Search a number
-
+
10314254632 = 2311716132693
BaseRepresentation
bin10011001101100011…
…10000100100101000
3222121211002102102211
421212301300210220
5132110422122012
64423250134504
7513411501133
oct114661604450
928554072384
1010314254632
114413145190
121bba281434
13c84b39566
146dbba721a
154057856a7
hex266c70928

10314254632 has 64 divisors (see below), whose sum is σ = 21437343360. Its totient is φ = 4613011200.

The previous prime is 10314254627. The next prime is 10314254659. The reversal of 10314254632 is 23645241301.

It is a super-2 number, since 2×103142546322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10314254594 and 10314254603.

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, 3828678 + ... + 3831370.

It is an arithmetic number, because the mean of its divisors is an integer number (334958490).

Almost surely, 210314254632 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 10314254632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10718671680).

10314254632 is an abundant number, since it is smaller than the sum of its proper divisors (11123088728).

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

10314254632 is a wasteful number, since it uses less digits than its factorization.

10314254632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10314254632 its reverse (23645241301), we get a palindrome (33959495933).

The spelling of 10314254632 in words is "ten billion, three hundred fourteen million, two hundred fifty-four thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 613 781 1226 1562 2452 2693 3124 4904 5386 6248 6743 10772 13486 21544 26972 29623 43523 53944 59246 87046 118492 174092 191203 236984 348184 382406 478753 764812 957506 1529624 1650809 1915012 2103233 3301618 3830024 4206466 6603236 8412932 13206472 16825864 18158899 36317798 72635596 117207439 145271192 234414878 468829756 937659512 1289281829 2578563658 5157127316 10314254632