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14000226332180 = 22511246750515107
BaseRepresentation
bin1100101110111010111010…
…0001000110111000010100
31211120102000211210211010212
43023232232201012320110
53313334430420112210
645435340514104552
72643324442216124
oct313565641067024
954512024724125
1014000226332180
11450850a863380
1216a140757b158
137a72a5aca90a
14365886546c84
151942a0c09805
hexcbbae846e14

14000226332180 has 96 divisors (see below), whose sum is σ = 32098883185152. Its totient is φ = 5086923984000.

The previous prime is 14000226332179. The next prime is 14000226332189. The reversal of 14000226332180 is 8123362200041.

14000226332180 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 (14000226332189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2741377187 + ... + 2741382293.

It is an arithmetic number, because the mean of its divisors is an integer number (334363366512).

Almost surely, 214000226332180 is an apocalyptic number.

14000226332180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14000226332180 is an abundant number, since it is smaller than the sum of its proper divisors (18098656852972).

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

14000226332180 is a wasteful number, since it uses less digits than its factorization.

14000226332180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12645 (or 12643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 14000226332180 in words is "fourteen trillion, two hundred twenty-six million, three hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2467 4934 5051 5107 9868 10102 10214 12335 20204 20428 24670 25255 25535 27137 49340 50510 51070 54274 55561 56177 101020 102140 108548 111122 112354 135685 222244 224708 271370 277805 280885 542740 555610 561770 1111220 1123540 12460817 12598969 24921634 25197938 25795457 49843268 50395876 51590914 62304085 62994845 103181828 124608170 125989690 128977285 137068987 138588659 249216340 251979380 257954570 274137974 277177318 283750027 515909140 548275948 554354636 567500054 685344935 692943295 1135000108 1370689870 1385886590 1418750135 2741379740 2771773180 2837500270 5675000540 63637392419 127274784838 254549569676 318186962095 636373924190 700011316609 1272747848380 1400022633218 2800045266436 3500056583045 7000113166090 14000226332180