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10144143324 = 2233716977907
BaseRepresentation
bin10010111001010001…
…10101011111011100
3222011221222212121000
421130220311133130
5131233400041244
64354332110300
7506244536610
oct113450653734
928157885530
1010144143324
114336117027
121b71305390
13c58818693
146c3365340
153e5882169
hex25ca357dc

10144143324 has 96 divisors (see below), whose sum is σ = 30078236160. Its totient is φ = 2896252416.

The previous prime is 10144143319. The next prime is 10144143329. The reversal of 10144143324 is 42334144101.

It is an interprime number because it is at equal distance from previous prime (10144143319) and next prime (10144143329).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144143329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1278979 + ... + 1286885.

It is an arithmetic number, because the mean of its divisors is an integer number (313314960).

Almost surely, 210144143324 is an apocalyptic number.

10144143324 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 10144143324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15039118080).

10144143324 is an abundant number, since it is smaller than the sum of its proper divisors (19934092836).

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

10144143324 is a wasteful number, since it uses less digits than its factorization.

10144143324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9624 (or 9616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10144143324 its reverse (42334144101), we get a palindrome (52478287425).

The spelling of 10144143324 in words is "ten billion, one hundred forty-four million, one hundred forty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1697 3394 5091 6788 7907 10182 11879 15273 15814 20364 23721 23758 30546 31628 35637 45819 47442 47516 55349 61092 71163 71274 91638 94884 106911 110698 142326 142548 166047 183276 213489 213822 221396 284652 320733 332094 426978 427644 498141 641466 664188 853956 996282 1282932 1494423 1992564 2988846 5977692 13418179 26836358 40254537 53672716 80509074 93927253 120763611 161018148 187854506 241527222 281781759 362290833 375709012 483054444 563563518 724581666 845345277 1127127036 1449163332 1690690554 2536035831 3381381108 5072071662 10144143324