Search a number
-
+
10314044623360 = 29530371326613
BaseRepresentation
bin1001011000010110110011…
…1101110100101000000000
31100112000100111121001220001
42112011230331310220000
52322441130410421420
633534112351125344
72113110432530512
oct226055475645000
940460314531801
1010314044623360
113317186337765
1211a6b20813854
1359a7c18bb04a
142792b9641bb2
1512d45a5ebb0a
hex9616cf74a00

10314044623360 has 80 divisors (see below), whose sum is σ = 24737694951816. Its totient is φ = 4124256288768.

The previous prime is 10314044623357. The next prime is 10314044623423. The reversal of 10314044623360 is 6332644041301.

It can be written as a sum of positive squares in 4 ways, for example, as 10313963479296 + 81144064 = 3211536^2 + 9008^2 .

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

It is a super-2 number, since 2×103140446233602 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7111414 + ... + 8438026.

Almost surely, 210314044623360 is an apocalyptic number.

10314044623360 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 10314044623360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368847475908).

10314044623360 is an abundant number, since it is smaller than the sum of its proper divisors (14423650328456).

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

10314044623360 is an equidigital number, since it uses as much as digits as its factorization.

10314044623360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329673 (or 1329657 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

Adding to 10314044623360 its reverse (6332644041301), we get a palindrome (16646688664661).

The spelling of 10314044623360 in words is "ten trillion, three hundred fourteen billion, forty-four million, six hundred twenty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3037 6074 12148 15185 24296 30370 48592 60740 97184 121480 194368 242960 388736 485920 777472 971840 1326613 1554944 1943680 2653226 3887360 5306452 6633065 7774720 10612904 13266130 21225808 26532260 42451616 53064520 84903232 106129040 169806464 212258080 339612928 424516160 679225856 849032320 1698064640 3396129280 4028923681 8057847362 16115694724 20144618405 32231389448 40289236810 64462778896 80578473620 128925557792 161156947240 257851115584 322313894480 515702231168 644627788960 1031404462336 1289255577920 2062808924672 2578511155840 5157022311680 10314044623360