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10144304430 = 23513217373181
BaseRepresentation
bin10010111001010010…
…11100110100101110
3222011222022001120220
421130221130310232
5131233420220210
64354335352210
7506246110401
oct113451346456
928158261526
1010144304430
114336217077
121b71382666
13c58873b00
146c33a7d38
153e58b4c70
hex25ca5cd2e

10144304430 has 192 divisors, whose sum is σ = 28677405888. Its totient is φ = 2285936640.

The previous prime is 10144304377. The next prime is 10144304449. The reversal of 10144304430 is 3440344101.

It is a self number, because there is not a number n which added to its sum of digits gives 10144304430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3187440 + ... + 3190620.

It is an arithmetic number, because the mean of its divisors is an integer number (149361489).

Almost surely, 210144304430 is an apocalyptic number.

10144304430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338702944).

10144304430 is an abundant number, since it is smaller than the sum of its proper divisors (18533101458).

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

10144304430 is a wasteful number, since it uses less digits than its factorization.

10144304430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3271 (or 3258 counting only the distinct ones).

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

Adding to 10144304430 its reverse (3440344101), we get a palindrome (13584648531).

The spelling of 10144304430 in words is "ten billion, one hundred forty-four million, three hundred four thousand, four hundred thirty".