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3240105141132 = 2233433208733199
BaseRepresentation
bin101111001001100101010…
…100001110001110001100
3102110202021111110012222000
4233021211110032032030
5411041213404004012
610520252253552300
7453042553165566
oct57114524161614
912422244405860
103240105141132
11103a136979012
12443b547a5690
131a6704925202
14b2b71514336
1559438a1cddc
hex2f26550e38c

3240105141132 has 96 divisors (see below), whose sum is σ = 8423960832000. Its totient is φ = 1076991987456.

The previous prime is 3240105141121. The next prime is 3240105141167. The reversal of 3240105141132 is 2311415010423.

3240105141132 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 10 + 514 + 1 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3240105141096 and 3240105141105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97579869 + ... + 97613067.

It is an arithmetic number, because the mean of its divisors is an integer number (87749592000).

Almost surely, 23240105141132 is an apocalyptic number.

It is an amenable number.

3240105141132 is an abundant number, since it is smaller than the sum of its proper divisors (5183855690868).

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

3240105141132 is a wasteful number, since it uses less digits than its factorization.

3240105141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35732 (or 35724 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 3240105141132 in words is "three trillion, two hundred forty billion, one hundred five million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 433 866 1299 1732 2087 2598 3897 4174 5196 6261 7794 8348 11691 12522 15588 18783 23382 25044 33199 37566 46764 56349 66398 75132 99597 112698 132796 199194 225396 298791 398388 597582 896373 903671 1195164 1792746 1807342 2711013 3585492 3614684 5422026 8133039 10844052 14375167 16266078 24399117 28750334 32532156 43125501 48798234 57500668 69286313 86251002 97596468 129376503 138572626 172502004 207858939 258753006 277145252 388129509 415717878 517506012 623576817 776259018 831435756 1247153634 1552518036 1870730451 2494307268 3741460902 7482921804 30000973529 60001947058 90002920587 120003894116 180005841174 270008761761 360011682348 540017523522 810026285283 1080035047044 1620052570566 3240105141132