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42132211424334 = 23217757181885027
BaseRepresentation
bin10011001010001101010110…
…11111101101110001001110
312112011210121020220002210100
421211012223133231301032
521010243232111034314
6225335134250551530
711605644322106313
oct1145065337556116
9175153536802710
1042132211424334
1112474196a678a9
1248856084385a6
131a68086c04c65
14a592d2006d0a
154d0e4ec84c09
hex2651ab7edc4e

42132211424334 has 48 divisors (see below), whose sum is σ = 96783933559248. Its totient is φ = 13200487646976.

The previous prime is 42132211424263. The next prime is 42132211424339. The reversal of 42132211424334 is 43342411223124.

42132211424334 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 2 + 211 + 4 + 2 + 433 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132211424339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90710872 + ... + 91174155.

It is an arithmetic number, because the mean of its divisors is an integer number (2016331949151).

Almost surely, 242132211424334 is an apocalyptic number.

42132211424334 is an abundant number, since it is smaller than the sum of its proper divisors (54651722134914).

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

42132211424334 is a wasteful number, since it uses less digits than its factorization.

42132211424334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181885809 (or 181885806 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 42132211424334 its reverse (43342411223124), we get a palindrome (85474622647458).

The spelling of 42132211424334 in words is "forty-two trillion, one hundred thirty-two billion, two hundred eleven million, four hundred twenty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 757 1514 2271 4542 6813 12869 13626 25738 38607 77214 115821 231642 181885027 363770054 545655081 1091310162 1636965243 3092045459 3273930486 6184090918 9276136377 18552272754 27828409131 55656818262 137686965439 275373930878 413060896317 826121792634 1239182688951 2340678412463 2478365377902 4681356824926 7022035237389 14044070474778 21066105712167 42132211424334