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232343430314040 = 23325645398417539
BaseRepresentation
bin110100110101000010101011…
…101000010011100000111000
31010110122211000010220020111100
4310311002223220103200320
5220423203321130022130
62142053033125131400
766640154541020013
oct6465025350234070
91113584003806440
10232343430314040
1168039328260201
1222085868859b60
139c84b78721366
1441536a698c37a
151bcdbbc230c60
hexd350aba13838

232343430314040 has 48 divisors (see below), whose sum is σ = 755116148521800. Its totient is φ = 61958248083648.

The previous prime is 232343430314033. The next prime is 232343430314071. The reversal of 232343430314040 is 40413034343232.

232343430314040 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 43 + 430 + 3 + 140 + 40 = 666.

It is a super-2 number, since 2×2323434303140402 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 232343430313986 and 232343430314004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322699208410 + ... + 322699209129.

Almost surely, 2232343430314040 is an apocalyptic number.

232343430314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232343430314040 is an abundant number, since it is smaller than the sum of its proper divisors (522772718207760).

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

232343430314040 is a wasteful number, since it uses less digits than its factorization.

232343430314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645398417556 (or 645398417549 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 232343430314040 its reverse (40413034343232), we get a palindrome (272756464657272).

The spelling of 232343430314040 in words is "two hundred thirty-two trillion, three hundred forty-three billion, four hundred thirty million, three hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 645398417539 1290796835078 1936195252617 2581593670156 3226992087695 3872390505234 5163187340312 5808585757851 6453984175390 7744781010468 9680976263085 11617171515702 12907968350780 15489562020936 19361952526170 23234343031404 25815936701560 29042928789255 38723905052340 46468686062808 58085857578510 77447810104680 116171715157020 232343430314040