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132114230200040 = 23511300259614091
BaseRepresentation
bin11110000010100000111101…
…110000101100011011101000
3122022202222220212010112122112
4132002200331300230123220
5114304024420412400130
61144552234532341452
736553636532661644
oct3602407560543350
9568688825115575
10132114230200040
113910636a812010
1212998758474888
13589441a8371aa
14248a511989c24
1510418dac16495
hex78283dc2c6e8

132114230200040 has 32 divisors (see below), whose sum is σ = 324280383219360. Its totient is φ = 48041538254400.

The previous prime is 132114230200031. The next prime is 132114230200103. The reversal of 132114230200040 is 40002032411231.

It is a super-2 number, since 2×1321142302000402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132114230199979 and 132114230200015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150129806606 + ... + 150129807485.

It is an arithmetic number, because the mean of its divisors is an integer number (10133761975605).

Almost surely, 2132114230200040 is an apocalyptic number.

132114230200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114230200040 is an abundant number, since it is smaller than the sum of its proper divisors (192166153019320).

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

132114230200040 is a wasteful number, since it uses less digits than its factorization.

132114230200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300259614113 (or 300259614109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 132114230200040 its reverse (40002032411231), we get a palindrome (172116262611271).

The spelling of 132114230200040 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 300259614091 600519228182 1201038456364 1501298070455 2402076912728 3002596140910 3302855755001 6005192281820 6605711510002 12010384563640 13211423020004 16514278775005 26422846040008 33028557550010 66057115100020 132114230200040