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10143400344 = 23371119307941
BaseRepresentation
bin10010111001001100…
…00000000110011000
3222011220121010102020
421130212000012120
5131233202302334
64354304134440
7506235323520
oct113446000630
928156533366
1010143400344
1143357598a0
121b71007420
13c5861844c
146c3210680
153e5786e49
hex25c980198

10143400344 has 256 divisors, whose sum is σ = 33423667200. Its totient is φ = 2485209600.

The previous prime is 10143400327. The next prime is 10143400349. The reversal of 10143400344 is 44300434101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143400349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10778914 + ... + 10779854.

It is an arithmetic number, because the mean of its divisors is an integer number (130561200).

Almost surely, 210143400344 is an apocalyptic number.

10143400344 is a gapful number since it is divisible by the number (14) 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 10143400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16711833600).

10143400344 is an abundant number, since it is smaller than the sum of its proper divisors (23280266856).

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

10143400344 is a wasteful number, since it uses less digits than its factorization.

10143400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10143400344 its reverse (44300434101), we get a palindrome (54443834445).

The spelling of 10143400344 in words is "ten billion, one hundred forty-three million, four hundred thousand, three hundred forty-four".