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424612658142 = 23529269111997
BaseRepresentation
bin1100010110111001110…
…00101111101111011110
31111120222222121221200000
412023130320233233132
523424101320030032
6523021522515130
742451204020561
oct6133470575736
91446888557600
10424612658142
11154093859792
126a361b05aa6
133106b84599a
14167a0d1c4d8
15b0a25a7e7c
hex62dce2fbde

424612658142 has 96 divisors (see below), whose sum is σ = 990644709600. Its totient is φ = 136147713408.

The previous prime is 424612658101. The next prime is 424612658161. The reversal of 424612658142 is 241856216424.

424612658142 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 1 + 26 + 581 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3735288 + ... + 3847284.

It is an arithmetic number, because the mean of its divisors is an integer number (10319215725).

Almost surely, 2424612658142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424612658142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495322354800).

424612658142 is an abundant number, since it is smaller than the sum of its proper divisors (566032051458).

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

424612658142 is a wasteful number, since it uses less digits than its factorization.

424612658142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112312 (or 112300 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 424612658142 in words is "four hundred twenty-four billion, six hundred twelve million, six hundred fifty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 269 486 522 538 783 807 1566 1614 2349 2421 4698 4842 7047 7263 7801 14094 14526 15602 21789 23403 43578 46806 65367 70209 111997 130734 140418 210627 223994 335991 421254 631881 671982 1007973 1263762 1895643 2015946 3023919 3247913 3791286 6047838 6495826 9071757 9743739 18143514 19487478 27215271 29231217 30127193 54430542 58462434 60254386 87693651 90381579 175387302 180763158 263080953 271144737 526161906 542289474 789242859 813434211 873688597 1578485718 1626868422 1747377194 2440302633 2621065791 4880605266 5242131582 7320907899 7863197373 14641815798 15726394746 23589592119 47179184238 70768776357 141537552714 212306329071 424612658142