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232134544114140 = 223561166938001641
BaseRepresentation
bin110100110010000000001001…
…000010101100000111011100
31010102220211211111122211101010
4310302000021002230013130
5220411243021243123030
62141413045401015220
766616111255431453
oct6462001102540734
91112824744584333
10232134544114140
1167a68786465548
1222051291184510
139c6b2693b7b45
14414752c639b9a
151bc8543aad6b0
hexd320090ac1dc

232134544114140 has 96 divisors (see below), whose sum is σ = 661027922130240. Its totient is φ = 60851266099200.

The previous prime is 232134544114097. The next prime is 232134544114141. The reversal of 232134544114140 is 41411445431232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232134544114141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12892281 + ... + 25109360.

It is an arithmetic number, because the mean of its divisors is an integer number (6885707522190).

Almost surely, 2232134544114140 is an apocalyptic number.

232134544114140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232134544114140 is an abundant number, since it is smaller than the sum of its proper divisors (428893378016100).

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

232134544114140 is a wasteful number, since it uses less digits than its factorization.

232134544114140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38003383 (or 38003381 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 232134544114140 its reverse (41411445431232), we get a palindrome (273545989545372).

The spelling of 232134544114140 in words is "two hundred thirty-two trillion, one hundred thirty-four billion, five hundred forty-four million, one hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1669 1830 3338 3660 5007 6676 8345 10014 16690 20028 25035 33380 50070 100140 101809 203618 305427 407236 509045 610854 1018090 1221708 1527135 2036180 3054270 6108540 38001641 76003282 114004923 152006564 190008205 228009846 380016410 456019692 570024615 760032820 1140049230 2280098460 2318100101 4636200202 6954300303 9272400404 11590500505 13908600606 23181001010 27817201212 34771501515 46362002020 63424738829 69543003030 126849477658 139086006060 190274216487 253698955316 317123694145 380548432974 634247388290 761096865948 951371082435 1268494776580 1902742164870 3805484329740 3868909068569 7737818137138 11606727205707 15475636274276 19344545342845 23213454411414 38689090685690 46426908822828 58033636028535 77378181371380 116067272057070 232134544114140