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10144323150 = 23521316731151
BaseRepresentation
bin10010111001010011…
…00001011001001110
3222011222100000021020
421130221201121032
5131233421320100
64354340015010
7506246216103
oct113451413116
928158300236
1010144323150
11433622a145
121b71391466
13c5887c4a0
146c33b0aaa
153e58ba5a0
hex25ca6164e

10144323150 has 96 divisors (see below), whose sum is σ = 27256255488. Its totient is φ = 2482032000.

The previous prime is 10144323149. The next prime is 10144323239. The reversal of 10144323150 is 5132344101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10144323150.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310075 + ... + 341225.

It is an arithmetic number, because the mean of its divisors is an integer number (283919328).

Almost surely, 210144323150 is an apocalyptic number.

10144323150 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 10144323150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628127744).

10144323150 is an abundant number, since it is smaller than the sum of its proper divisors (17111932338).

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

10144323150 is a wasteful number, since it uses less digits than its factorization.

10144323150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31346 (or 31341 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10144323150 its reverse (5132344101), we get a palindrome (15276667251).

The spelling of 10144323150 in words is "ten billion, one hundred forty-four million, three hundred twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 167 195 325 334 390 501 650 835 975 1002 1670 1950 2171 2505 4175 4342 5010 6513 8350 10855 12525 13026 21710 25050 31151 32565 54275 62302 65130 93453 108550 155755 162825 186906 311510 325650 404963 467265 778775 809926 934530 1214889 1557550 2024815 2336325 2429778 4049630 4672650 5202217 6074445 10124075 10404434 12148890 15606651 20248150 26011085 30372225 31213302 52022170 60744450 67628821 78033255 130055425 135257642 156066510 202886463 260110850 338144105 390166275 405772926 676288210 780332550 1014432315 1690720525 2028864630 3381441050 5072161575 10144323150