Search a number
-
+
142669660608 = 26331031375851
BaseRepresentation
bin1000010011011111000…
…1100100000111000000
3111122020220010200122000
42010313301210013000
54314141413114413
6145312545544000
713210326051246
oct2046761440700
9448226120560
10142669660608
1155562338722
1223797945000
13105b89b5127
146c96004796
153aa02b2073
hex2137c641c0

142669660608 has 224 divisors, whose sum is σ = 426658552320. Its totient is φ = 46743091200.

The previous prime is 142669660603. The next prime is 142669660631. The reversal of 142669660608 is 806066966241.

142669660608 is a `hidden beast` number, since 1 + 4 + 26 + 6 + 9 + 6 + 6 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142669660603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24380883 + ... + 24386733.

It is an arithmetic number, because the mean of its divisors is an integer number (1904725680).

Almost surely, 2142669660608 is an apocalyptic number.

142669660608 is a gapful number since it is divisible by the number (18) 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 142669660608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213329276160).

142669660608 is an abundant number, since it is smaller than the sum of its proper divisors (283988891712).

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

142669660608 is a wasteful number, since it uses less digits than its factorization.

142669660608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 142669660608 in words is "one hundred forty-two billion, six hundred sixty-nine million, six hundred sixty thousand, six hundred eight".