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132414313403 = 17232912791951
BaseRepresentation
bin111101101010010000…
…0100001001110111011
3110122210011220001222202
41323110200201032323
54132141031012103
6140455202140415
712365231043641
oct1732440411673
9418704801882
10132414313403
115117a478569
12217b535170b
13c643132448
1465a1db3191
15369ecb5988
hex1ed48213bb

132414313403 has 32 divisors (see below), whose sum is σ = 152537333760. Its totient is φ = 114188659200.

The previous prime is 132414313397. The next prime is 132414313411. The reversal of 132414313403 is 304313414231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132414313403 - 28 = 132414313147 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132414313463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394078 + ... + 1486028.

It is an arithmetic number, because the mean of its divisors is an integer number (4766791680).

Almost surely, 2132414313403 is an apocalyptic number.

132414313403 is a deficient number, since it is larger than the sum of its proper divisors (20123020357).

132414313403 is a wasteful number, since it uses less digits than its factorization.

132414313403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92147.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 132414313403 its reverse (304313414231), we get a palindrome (436727727634).

The spelling of 132414313403 in words is "one hundred thirty-two billion, four hundred fourteen million, three hundred thirteen thousand, four hundred three".

Divisors: 1 17 23 29 127 391 493 667 2159 2921 3683 11339 49657 62611 84709 91951 1440053 1563167 2114873 2666579 11677777 35952841 45331843 61331317 198522209 268588871 338655533 1042632389 4566010807 5757144061 7789077259 132414313403