442 is a `hidden beast` number, since 4 + 210 + 2 + 3 + 4 + 1 + 442 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 454173 + ... + 538959.

It is an arithmetic number, because the mean of its divisors is an integer number (1476455838).

Almost surely, 242102341442 is an apocalyptic number.

42102341442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102341442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53152410168).

42102341442 is an abundant number, since it is smaller than the sum of its proper divisors (64202478894).

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

42102341442 is a wasteful number, since it uses less digits than its factorization.

42102341442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85372 (or 85362 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42102341442 its reverse (24414320124), we get a palindrome (66516661566).

The spelling of 42102341442 in words is "forty-two billion, one hundred two million, three hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 563 882 1126 1689 3378 3941 5067 7882 10134 11823 23646 27587 35469 55174 70938 82761 84787 165522 169574 248283 254361 496566 508722 593509 763083 1187018 1526166 1780527 3561054 4154563 5341581 8309126 10683162 12463689 24927378 37391067 47735081 74782134 95470162 143205243 286410486 334145567 429615729 668291134 859231458 1002436701 2004873402 2339018969 3007310103 4678037938 6014620206 7017056907 14034113814 21051170721 42102341442