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132414452515320 = 233510110925284861
BaseRepresentation
bin11110000110111000100100…
…011001111100000111111000
3122100211200211212101100121220
4132012320210121330013320
5114323434244320442240
61145342205410432040
736614425400362653
oct3606704431740770
9570750755340556
10132414452515320
1139211721453048
1212a26984292620
1358b68247342b1
14249ac7243c89a
15104960cb8b5d0
hex786e2467c1f8

132414452515320 has 64 divisors (see below), whose sum is σ = 401176460132640. Its totient is φ = 34960911552000.

The previous prime is 132414452515277. The next prime is 132414452515409. The reversal of 132414452515320 is 23515254414231.

132414452515320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5462630311 + ... + 5462654550.

Almost surely, 2132414452515320 is an apocalyptic number.

132414452515320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132414452515320 is an abundant number, since it is smaller than the sum of its proper divisors (268762007617320).

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

132414452515320 is a wasteful number, since it uses less digits than its factorization.

132414452515320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925284976 (or 10925284972 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 132414452515320 in words is "one hundred thirty-two trillion, four hundred fourteen billion, four hundred fifty-two million, five hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 10925284861 21850569722 32775854583 43701139444 54626424305 65551709166 87402278888 109252848610 131103418332 163879272915 218505697220 262206836664 327758545830 437011394440 655517091660 1103453770961 1311034183320 2206907541922 3310361312883 4413815083844 5517268854805 6620722625766 8827630167688 11034537709610 13241445251532 16551806564415 22069075419220 26482890503064 33103613128830 44138150838440 66207226257660 132414452515320