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10144454424 = 23313239136043
BaseRepresentation
bin10010111001010100…
…00001011100011000
3222011222120200100020
421130222001130120
5131233440020144
64354342510440
7506250303606
oct113452013430
928158520306
1010144454424
114336309835
121b71435420
13c588c7170
146c3406876
153e58e4419
hex25ca81718

10144454424 has 64 divisors (see below), whose sum is σ = 27426470400. Its totient is φ = 3108287616.

The previous prime is 10144454399. The next prime is 10144454473. The reversal of 10144454424 is 42445444101.

It is a super-2 number, since 2×101444544242 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6547 + ... + 142589.

It is an arithmetic number, because the mean of its divisors is an integer number (428538600).

Almost surely, 210144454424 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 10144454424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13713235200).

10144454424 is an abundant number, since it is smaller than the sum of its proper divisors (17282015976).

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

10144454424 is a wasteful number, since it uses less digits than its factorization.

10144454424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136304 (or 136300 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 10144454424 its reverse (42445444101), we get a palindrome (52589898525).

The spelling of 10144454424 in words is "ten billion, one hundred forty-four million, four hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 239 312 478 717 956 1434 1912 2868 3107 5736 6214 9321 12428 18642 24856 37284 74568 136043 272086 408129 544172 816258 1088344 1632516 1768559 3265032 3537118 5305677 7074236 10611354 14148472 21222708 32514277 42445416 65028554 97542831 130057108 195085662 260114216 390171324 422685601 780342648 845371202 1268056803 1690742404 2536113606 3381484808 5072227212 10144454424