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1252143897840 = 243451131896367
BaseRepresentation
bin10010001110001001100…
…101111001110011110000
311102201000001122120120000
4102032021211321303300
5131003342314212330
62355121005150000
7156315202343553
oct22161145716360
94381001576500
101252143897840
11443038650340
1218281055b300
13910cc575324
144486589069a
15228878b9560
hex12389979cf0

1252143897840 has 800 divisors, whose sum is σ = 4953077268480. Its totient is φ = 290411827200.

The previous prime is 1252143897821. The next prime is 1252143897913. The reversal of 1252143897840 is 487983412521.

1252143897840 is a `hidden beast` number, since 1 + 2 + 5 + 214 + 389 + 7 + 8 + 40 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 196658337 + ... + 196664703.

Almost surely, 21252143897840 is an apocalyptic number.

1252143897840 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 1252143897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476538634240).

1252143897840 is an abundant number, since it is smaller than the sum of its proper divisors (3700933370640).

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

1252143897840 is a wasteful number, since it uses less digits than its factorization.

1252143897840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6508 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1252143897840 in words is "one trillion, two hundred fifty-two billion, one hundred forty-three million, eight hundred ninety-seven thousand, eight hundred forty".