Search a number
-
+
141035164139520 = 21834572337223
BaseRepresentation
bin100000000100010101001110…
…110111000000000000000000
3200111100211102002012100010000
4200010111032313000000000
5121441210004004431040
61215542354315040000
741464311562221240
oct4004251667000000
9614324362170100
10141035164139520
1140a3574a417672
1213999687140000
136090735c0c891
1426b81d1969b20
1511489ace07130
hex80454edc0000

141035164139520 has 3040 divisors, whose sum is σ = 622068991746048. Its totient is φ = 29867101913088.

The previous prime is 141035164139509. The next prime is 141035164139521. The reversal of 141035164139520 is 25931461530141.

141035164139520 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 51 + 6 + 41 + 39 + 520 = 666.

It is a super-2 number, since 2×1410351641395202 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141035164139521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 632444682129 + ... + 632444682351.

Almost surely, 2141035164139520 is an apocalyptic number.

141035164139520 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 141035164139520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311034495873024).

141035164139520 is an abundant number, since it is smaller than the sum of its proper divisors (481033827606528).

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

141035164139520 is an frugal number, since it uses more digits than its factorization.

141035164139520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 141035164139520 in words is "one hundred forty-one trillion, thirty-five billion, one hundred sixty-four million, one hundred thirty-nine thousand, five hundred twenty".