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141979376448 = 2634713300967
BaseRepresentation
bin1000010000111010100…
…0010101101101000000
3111120110210020121210000
42010032220111231000
54311233210021243
6145120250440000
713154244534060
oct2041650255500
9446423217700
10141979376448
1155238724a48
1223624733000
1310508998170
146c2c4793a0
153a5e8ad5d3
hex210ea15b40

141979376448 has 280 divisors, whose sum is σ = 517997228672. Its totient is φ = 37444985856.

The previous prime is 141979376393. The next prime is 141979376471. The reversal of 141979376448 is 844673979141.

141979376448 is a `hidden beast` number, since 14 + 1 + 97 + 93 + 7 + 6 + 448 = 666.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321261 + ... + 622227.

Almost surely, 2141979376448 is an apocalyptic number.

141979376448 is a gapful number since it is divisible by the number (18) 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 141979376448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258998614336).

141979376448 is an abundant number, since it is smaller than the sum of its proper divisors (376017852224).

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

141979376448 is a wasteful number, since it uses less digits than its factorization.

141979376448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301011 (or 300992 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 141979376448 in words is "one hundred forty-one billion, nine hundred seventy-nine million, three hundred seventy-six thousand, four hundred forty-eight".