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141358107744 = 253577179463
BaseRepresentation
bin1000001110100110011…
…0011000110001100000
3111111212111012220100000
42003221212120301200
54304000133421434
6144534454500000
713132662043050
oct2035146306140
9444774186300
10141358107744
1154a49a6a637
1223490664600
131043a063849
146badb57560
153a2508db99
hex20e9998c60

141358107744 has 576 divisors, whose sum is σ = 490311843840. Its totient is φ = 39230231040.

The previous prime is 141358107731. The next prime is 141358107749. The reversal of 141358107744 is 447701853141.

141358107744 is a `hidden beast` number, since 14 + 13 + 581 + 0 + 7 + 7 + 44 = 666.

It is a super-2 number, since 2×1413581077442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141358107744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141358107749) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305308857 + ... + 305309319.

It is an arithmetic number, because the mean of its divisors is an integer number (851235840).

Almost surely, 2141358107744 is an apocalyptic number.

141358107744 is a gapful number since it is divisible by the number (14) 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 141358107744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245155921920).

141358107744 is an abundant number, since it is smaller than the sum of its proper divisors (348953736096).

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

141358107744 is an equidigital number, since it uses as much as digits as its factorization.

141358107744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 141358107744 in words is "one hundred forty-one billion, three hundred fifty-eight million, one hundred seven thousand, seven hundred forty-four".