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10442313414 = 23213434872131
BaseRepresentation
bin10011011100110100…
…10000111011000110
3222221202001111001200
421232122100323012
5132341213012124
64444103003330
7516525125301
oct115632207306
928852044050
1010442313414
114479460695
122035139546
13ca55255a0
14710bbdb38
15411b2dbc9
hex26e690ec6

10442313414 has 96 divisors (see below), whose sum is σ = 24994953984. Its totient is φ = 3130384320.

The previous prime is 10442313403. The next prime is 10442313433. The reversal of 10442313414 is 41431324401.

10442313414 is a `hidden beast` number, since 10 + 4 + 4 + 231 + 3 + 414 = 666.

10442313414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4899129 + ... + 4901259.

It is an arithmetic number, because the mean of its divisors is an integer number (260364104).

Almost surely, 210442313414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442313414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497476992).

10442313414 is an abundant number, since it is smaller than the sum of its proper divisors (14552640570).

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

10442313414 is a wasteful number, since it uses less digits than its factorization.

10442313414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10442313414 its reverse (41431324401), we get a palindrome (51873637815).

The spelling of 10442313414 in words is "ten billion, four hundred forty-two million, three hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 387 487 559 774 974 1118 1461 1677 2131 2922 3354 4262 4383 5031 6331 6393 8766 10062 12662 12786 18993 19179 20941 27703 37986 38358 41882 55406 56979 62823 83109 91633 113958 125646 166218 183266 188469 249327 272233 274899 376938 498654 544466 549798 816699 824697 1037797 1191229 1633398 1649394 2075594 2382458 2450097 3113391 3573687 4900194 6226782 7147374 9340173 10721061 13491361 18680346 21442122 26982722 40474083 44625271 80948166 89250542 121422249 133875813 242844498 267751626 401627439 580128523 803254878 1160257046 1740385569 3480771138 5221156707 10442313414