Search a number
-
+
232005404542040 = 235149337115510627
BaseRepresentation
bin110100110000000111110111…
…101110010100010001011000
31010102110111111112202211221022
4310300013313232110101120
5220402134032030321130
62141233451135502012
766603560130246323
oct6460076756242130
91112414445684838
10232005404542040
1167a18a3754a658
1222030250687908
139c5c028862b5c
14414119b5497ba
151bc4ed655b7e5
hexd301f7b94458

232005404542040 has 64 divisors (see below), whose sum is σ = 527074995564000. Its totient is φ = 91905798555648.

The previous prime is 232005404541997. The next prime is 232005404542063. The reversal of 232005404542040 is 40245404500232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55746794 + ... + 59763833.

Almost surely, 2232005404542040 is an apocalyptic number.

232005404542040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232005404542040 is an abundant number, since it is smaller than the sum of its proper divisors (295069591021960).

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

232005404542040 is a wasteful number, since it uses less digits than its factorization.

232005404542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115511124 (or 115511120 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 232005404542040 in words is "two hundred thirty-two trillion, five billion, four hundred four million, five hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 337 596 674 745 1192 1348 1490 1685 2696 2980 3370 5960 6740 13480 50213 100426 200852 251065 401704 502130 1004260 2008520 115510627 231021254 462042508 577553135 924085016 1155106270 2310212540 4620425080 17211083423 34422166846 38927081299 68844333692 77854162598 86055417115 137688667384 155708325196 172110834230 194635406495 311416650392 344221668460 389270812990 688443336920 778541625980 1557083251960 5800135113551 11600270227102 23200540454204 29000675567755 46401080908408 58001351135510 116002702271020 232005404542040