Search a number
-
+
147180889175040 = 21033571947181941
BaseRepresentation
bin100001011101110000111000…
…100111011111010000000000
3201022010100121020002201002000
4201131300320213133100000
5123242402430112100130
61241005544515224000
743000316432131410
oct4135607047372000
9638110536081060
10147180889175040
1142995078a3a076
1214610785ba8000
136418137c56a36
14284b84345c640
1512037a54d3260
hex85dc389df400

147180889175040 has 2816 divisors, whose sum is σ = 646863423897600. Its totient is φ = 30987347558400.

The previous prime is 147180889174973. The next prime is 147180889175069. The reversal of 147180889175040 is 40571988081741.

147180889175040 is a `hidden beast` number, since 1 + 47 + 1 + 8 + 0 + 8 + 89 + 1 + 7 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 156409020970 + ... + 156409021910.

Almost surely, 2147180889175040 is an apocalyptic number.

147180889175040 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 147180889175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323431711948800).

147180889175040 is an abundant number, since it is smaller than the sum of its proper divisors (499682534722560).

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

147180889175040 is a wasteful number, since it uses less digits than its factorization.

147180889175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 147180889175040 in words is "one hundred forty-seven trillion, one hundred eighty billion, eight hundred eighty-nine million, one hundred seventy-five thousand, forty".