Search a number
-
+
132034141540040 = 23513960533923203
BaseRepresentation
bin11110000001010110011000…
…000110101100111011001000
3122022111100012100012001222212
4132001112120012230323020
5114301221410213240130
61144451351450404252
736545103053415245
oct3601263006547310
9568440170161885
10132034141540040
113908540185a403
1212985126a30688
1358899c622c34c
1424866b51325cc
15103e79ea82e95
hex7815981acec8

132034141540040 has 64 divisors (see below), whose sum is σ = 299263570401600. Its totient is φ = 52425026456832.

The previous prime is 132034141540033. The next prime is 132034141540099. The reversal of 132034141540040 is 40045141430231.

It is a junction number, because it is equal to n+sod(n) for n = 132034141539979 and 132034141540006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31693079 + ... + 35616281.

It is an arithmetic number, because the mean of its divisors is an integer number (4675993287525).

Almost surely, 2132034141540040 is an apocalyptic number.

132034141540040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132034141540040 is an abundant number, since it is smaller than the sum of its proper divisors (167229428861560).

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

132034141540040 is a wasteful number, since it uses less digits than its factorization.

132034141540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929406 (or 3929402 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 132034141540040 its reverse (40045141430231), we get a palindrome (172079282970271).

The spelling of 132034141540040 in words is "one hundred thirty-two trillion, thirty-four billion, one hundred forty-one million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 139 278 556 695 1112 1390 2780 5560 6053 12106 24212 30265 48424 60530 121060 242120 841367 1682734 3365468 3923203 4206835 6730936 7846406 8413670 15692812 16827340 19616015 31385624 33654680 39232030 78464060 156928120 545325217 1090650434 2181300868 2726626085 4362601736 5453252170 10906504340 21813008680 23747147759 47494295518 94988591036 118735738795 189977182072 237471477590 474942955180 949885910360 3300853538501 6601707077002 13203414154004 16504267692505 26406828308008 33008535385010 66017070770020 132034141540040