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14210554016 = 252976919913
BaseRepresentation
bin11010011110000001…
…11101100010100000
31100200100122221101102
431033000331202200
5213100400212031
610310033253532
71012102500431
oct151700754240
940610587342
1014210554016
11603253a61a
1229071042a8
13145611cc59
1498b445488
155828747cb
hex34f03d8a0

14210554016 has 48 divisors (see below), whose sum is σ = 28980844200. Its totient is φ = 6851002368.

The previous prime is 14210553983. The next prime is 14210554027. The reversal of 14210554016 is 61045501241.

It can be written as a sum of positive squares in 4 ways, for example, as 7568304016 + 6642250000 = 86996^2 + 81500^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 14210554016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703676 + ... + 723588.

Almost surely, 214210554016 is an apocalyptic number.

14210554016 is a gapful number since it is divisible by the number (16) 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 14210554016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14490422100).

14210554016 is an abundant number, since it is smaller than the sum of its proper divisors (14770290184).

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

14210554016 is a wasteful number, since it uses less digits than its factorization.

14210554016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20721 (or 20713 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 14210554016 in words is "fourteen billion, two hundred ten million, five hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 769 928 1538 3076 6152 12304 19913 22301 24608 39826 44602 79652 89204 159304 178408 318608 356816 577477 637216 713632 1154954 2309908 4619816 9239632 15313097 18479264 30626194 61252388 122504776 245009552 444079813 490019104 888159626 1776319252 3552638504 7105277008 14210554016