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10324104144 = 2435910093613
BaseRepresentation
bin10011001110101110…
…10101001111010000
3222122111121211102120
421213113111033100
5132120432313034
64424241214240
7513561302664
oct114727251720
928574554376
1010324104144
114418762282
122001631380
13c86ba7783
146dd20c8a4
1540657dc49
hex2675d53d0

10324104144 has 80 divisors (see below), whose sum is σ = 27157041600. Its totient is φ = 3378751488.

The previous prime is 10324104143. The next prime is 10324104173. The reversal of 10324104144 is 44140142301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10324104143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2855682 + ... + 2859294.

It is an arithmetic number, because the mean of its divisors is an integer number (339463020).

Almost surely, 210324104144 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 10324104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578520800).

10324104144 is an abundant number, since it is smaller than the sum of its proper divisors (16832937456).

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

10324104144 is a wasteful number, since it uses less digits than its factorization.

10324104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10324104144 its reverse (44140142301), we get a palindrome (54464246445).

The spelling of 10324104144 in words is "ten billion, three hundred twenty-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1009 1416 2018 2832 3027 3613 4036 6054 7226 8072 10839 12108 14452 16144 21678 24216 28904 43356 48432 57808 59531 86712 119062 173424 178593 213167 238124 357186 426334 476248 639501 714372 852668 952496 1279002 1428744 1705336 2558004 2857488 3410672 3645517 5116008 7291034 10232016 10936551 14582068 21873102 29164136 43746204 58328272 87492408 174984816 215085503 430171006 645256509 860342012 1290513018 1720684024 2581026036 3441368048 5162052072 10324104144