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143138607040 = 26511136746687
BaseRepresentation
bin1000010101001110111…
…0011100111111000000
3111200110120112122012101
42011103232130333000
54321121440411130
6145431301040144
713225052041102
oct2052356347700
9450416478171
10143138607040
1155783015060
12238a89b6054
1310661bb6820
146cdc3d5572
153acb5441ca
hex2153b9cfc0

143138607040 has 224 divisors, whose sum is σ = 406423148544. Its totient is φ = 47328399360.

The previous prime is 143138607011. The next prime is 143138607041. The reversal of 143138607040 is 40706831341.

143138607040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143138607041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3042577 + ... + 3089263.

It is an arithmetic number, because the mean of its divisors is an integer number (1814389056).

Almost surely, 2143138607040 is an apocalyptic number.

143138607040 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 143138607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203211574272).

143138607040 is an abundant number, since it is smaller than the sum of its proper divisors (263284541504).

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

143138607040 is a wasteful number, since it uses less digits than its factorization.

143138607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46795 (or 46785 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 143138607040 in words is "one hundred forty-three billion, one hundred thirty-eight million, six hundred seven thousand, forty".