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141928250720256 = 21438711131319
BaseRepresentation
bin100000010001010100111110…
…111101111100000000000000
3200121112012121211011100000000
4200101110332331330000000
5122100323024141022011
61221504534400000000
741615656235004420
oct4021247675740000
9617465554140000
10141928250720256
114124a484519220
1213b02790000000
136126a132b8550
142709514ad2480
151161d2d51d356
hex81153ef7c000

141928250720256 has 2160 divisors, whose sum is σ = 572069920181760. Its totient is φ = 34002952519680.

The previous prime is 141928250720237. The next prime is 141928250720261. The reversal of 141928250720256 is 652027052829141.

141928250720256 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 2 + 82 + 507 + 2 + 0 + 2 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107602918765 + ... + 107602920083.

Almost surely, 2141928250720256 is an apocalyptic number.

141928250720256 is a gapful number since it is divisible by the number (16) 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 141928250720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286034960090880).

141928250720256 is an abundant number, since it is smaller than the sum of its proper divisors (430141669461504).

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

141928250720256 is an frugal number, since it uses more digits than its factorization.

141928250720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 141928250720256 in words is "one hundred forty-one trillion, nine hundred twenty-eight billion, two hundred fifty million, seven hundred twenty thousand, two hundred fifty-six".