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42343477434324 = 22331135642657773
BaseRepresentation
bin10011010000010110110111…
…11011100101011111010100
312112220222220202011101122000
421220023123323211133110
521022223420210344244
6230020154110435300
711630133562421433
oct1150133373453724
9175828822141560
1042343477434324
111254584a135060
1248ba548b02b30
131a81c852a8421
14a6561444111a
154d66b72e1169
hex2682dbee57d4

42343477434324 has 48 divisors (see below), whose sum is σ = 119759330120640. Its totient is φ = 12831356797920.

The previous prime is 42343477434311. The next prime is 42343477434359.

42343477434324 is a `hidden beast` number, since 4 + 234 + 3 + 47 + 7 + 4 + 343 + 24 = 666.

42343477434324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423434774343242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17821327699 + ... + 17821330074.

It is an arithmetic number, because the mean of its divisors is an integer number (2494986044180).

Almost surely, 242343477434324 is an apocalyptic number.

42343477434324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42343477434324 is an abundant number, since it is smaller than the sum of its proper divisors (77415852686316).

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

42343477434324 is a wasteful number, since it uses less digits than its factorization.

42343477434324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35642657797 (or 35642657789 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 54.

The spelling of 42343477434324 in words is "forty-two trillion, three hundred forty-three billion, four hundred seventy-seven million, four hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 35642657773 71285315546 106927973319 142570631092 213855946638 320783919957 392069235503 427711893276 641567839914 784138471006 962351759871 1176207706509 1283135679828 1568276942012 1924703519742 2352415413018 3528623119527 3849407039484 4704830826036 7057246239054 10585869358581 14114492478108 21171738717162 42343477434324