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10344041312 = 2511315471733
BaseRepresentation
bin10011010001000110…
…11000101101100000
3222200220010202002012
421220203120231200
5132141033310222
64430232412052
7514222620563
oct115043305540
928626122065
1010344041312
114428a3a380
122008247028
13c8b068407
14701b1c4da
154081bb1e2
hex2688d8b60

10344041312 has 96 divisors (see below), whose sum is σ = 22988012544. Its totient is φ = 4539225600.

The previous prime is 10344041311. The next prime is 10344041327. The reversal of 10344041312 is 21314044301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344041311) 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, 5967998 + ... + 5969730.

It is an arithmetic number, because the mean of its divisors is an integer number (239458464).

Almost surely, 210344041312 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 10344041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494006272).

10344041312 is an abundant number, since it is smaller than the sum of its proper divisors (12643971232).

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

10344041312 is a wasteful number, since it uses less digits than its factorization.

10344041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10344041312 its reverse (21314044301), we get a palindrome (31658085613).

The spelling of 10344041312 in words is "ten billion, three hundred forty-four million, forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 547 682 992 1094 1364 1733 2188 2728 3466 4376 5456 6017 6932 8752 10912 12034 13864 16957 17504 19063 24068 27728 33914 38126 48136 53723 55456 67828 76252 96272 107446 135656 152504 186527 192544 214892 271312 305008 373054 429784 542624 590953 610016 746108 859568 947951 1181906 1492216 1719136 1895902 2363812 2984432 3791804 4727624 5968864 7583608 9455248 10427461 15167216 18910496 20854922 29386481 30334432 41709844 58772962 83419688 117545924 166839376 235091848 323251291 333678752 470183696 646502582 940367392 1293005164 2586010328 5172020656 10344041312