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132320114214440 = 23521140733849187
BaseRepresentation
bin11110000101100000101101…
…011001111000011000101000
3122100111200100021020010111012
4132011200231121320120220
5114320413043214330230
61145231004333323052
736604545532142615
oct3605405531703050
9570450307203435
10132320114214440
1139185710994329
1212a10636636488
1358aa96bba2499
1424964832c750c
151046e3aa12395
hex78582d678628

132320114214440 has 64 divisors (see below), whose sum is σ = 299204773680960. Its totient is φ = 52664254917120.

The previous prime is 132320114214439. The next prime is 132320114214479. The reversal of 132320114214440 is 44412411023231.

It is a super-2 number, since 2×1323201142144402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132320114214397 and 132320114214406.

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, 32451527 + ... + 36300713.

It is an arithmetic number, because the mean of its divisors is an integer number (4675074588765).

Almost surely, 2132320114214440 is an apocalyptic number.

132320114214440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132320114214440 is an abundant number, since it is smaller than the sum of its proper divisors (166884659466520).

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

132320114214440 is a wasteful number, since it uses less digits than its factorization.

132320114214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853482 (or 3853478 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 132320114214440 its reverse (44412411023231), we get a palindrome (176732525237671).

The spelling of 132320114214440 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred fourteen million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4073 4220 8146 8440 16292 20365 32584 40730 81460 162920 859403 1718806 3437612 3849187 4297015 6875224 7698374 8594030 15396748 17188060 19245935 30793496 34376120 38491870 76983740 153967480 812178457 1624356914 3248713828 4060892285 6497427656 8121784570 15677738651 16243569140 31355477302 32487138280 62710954604 78388693255 125421909208 156777386510 313554773020 627109546040 3308002855361 6616005710722 13232011421444 16540014276805 26464022842888 33080028553610 66160057107220 132320114214440