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10142024304 = 2432916344699
BaseRepresentation
bin10010111001000001…
…10000001001110000
3222011211000012211210
421130200300021300
5131232324234204
64354214440120
7506220532656
oct113440601160
928154005753
1010142024304
1143349a9a75
121b70663040
13c58256019
146c2d72dd6
153e55b4389
hex25c830270

10142024304 has 80 divisors (see below), whose sum is σ = 27270576000. Its totient is φ = 3244002048.

The previous prime is 10142024287. The next prime is 10142024309. The reversal of 10142024304 is 40342024101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10142024309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204547 + ... + 249245.

It is an arithmetic number, because the mean of its divisors is an integer number (340882200).

Almost surely, 210142024304 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 10142024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13635288000).

10142024304 is an abundant number, since it is smaller than the sum of its proper divisors (17128551696).

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

10142024304 is a wasteful number, since it uses less digits than its factorization.

10142024304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44902 (or 44896 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10142024304 its reverse (40342024101), we get a palindrome (50484048405).

The spelling of 10142024304 in words is "ten billion, one hundred forty-two million, twenty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 163 174 232 326 348 464 489 652 696 978 1304 1392 1956 2608 3912 4727 7824 9454 14181 18908 28362 37816 44699 56724 75632 89398 113448 134097 178796 226896 268194 357592 536388 715184 1072776 1296271 2145552 2592542 3888813 5185084 7285937 7777626 10370168 14571874 15555252 20740336 21857811 29143748 31110504 43715622 58287496 62221008 87431244 116574992 174862488 211292173 349724976 422584346 633876519 845168692 1267753038 1690337384 2535506076 3380674768 5071012152 10142024304