Search a number
-
+
141161328992376 = 233472112376173223
BaseRepresentation
bin100000000110001010101110…
…110111101110000001111000
3200111210220001201121220220000
4200012022232313232001320
5122000241400210224001
61220120341433433000
741506366216612500
oct4006125667560170
9614726051556800
10141161328992376
1140a84202169a00
12139ba01756b760
13609c5c1392274
1426c035d954a00
15114bde420aa86
hex8062aedee078

141161328992376 has 2880 divisors, whose sum is σ = 537351109827840. Its totient is φ = 34453627084800.

The previous prime is 141161328992353. The next prime is 141161328992393. The reversal of 141161328992376 is 673299823161141.

141161328992376 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 613 + 2 + 8 + 9 + 9 + 2 + 3 + 7 + 6 = 666.

It is a super-2 number, since 2×1411613289923762 (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23514624) is a multiple of the sum of its prime factors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 633010443801 + ... + 633010444023.

It is an arithmetic number, because the mean of its divisors is an integer number (186580246468).

Almost surely, 2141161328992376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141161328992376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268675554913920).

141161328992376 is an abundant number, since it is smaller than the sum of its proper divisors (396189780835464).

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

141161328992376 is a wasteful number, since it uses less digits than its factorization.

141161328992376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 417 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 141161328992376 in words is "one hundred forty-one trillion, one hundred sixty-one billion, three hundred twenty-eight million, nine hundred ninety-two thousand, three hundred seventy-six".