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42134442084 = 22337291921841
BaseRepresentation
bin100111001111011010…
…001001000001100100
311000202102101102121000
4213033122021001210
51142242404121314
631204543153300
73021062564010
oct471732110144
9130672342530
1042134442084
1116961880a69
1281ba8a5830
133c8633c247
142079c61540
1511690a4209
hex9cf689064

42134442084 has 96 divisors (see below), whose sum is σ = 129147782400. Its totient is φ = 11623288320.

The previous prime is 42134442083. The next prime is 42134442109. The reversal of 42134442084 is 48024443124.

42134442084 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 444 + 208 + 4 = 666.

It is a super-2 number, since 2×421344420842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42134442083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938997 + ... + 982844.

It is an arithmetic number, because the mean of its divisors is an integer number (1345289400).

Almost surely, 242134442084 is an apocalyptic number.

It is an amenable number.

42134442084 is an abundant number, since it is smaller than the sum of its proper divisors (87013340316).

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

42134442084 is a wasteful number, since it uses less digits than its factorization.

42134442084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921890 (or 1921882 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 42134442084 in words is "forty-two billion, one hundred thirty-four million, four hundred forty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 3132 3654 5481 7308 10962 21924 1921841 3843682 5765523 7687364 11531046 13452887 17296569 23062092 26905774 34593138 40358661 51889707 53811548 55733389 69186276 80717322 103779414 111466778 121075983 161434644 167200167 207558828 222933556 242151966 334400334 363227949 390133723 484303932 501600501 668800668 726455898 780267446 1003201002 1170401169 1452911796 1504801503 1560534892 2006402004 2340802338 3009603006 3511203507 4681604676 6019206012 7022407014 10533610521 14044814028 21067221042 42134442084