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143097936384 = 293131923331
BaseRepresentation
bin1000010101000101001…
…1010011101000000000
3111200100202000100112210
42011101103103220000
54321031032431014
6145423245222120
713224046250544
oct2052123235000
9450322010483
10143097936384
1155762066647
1223897261940
1310656646950
146cd6c49a24
153ac7bad859
hex21514d3a00

143097936384 has 640 divisors, whose sum is σ = 466370150400. Its totient is φ = 38612090880.

The previous prime is 143097936343. The next prime is 143097936389. The reversal of 143097936384 is 483639790341.

It is a super-4 number, since 4×1430979363844 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143097936389) 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 63 ways as a sum of consecutive naturals, for example, 4616062449 + ... + 4616062479.

It is an arithmetic number, because the mean of its divisors is an integer number (728703360).

Almost surely, 2143097936384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143097936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233185075200).

143097936384 is an abundant number, since it is smaller than the sum of its proper divisors (323272214016).

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

143097936384 is an equidigital number, since it uses as much as digits as its factorization.

143097936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 143097936384 in words is "one hundred forty-three billion, ninety-seven million, nine hundred thirty-six thousand, three hundred eighty-four".