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10144302444 = 223223113108421
BaseRepresentation
bin10010111001010010…
…11100010101101100
3222011222021221212100
421130221130111230
5131233420134234
64354335335100
7506246101533
oct113451342554
928158257770
1010144302444
114336215631
121b71381490
13c58872c33
146c33a731a
153e58b4399
hex25ca5c56c

10144302444 has 72 divisors (see below), whose sum is σ = 26994475872. Its totient is φ = 3205762560.

The previous prime is 10144302409. The next prime is 10144302517. The reversal of 10144302444 is 44420344101.

10144302444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39354 + ... + 147774.

It is an arithmetic number, because the mean of its divisors is an integer number (374923276).

Almost surely, 210144302444 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 10144302444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497237936).

10144302444 is an abundant number, since it is smaller than the sum of its proper divisors (16850173428).

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

10144302444 is a wasteful number, since it uses less digits than its factorization.

10144302444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108567 (or 108562 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10144302444 its reverse (44420344101), we get a palindrome (54564646545).

The spelling of 10144302444 in words is "ten billion, one hundred forty-four million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 113 138 207 226 276 339 414 452 678 828 1017 1356 2034 2599 4068 5198 7797 10396 15594 23391 31188 46782 93564 108421 216842 325263 433684 650526 975789 1301052 1951578 2493683 3903156 4987366 7481049 9974732 12251573 14962098 22443147 24503146 29924196 36754719 44886294 49006292 73509438 89772588 110264157 147018876 220528314 281786179 441056628 563572358 845358537 1127144716 1690717074 2536075611 3381434148 5072151222 10144302444