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132303434557014 = 232717101611547617
BaseRepresentation
bin11110000101010001001011…
…001110000010011001010110
3122100110002021211111201222100
4132011101023032002121112
5114320124413221311024
61145215205254342530
736603415305325020
oct3605211316023126
9570402254451870
10132303434557014
1139179631733886
1212a0936065aa46
1358a92113801c6
14249573dd95010
1510467b15167c9
hex78544b382656

132303434557014 has 96 divisors (see below), whose sum is σ = 350314045114176. Its totient is φ = 35225142681600.

The previous prime is 132303434557013. The next prime is 132303434557097. The reversal of 132303434557014 is 410755434303231.

132303434557014 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 34 + 3 + 45 + 570 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132303434557013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305557467 + ... + 305990150.

It is an arithmetic number, because the mean of its divisors is an integer number (3649104636606).

Almost surely, 2132303434557014 is an apocalyptic number.

132303434557014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132303434557014 is an abundant number, since it is smaller than the sum of its proper divisors (218010610557162).

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

132303434557014 is a wasteful number, since it uses less digits than its factorization.

132303434557014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611547750 (or 611547747 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 132303434557014 in words is "one hundred thirty-two trillion, three hundred three billion, four hundred thirty-four million, five hundred fifty-seven thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 101 102 119 126 153 202 238 303 306 357 606 707 714 909 1071 1414 1717 1818 2121 2142 3434 4242 5151 6363 10302 12019 12726 15453 24038 30906 36057 72114 108171 216342 611547617 1223095234 1834642851 3669285702 4280833319 5503928553 8561666638 10396309489 11007857106 12842499957 20792618978 25684999914 31188928467 38527499871 61766309317 62377856934 72774166423 77054999742 93566785401 123532618634 145548332846 185298927951 187133570802 218322499269 370597855902 432364165219 436644998538 555896783853 654967497807 864728330438 1050027258389 1111793567706 1297092495657 1309934995614 2100054516778 2594184991314 3150081775167 3891277486971 6300163550334 7350190808723 7782554973942 9450245325501 14700381617446 18900490651002 22050572426169 44101144852338 66151717278507 132303434557014