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141795498240 = 28335111967293
BaseRepresentation
bin1000010000001110101…
…0111001100100000000
3111112222222020122022000
42010003222321210000
54310344121420430
6145050121344000
713146552564024
oct2040352714400
9445888218260
10141795498240
1155153953590
1223593038000
13104a9866ca6
146c11c92384
153a4d68ae60
hex2103ab9900

141795498240 has 1152 divisors, whose sum is σ = 588436531200. Its totient is φ = 31969935360.

The previous prime is 141795498223. The next prime is 141795498241. The reversal of 141795498240 is 42894597141.

141795498240 is a `hidden beast` number, since 1 + 4 + 1 + 79 + 549 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1417954982402 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (141795498241) 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 127 ways as a sum of consecutive naturals, for example, 483943534 + ... + 483943826.

It is an arithmetic number, because the mean of its divisors is an integer number (510795600).

Almost surely, 2141795498240 is an apocalyptic number.

141795498240 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 141795498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294218265600).

141795498240 is an abundant number, since it is smaller than the sum of its proper divisors (446641032960).

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

141795498240 is a wasteful number, since it uses less digits than its factorization.

141795498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 141795498240 in words is "one hundred forty-one billion, seven hundred ninety-five million, four hundred ninety-eight thousand, two hundred forty".