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141225336000 = 26335372331131
BaseRepresentation
bin1000001110000110101…
…1111001110011000000
3111111112020101101202000
42003201223321303000
54303212141223000
6144513353024000
713126460356320
oct2034153716300
9444466341660
10141225336000
1154991025221
12234540b5000
13104186b7598
146b9a275280
153a185b4000
hex20e1af9cc0

141225336000 has 1792 divisors, whose sum is σ = 642707619840. Its totient is φ = 29652480000.

The previous prime is 141225335989. The next prime is 141225336029. The reversal of 141225336000 is 633522141.

141225336000 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 2 + 53 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1078055935 + ... + 1078056065.

Almost surely, 2141225336000 is an apocalyptic number.

141225336000 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 141225336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321353809920).

141225336000 is an abundant number, since it is smaller than the sum of its proper divisors (501482283840).

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

141225336000 is a wasteful number, since it uses less digits than its factorization.

141225336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 141225336000 its reverse (633522141), we get a palindrome (141858858141).

The spelling of 141225336000 in words is "one hundred forty-one billion, two hundred twenty-five million, three hundred thirty-six thousand".