Search a number
-
+
14022403060 = 22529613071291
BaseRepresentation
bin11010000111100110…
…01110001111110100
31100012020121212210111
431003303032033310
5212204213344220
610235232432404
71004326313401
oct150363161764
940166555714
1014022403060
115a4630aa66
1228740a8704
131426154023
149704692a8
155710ab15a
hex343cce3f4

14022403060 has 96 divisors (see below), whose sum is σ = 31086760320. Its totient is φ = 5305305600.

The previous prime is 14022403039. The next prime is 14022403061. The reversal of 14022403060 is 6030422041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022403061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10861015 + ... + 10862305.

It is an arithmetic number, because the mean of its divisors is an integer number (323820420).

Almost surely, 214022403060 is an apocalyptic number.

14022403060 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 14022403060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543380160).

14022403060 is an abundant number, since it is smaller than the sum of its proper divisors (17064357260).

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

14022403060 is a wasteful number, since it uses less digits than its factorization.

14022403060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 14022403060 in words is "fourteen billion, twenty-two million, four hundred three thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 307 580 610 614 1220 1228 1291 1535 1769 2582 3070 3538 5164 6140 6455 7076 8845 8903 12910 17690 17806 18727 25820 35380 35612 37439 37454 44515 74878 74908 78751 89030 93635 149756 157502 178060 187195 187270 315004 374390 374540 393755 396337 543083 748780 787510 792674 1086166 1575020 1585348 1981685 2172332 2283779 2715415 3963370 4567558 5430830 7926740 9135116 10861660 11418895 11493773 22837790 22987546 24176557 45675580 45975092 48353114 57468865 96706228 114937730 120882785 229875460 241765570 483531140 701120153 1402240306 2804480612 3505600765 7011201530 14022403060