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141241519964160 = 22133571121931
BaseRepresentation
bin100000000111010101011010…
…101000000000000000000000
3200112002120001101002100221000
4200013111122220000000000
5122003100113102323120
61220221243012332000
741515235350620240
oct4007253250000000
9615076041070830
10141241519964160
1141005212951a00
1213a11677314000
1360a7030c3cc25
1426c41a9c01b20
15114e03934d990
hex80755aa00000

141241519964160 has 4224 divisors, whose sum is σ = 685476617011200. Its totient is φ = 26907299020800.

The previous prime is 141241519964159. The next prime is 141241519964227. The reversal of 141241519964160 is 61469915142141.

141241519964160 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 4 + 1 + 519 + 9 + 64 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a junction number, because it is equal to n+sod(n) for n = 141241519964097 and 141241519964106.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4556178063345 + ... + 4556178063375.

Almost surely, 2141241519964160 is an apocalyptic number.

141241519964160 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 141241519964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342738308505600).

141241519964160 is an abundant number, since it is smaller than the sum of its proper divisors (544235097047040).

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

141241519964160 is an frugal number, since it uses more digits than its factorization.

141241519964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 141241519964160 in words is "one hundred forty-one trillion, two hundred forty-one billion, five hundred nineteen million, nine hundred sixty-four thousand, one hundred sixty".