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143400999456 = 2533111321937127
BaseRepresentation
bin1000010110001101011…
…1011001101000100000
3111201010212021112221000
42011203113121220200
54322141123440311
6145513313032000
713234416245421
oct2054327315040
9451125245830
10143400999456
11558a81423a0
1223960855600
13106a4377a00
146d251b9648
153ae45c5056
hex21635d9a20

143400999456 has 1152 divisors, whose sum is σ = 538339737600. Its totient is φ = 36682813440.

The previous prime is 143400999451. The next prime is 143400999461. The reversal of 143400999456 is 654999004341.

It is a happy number.

143400999456 is a `hidden beast` number, since 14 + 3 + 400 + 99 + 94 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (143400999451) and next prime (143400999461).

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 (143400999451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1129141665 + ... + 1129141791.

It is an arithmetic number, because the mean of its divisors is an integer number (467308800).

Almost surely, 2143400999456 is an apocalyptic number.

143400999456 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 143400999456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269169868800).

143400999456 is an abundant number, since it is smaller than the sum of its proper divisors (394938738144).

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

143400999456 is a wasteful number, since it uses less digits than its factorization.

143400999456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 143400999456 in words is "one hundred forty-three billion, four hundred million, nine hundred ninety-nine thousand, four hundred fifty-six".