Search a number
-
+
141660398880 = 2533571113174147
BaseRepresentation
bin1000001111101110011…
…1100010010100100000
3111112122120000212211000
42003323213202110200
54310110030231010
6145024453552000
713143322344240
oct2037347422440
9445576025730
10141660398880
1155094669420
1223555945600
1310487884440
146bdbd65b20
153a418a17c0
hex20fb9e2520

141660398880 has 3072 divisors, whose sum is σ = 737418608640. Its totient is φ = 24418713600.

The previous prime is 141660398821. The next prime is 141660398923. The reversal of 141660398880 is 88893066141.

141660398880 is a `hidden beast` number, since 1 + 416 + 60 + 3 + 98 + 8 + 80 = 666.

It is a super-2 number, since 2×1416603988802 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 3014051017 + ... + 3014051063.

It is an arithmetic number, because the mean of its divisors is an integer number (240045120).

Almost surely, 2141660398880 is an apocalyptic number.

141660398880 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 141660398880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368709304320).

141660398880 is an abundant number, since it is smaller than the sum of its proper divisors (595758209760).

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

141660398880 is a wasteful number, since it uses less digits than its factorization.

141660398880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 141660398880 in words is "one hundred forty-one billion, six hundred sixty million, three hundred ninety-eight thousand, eight hundred eighty".