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232114413434040 = 23325644762259539
BaseRepresentation
bin110100110001101101011001…
…001010001111010010111000
31010102211220212120020022201200
4310301231121022033102320
5220410430304314342130
62141355520042414200
766614466355452144
oct6461553112172270
91112756776208650
10232114413434040
1167a6019619a645
12220493b3501360
139c693ab917007
14414657cc58224
151bc7c6662c760
hexd31b5928f4b8

232114413434040 has 48 divisors (see below), whose sum is σ = 754371843661800. Its totient is φ = 61897176915648.

The previous prime is 232114413434039. The next prime is 232114413434107. The reversal of 232114413434040 is 40434314411232.

232114413434040 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 144 + 134 + 340 + 40 = 666.

232114413434040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 232114413433986 and 232114413434004.

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, 322381129410 + ... + 322381130129.

Almost surely, 2232114413434040 is an apocalyptic number.

232114413434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232114413434040 is an abundant number, since it is smaller than the sum of its proper divisors (522257430227760).

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

232114413434040 is a wasteful number, since it uses less digits than its factorization.

232114413434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644762259556 (or 644762259549 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 232114413434040 its reverse (40434314411232), we get a palindrome (272548727845272).

The spelling of 232114413434040 in words is "two hundred thirty-two trillion, one hundred fourteen billion, four hundred thirteen million, four hundred thirty-four 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 644762259539 1289524519078 1934286778617 2579049038156 3223811297695 3868573557234 5158098076312 5802860335851 6447622595390 7737147114468 9671433893085 11605720671702 12895245190780 15474294228936 19342867786170 23211441343404 25790490381560 29014301679255 38685735572340 46422882686808 58028603358510 77371471144680 116057206717020 232114413434040