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141859553472000 = 293453731317192
BaseRepresentation
bin100000010000010101000000…
…010010101110111000000000
3200121021122022012011112120000
4200100111000102232320000
5122043211331142101000
61221413213523320000
741611004660016000
oct4020250022567000
9617248265145500
10141859553472000
1141223331733891
1213ab13b9520000
1361203b5a30520
142706079116000
15116015c493000
hex8105404aee00

141859553472000 has 9600 divisors, whose sum is σ = 741602371910400. Its totient is φ = 26687530598400.

The previous prime is 141859553471971. The next prime is 141859553472001. The reversal of 141859553472000 is 274355958141.

141859553472000 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 5 + 95 + 5 + 347 + 200 + 0 = 666.

141859553472000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9600).

It is a super-2 number, since 2×1418595534720002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141859553472001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 7466292287991 + ... + 7466292288009.

It is an arithmetic number, because the mean of its divisors is an integer number (77250247074).

Almost surely, 2141859553472000 is an apocalyptic number.

141859553472000 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 141859553472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370801185955200).

141859553472000 is an abundant number, since it is smaller than the sum of its proper divisors (599742818438400).

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

141859553472000 is an equidigital number, since it uses as much as digits as its factorization.

141859553472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 141859553472000 in words is "one hundred forty-one trillion, eight hundred fifty-nine billion, five hundred fifty-three million, four hundred seventy-two thousand".