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141244508160 = 21137571753
BaseRepresentation
bin1000001110001011010…
…1000010100000000000
3111111120120110110000000
42003202311002200000
54303232043230120
6144515320000000
713130112336660
oct2034265024000
9444516413000
10141244508160
11549a092a588
122345a600000
131041c66ac62
146b9ca261a0
153a1a0ee990
hex20e2d42800

141244508160 has 1536 divisors, whose sum is σ = 626664729600. Its totient is φ = 29812064256.

The previous prime is 141244508159. The next prime is 141244508161. The reversal of 141244508160 is 61805442141.

141244508160 is a `hidden beast` number, since 1 + 4 + 124 + 450 + 81 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141244508159) and next prime (141244508161).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1412445081602 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141244508161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2664990694 + ... + 2664990746.

It is an arithmetic number, because the mean of its divisors is an integer number (407984850).

Almost surely, 2141244508160 is an apocalyptic number.

141244508160 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 141244508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313332364800).

141244508160 is an abundant number, since it is smaller than the sum of its proper divisors (485420221440).

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

141244508160 is an frugal number, since it uses more digits than its factorization.

141244508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 141244508160 in words is "one hundred forty-one billion, two hundred forty-four million, five hundred eight thousand, one hundred sixty".