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132104440313424 = 24323149572912753
BaseRepresentation
bin11110000010010111110110…
…001111001111011001010000
3122022202001122120201202220100
4132002113312033033121100
5114303344343210012144
61144543535253212400
736553142116215315
oct3602276617173120
9568661576652810
10132104440313424
11391021a6668327
1212996885931100
13589351a535387
142489c636bcd0c
15104151650e269
hex7825f63cf650

132104440313424 has 60 divisors (see below), whose sum is σ = 369710255255796. Its totient is φ = 44034658507776.

The previous prime is 132104440313359. The next prime is 132104440313449. The reversal of 132104440313424 is 424313044401231.

132104440313424 is a `hidden beast` number, since 1 + 3 + 210 + 4 + 4 + 4 + 0 + 3 + 13 + 424 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76873264707600 + 55231175605824 = 8767740^2 + 7431768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43897432 + ... + 46810184.

Almost surely, 2132104440313424 is an apocalyptic number.

It is an amenable number.

132104440313424 is an abundant number, since it is smaller than the sum of its proper divisors (237605814942372).

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

132104440313424 is a wasteful number, since it uses less digits than its factorization.

132104440313424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227724 (or 3227715 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 132104440313424 its reverse (424313044401231), we get a palindrome (556417484714655).

The spelling of 132104440313424 in words is "one hundred thirty-two trillion, one hundred four billion, four hundred forty million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 314957 629914 944871 1259828 1889742 2519656 2834613 2912753 3779484 5039312 5669226 5825506 7558968 8738259 11338452 11651012 15117936 17476518 22676904 23302024 26214777 34953036 45353808 46604048 52429554 69906072 104859108 139812144 209718216 419436432 917391946621 1834783893242 2752175839863 3669567786484 5504351679726 7339135572968 8256527519589 11008703359452 14678271145936 16513055039178 22017406718904 33026110078356 44034813437808 66052220156712 132104440313424