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232140032040 = 23357377469113
BaseRepresentation
bin1101100000110010011…
…1111100100000101000
3211012012020102110221110
43120030213330200220
512300410322011130
6254351010310320
722525434500220
oct3301447744050
9735166373843
10232140032040
118a4a4aa5a54
1238ba72883a0
1318b76b7a407
14b342837080
156089dc1ab0
hex360c9fc828

232140032040 has 128 divisors (see below), whose sum is σ = 817419836160. Its totient is φ = 51626502144.

The previous prime is 232140032027. The next prime is 232140032081. The reversal of 232140032040 is 40230041232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 232140031998 and 232140032016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3703477 + ... + 3765636.

It is an arithmetic number, because the mean of its divisors is an integer number (6386092470).

Almost surely, 2232140032040 is an apocalyptic number.

232140032040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232140032040 is an abundant number, since it is smaller than the sum of its proper divisors (585279804120).

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

232140032040 is a wasteful number, since it uses less digits than its factorization.

232140032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469171 (or 7469167 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 232140032040 its reverse (40230041232), we get a palindrome (272370073272).

The spelling of 232140032040 in words is "two hundred thirty-two billion, one hundred forty million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 7469113 14938226 22407339 29876452 37345565 44814678 52283791 59752904 74691130 89629356 104567582 112036695 149382260 156851373 179258712 209135164 224073390 261418955 276357181 298764520 313702746 418270328 448146780 522837910 552714362 627405492 784256865 829071543 896293560 1045675820 1105428724 1254810984 1381785905 1568513730 1658143086 1934500267 2091351640 2210857448 2763571810 3137027460 3316286172 3869000534 4145357715 5527143620 5803500801 6274054920 6632572344 7738001068 8290715430 9672501335 11054287240 11607001602 15476002136 16581430860 19345002670 23214003204 29017504005 33162861720 38690005340 46428006408 58035008010 77380010680 116070016020 232140032040