Search a number
-
+
132037742214 = 23277699136111
BaseRepresentation
bin111101011111000010…
…0000000111010000110
3110121210221022021102200
41322332010000322012
54130403130222324
6140353551015330
712353006201520
oct1727604007206
9417727267380
10132037742214
1150aa6955004
122170b20a546
13c5b3104b61
146567d8aa10
15367bbcdec9
hex1ebe100e86

132037742214 has 48 divisors (see below), whose sum is σ = 326995468800. Its totient is φ = 37719892080.

The previous prime is 132037742173. The next prime is 132037742219. The reversal of 132037742214 is 412247730231.

132037742214 is a `hidden beast` number, since 1 + 32 + 0 + 377 + 42 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132037742219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 902019 + ... + 1038129.

It is an arithmetic number, because the mean of its divisors is an integer number (6812405600).

Almost surely, 2132037742214 is an apocalyptic number.

132037742214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132037742214 is an abundant number, since it is smaller than the sum of its proper divisors (194957726586).

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

132037742214 is a wasteful number, since it uses less digits than its factorization.

132037742214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143825 (or 143822 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 132037742214 in words is "one hundred thirty-two billion, thirty-seven million, seven hundred forty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 7699 15398 23097 46194 53893 69291 107786 136111 138582 161679 272222 323358 408333 485037 816666 952777 970074 1224999 1905554 2449998 2858331 5716662 8574993 17149986 1047918589 2095837178 3143755767 6287511534 7335430123 9431267301 14670860246 18862534602 22006290369 44012580738 66018871107 132037742214