Search a number
-
+
141394619520 = 273357211171947
BaseRepresentation
bin1000001110101111000…
…1101010110010000000
3111111222000220220002000
42003223301222302000
54304034010311040
6144542241224000
713133614302300
oct2035361526200
9444860826060
10141394619520
1154a68638460
12234a0932000
13104447a874b
146bb493d600
153a283a2130
hex20ebc6ac80

141394619520 has 3072 divisors, whose sum is σ = 723354624000. Its totient is φ = 25639649280.

The previous prime is 141394619489. The next prime is 141394619543. The reversal of 141394619520 is 25916493141.

141394619520 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 9 + 4 + 619 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3008396137 + ... + 3008396183.

It is an arithmetic number, because the mean of its divisors is an integer number (235467000).

Almost surely, 2141394619520 is an apocalyptic number.

141394619520 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 141394619520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361677312000).

141394619520 is an abundant number, since it is smaller than the sum of its proper divisors (581960004480).

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

141394619520 is a wasteful number, since it uses less digits than its factorization.

141394619520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 141394619520 in words is "one hundred forty-one billion, three hundred ninety-four million, six hundred nineteen thousand, five hundred twenty".