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2143098786240 = 263351997134587
BaseRepresentation
bin11111001011111010101…
…001000101000111000000
321120212201020110101022000
4133023322221011013000
5240103031242124430
64320305340344000
7310555662055416
oct37137251050700
97525636411260
102143098786240
11756979437995
122a741b545000
1312712a117a99
1475a2587b2b6
153ab30ca7e60
hex1f2faa451c0

2143098786240 has 448 divisors, whose sum is σ = 8040394790400. Its totient is φ = 535828856832.

The previous prime is 2143098786217. The next prime is 2143098786281. The reversal of 2143098786240 is 426878903412.

2143098786240 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 0 + 9 + 8 + 7 + 8 + 624 + 0 = 666.

It is a super-2 number, since 2×21430987862402 (a number of 25 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15856227 + ... + 15990813.

It is an arithmetic number, because the mean of its divisors is an integer number (17947309800).

Almost surely, 22143098786240 is an apocalyptic number.

2143098786240 is a gapful number since it is divisible by the number (20) 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 2143098786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020197395200).

2143098786240 is an abundant number, since it is smaller than the sum of its proper divisors (5897296004160).

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

2143098786240 is a wasteful number, since it uses less digits than its factorization.

2143098786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134729 (or 134713 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2143098786240 in words is "two trillion, one hundred forty-three billion, ninety-eight million, seven hundred eighty-six thousand, two hundred forty".