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14413071738 = 2313318636907
BaseRepresentation
bin11010110110001011…
…00000010101111010
31101012110201220110210
431123011200111322
5214004221243423
610342110051550
71020112042212
oct153305402572
941173656423
1014413071738
11612689213a
122962aa9bb6
131489079220
149aa2c1242
15595529b93
hex35b16057a

14413071738 has 64 divisors (see below), whose sum is σ = 32086720512. Its totient is φ = 4286139840.

The previous prime is 14413071713. The next prime is 14413071763. The reversal of 14413071738 is 83717031441.

14413071738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14413071713) and next prime (14413071763).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 14413071696 and 14413071705.

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 31 ways as a sum of consecutive naturals, for example, 2083281 + ... + 2090187.

It is an arithmetic number, because the mean of its divisors is an integer number (501355008).

Almost surely, 214413071738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14413071738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16043360256).

14413071738 is an abundant number, since it is smaller than the sum of its proper divisors (17673648774).

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

14413071738 is a wasteful number, since it uses less digits than its factorization.

14413071738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7819.

The product of its (nonzero) digits is 56448, while the sum is 39.

The spelling of 14413071738 in words is "fourteen billion, four hundred thirteen million, seventy-one thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 863 1209 1726 2418 2589 5178 6907 11219 13814 20721 22438 26753 33657 41442 53506 67314 80259 89791 160518 179582 214117 269373 347789 428234 538746 642351 695578 1043367 1284702 2086734 2783521 5567042 5960741 8350563 11921482 16701126 17882223 35764446 77489633 154979266 184782971 232468899 369565942 464937798 554348913 1108697826 2402178623 4804357246 7206535869 14413071738