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14200000854 = 23131943443503
BaseRepresentation
bin11010011100110001…
…01101000101010110
31100122121210210011120
431032120231011112
5213040200011404
610305015144410
71011614005254
oct151630550526
940577723146
1014200000854
1160275918a6
122903675106
131453b96690
14989c995d4
1558198c9d9
hex34e62d156

14200000854 has 128 divisors (see below), whose sum is σ = 33083043840. Its totient is φ = 4025863296.

The previous prime is 14200000853. The next prime is 14200000883. The reversal of 14200000854 is 45800000241.

14200000854 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 not an unprimeable number, because it can be changed into a prime (14200000853) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 28230367 + ... + 28230869.

It is an arithmetic number, because the mean of its divisors is an integer number (258461280).

Almost surely, 214200000854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200000854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541521920).

14200000854 is an abundant number, since it is smaller than the sum of its proper divisors (18883042986).

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

14200000854 is a wasteful number, since it uses less digits than its factorization.

14200000854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026.

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 14200000854 in words is "fourteen billion, two hundred million, eight hundred fifty-four", and thus it is an aban number.

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 247 258 443 494 503 559 741 817 886 1006 1118 1329 1482 1509 1634 1677 2451 2658 3018 3354 4902 5759 6539 8417 9557 10621 11518 13078 16834 17277 19049 19114 19617 21242 21629 25251 28671 31863 34554 38098 39234 43258 50502 57147 57342 63726 64887 109421 114294 124241 129774 218842 222829 247637 248482 281177 328263 361931 372723 410951 445658 495274 562354 656526 668487 723862 742911 745446 821902 843531 1085793 1232853 1336974 1485822 1687062 2171586 2465706 2896777 4233751 4705103 5342363 5793554 8467502 8690331 9410206 9581647 10684726 12701253 14115309 16027089 17380662 19163294 25402506 28230618 28744941 32054178 55038763 57489882 110077526 124561411 165116289 182051293 249122822 330232578 364102586 373684233 546153879 747368466 1092307758 2366666809 4733333618 7100000427 14200000854