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42155310414 = 2371723739311
BaseRepresentation
bin100111010000101001…
…101111110101001110
311000210212122122120010
4213100221233311032
51142313224413124
631211010334050
73021435140430
oct472051576516
9130725578503
1042155310414
1116972634718
12820588a326
133c8a767979
14207c934650
15116ad27529
hex9d0a6fd4e

42155310414 has 96 divisors (see below), whose sum is σ = 102641780736. Its totient is φ = 11304276480.

The previous prime is 42155310383. The next prime is 42155310419. The reversal of 42155310414 is 41401355124.

It is a super-2 number, since 2×421553104142 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42155310419) 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, 4522819 + ... + 4532129.

It is an arithmetic number, because the mean of its divisors is an integer number (1069185216).

Almost surely, 242155310414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42155310414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51320890368).

42155310414 is an abundant number, since it is smaller than the sum of its proper divisors (60486470322).

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

42155310414 is a wasteful number, since it uses less digits than its factorization.

42155310414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 42155310414 its reverse (41401355124), we get a palindrome (83556665538).

The spelling of 42155310414 in words is "forty-two billion, one hundred fifty-five million, three hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 289 357 373 578 714 746 867 1119 1734 2023 2238 2611 4046 5222 6069 6341 7833 9311 12138 12682 15666 18622 19023 27933 38046 44387 55866 65177 88774 107797 130354 133161 158287 195531 215594 266322 316574 323391 391062 474861 646782 754579 949722 1108009 1509158 2216018 2263737 2690879 3324027 3473003 4527474 5381758 6648054 6946006 8072637 10419009 16145274 18836153 20838018 24311021 37672306 48622042 56508459 59041051 72933063 113016918 118082102 145866126 177123153 354246306 413287357 826574714 1003697867 1239862071 2007395734 2479724142 3011093601 6022187202 7025885069 14051770138 21077655207 42155310414