Search a number
-
+
118429441542720 = 26325711975505601
BaseRepresentation
bin11010111011011000000000…
…110010110100101001000000
3120112022202002101221212222100
4122323120000302310221000
5111010321444013331340
61055513422342310400
733642146651441460
oct3273300062645100
9515282071855870
10118429441542720
113480a70a335610
1211348504428400
135110b04c86c39
142136030979ba0
15da594cb36830
hex6bb600cb4a40

118429441542720 has 672 divisors, whose sum is σ = 513098146020096. Its totient is φ = 24355012608000.

The previous prime is 118429441542707. The next prime is 118429441542743. The reversal of 118429441542720 is 27245144924811.

118429441542720 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 2 + 94 + 4 + 1 + 542 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18757920 + ... + 24263520.

It is an arithmetic number, because the mean of its divisors is an integer number (763538907768).

Almost surely, 2118429441542720 is an apocalyptic number.

118429441542720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118429441542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256549073010048).

118429441542720 is an abundant number, since it is smaller than the sum of its proper divisors (394668704477376).

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

118429441542720 is a wasteful number, since it uses less digits than its factorization.

118429441542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505739 (or 5505726 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 118429441542720 in words is "one hundred eighteen trillion, four hundred twenty-nine billion, four hundred forty-one million, five hundred forty-two thousand, seven hundred twenty".