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10315323440 = 2451913948823
BaseRepresentation
bin10011001101101011…
…10101100000110000
3222121220002201120022
421212311311200300
5132111210322230
64423325103012
7513423542162
oct114665654060
928556081508
1010315323440
1144138051a4
121bba6b7a68
13c85121ba6
146dbda4932
154058e71e5
hex266d75830

10315323440 has 80 divisors (see below), whose sum is σ = 25427539200. Its totient is φ = 3880763136.

The previous prime is 10315323433. The next prime is 10315323457. The reversal of 10315323440 is 4432351301.

It is a tau number, because it is divible by the number of its divisors (80).

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, 186869 + ... + 235691.

It is an arithmetic number, because the mean of its divisors is an integer number (317844240).

Almost surely, 210315323440 is an apocalyptic number.

10315323440 is a gapful number since it is divisible by the number (10) 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 10315323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12713769600).

10315323440 is an abundant number, since it is smaller than the sum of its proper divisors (15112215760).

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

10315323440 is a wasteful number, since it uses less digits than its factorization.

10315323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48994 (or 48988 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 10315323440 its reverse (4432351301), we get a palindrome (14747674741).

The spelling of 10315323440 in words is "ten billion, three hundred fifteen million, three hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 139 152 190 278 304 380 556 695 760 1112 1390 1520 2224 2641 2780 5282 5560 10564 11120 13205 21128 26410 42256 48823 52820 97646 105640 195292 211280 244115 390584 488230 781168 927637 976460 1855274 1952920 3710548 3905840 4638185 6786397 7421096 9276370 13572794 14842192 18552740 27145588 33931985 37105480 54291176 67863970 74210960 108582352 128941543 135727940 257883086 271455880 515766172 542911760 644707715 1031532344 1289415430 2063064688 2578830860 5157661720 10315323440