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10024323144 = 23311157367659
BaseRepresentation
bin10010101010111111…
…10000100001001000
3221212121112101012120
421111133300201020
5131012211320034
64334412011240
7503261224623
oct112537604110
927777471176
1010024323144
114284518390
121b39160b20
13c39a55574
146b1494dba
153da0b4c49
hex2557f0848

10024323144 has 128 divisors (see below), whose sum is σ = 27630028800. Its totient is φ = 3005533440.

The previous prime is 10024323131. The next prime is 10024323149. The reversal of 10024323144 is 44132342001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10024323149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15211087 + ... + 15211745.

It is an arithmetic number, because the mean of its divisors is an integer number (215859600).

Almost surely, 210024323144 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 10024323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815014400).

10024323144 is an abundant number, since it is smaller than the sum of its proper divisors (17605705656).

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

10024323144 is a wasteful number, since it uses less digits than its factorization.

10024323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10024323144 its reverse (44132342001), we get a palindrome (54156665145).

The spelling of 10024323144 in words is "ten billion, twenty-four million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 367 471 628 659 734 942 1101 1256 1318 1468 1727 1884 1977 2202 2636 2936 3454 3768 3954 4037 4404 5181 5272 6908 7249 7908 8074 8808 10362 12111 13816 14498 15816 16148 20724 21747 24222 28996 32296 41448 43494 48444 57619 57992 86988 96888 103463 115238 172857 173976 206926 230476 241853 310389 345714 413852 460952 483706 620778 633809 691428 725559 827704 967412 1138093 1241556 1267618 1382856 1451118 1901427 1934824 2276186 2483112 2535236 2660383 2902236 3414279 3802854 4552372 5070472 5320766 5804472 6828558 7605708 7981149 9104744 10641532 13657116 15211416 15962298 21283064 27314232 31924596 37970921 63849192 75941842 113912763 151883684 227825526 303767368 417680131 455651052 835360262 911302104 1253040393 1670720524 2506080786 3341441048 5012161572 10024323144