Search a number
-
+
141160417920 = 27325192116113
BaseRepresentation
bin1000001101110111010…
…0010000101010000000
3111111100201020012212200
42003131310100222000
54303044031333140
6144503113353200
713125041516634
oct2033564205200
9444321205780
10141160417920
1154958415315
1223436408800
1310408107c12
146b917b6dc4
153a12a3e030
hex20ddd10a80

141160417920 has 384 divisors, whose sum is σ = 515615630400. Its totient is φ = 35486760960.

The previous prime is 141160417919. The next prime is 141160417933. The reversal of 141160417920 is 29714061141.

141160417920 is a `hidden beast` number, since 1 + 4 + 11 + 604 + 17 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23088784 + ... + 23094896.

Almost surely, 2141160417920 is an apocalyptic number.

141160417920 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 141160417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257807815200).

141160417920 is an abundant number, since it is smaller than the sum of its proper divisors (374455212480).

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

141160417920 is a wasteful number, since it uses less digits than its factorization.

141160417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6368 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 141160417920 in words is "one hundred forty-one billion, one hundred sixty million, four hundred seventeen thousand, nine hundred twenty".