Search a number
-
+
132104131414340 = 225231567490337379
BaseRepresentation
bin11110000010010111100011…
…110100111000100101000100
3122022202000212001111002000112
4132002113203310320211010
5114303343230120224330
61144543444500332152
736553131345503021
oct3602274364704504
9568660761432015
10132104131414340
1139102058265928
12129967ba3a4058
13589349b53cb57
142489c34670548
1510414e9343795
hex7825e3d38944

132104131414340 has 96 divisors (see below), whose sum is σ = 289731923066880. Its totient is φ = 50500280704896.

The previous prime is 132104131414331. The next prime is 132104131414379. The reversal of 132104131414340 is 43414131401231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132104131414297 and 132104131414306.

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, 3534161771 + ... + 3534199149.

It is an arithmetic number, because the mean of its divisors is an integer number (3018040865280).

Almost surely, 2132104131414340 is an apocalyptic number.

132104131414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132104131414340 is an abundant number, since it is smaller than the sum of its proper divisors (157627791652540).

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

132104131414340 is a wasteful number, since it uses less digits than its factorization.

132104131414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43881 (or 43879 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 132104131414340 its reverse (43414131401231), we get a palindrome (175518262815571).

The spelling of 132104131414340 in words is "one hundred thirty-two trillion, one hundred four billion, one hundred thirty-one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1567 3134 4903 6268 7835 9806 15670 19612 24515 31340 36041 37379 49030 72082 74758 98060 112769 144164 149516 180205 186895 225538 360410 373790 451076 563845 720820 747580 859717 1127690 1719434 2255380 3438868 4298585 7683001 8597170 15366002 17194340 30732004 38415005 58572893 76830010 117145786 153660020 176709023 183269237 234291572 292864465 353418046 366538474 585728930 706836092 733076948 883545115 916346185 1171457860 1347176539 1767090230 1832692370 2694353078 3534180460 3665384740 4215192451 5388706156 6735882695 8430384902 13471765390 16860769804 21075962255 26943530780 42151924510 84303849020 287182894379 574365788758 1148731577516 1435914471895 2871828943790 5743657887580 6605206570717 13210413141434 26420826282868 33026032853585 66052065707170 132104131414340