Search a number
-
+
14971122960200 = 23521110167376791
BaseRepresentation
bin1101100111011011110001…
…1101110100011101001000
31222000020002022002202122222
43121312330131310131020
53430241324434211300
651501350002233212
73103425245332151
oct331667435643510
958006068082588
1014971122960200
114852243684130
121819606955808
13847a036b6c94
1439a86b664928
151ae677409785
hexd9dbc774748

14971122960200 has 96 divisors (see below), whose sum is σ = 38348174934720. Its totient is φ = 5390143200000.

The previous prime is 14971122960163. The next prime is 14971122960239. The reversal of 14971122960200 is 206922117941.

It is a super-2 number, since 2×149711229602002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33466196 + ... + 33910595.

It is an arithmetic number, because the mean of its divisors is an integer number (399460155570).

Almost surely, 214971122960200 is an apocalyptic number.

14971122960200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14971122960200 is an abundant number, since it is smaller than the sum of its proper divisors (23377051974520).

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

14971122960200 is a wasteful number, since it uses less digits than its factorization.

14971122960200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67376919 (or 67376910 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 14971122960200 in words is "fourteen trillion, nine hundred seventy-one billion, one hundred twenty-two million, nine hundred sixty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 200 202 220 275 404 440 505 550 808 1010 1100 1111 2020 2200 2222 2525 4040 4444 5050 5555 8888 10100 11110 20200 22220 27775 44440 55550 111100 222200 67376791 134753582 269507164 336883955 539014328 673767910 741144701 1347535820 1482289402 1684419775 2695071640 2964578804 3368839550 3705723505 5929157608 6737679100 6805055891 7411447010 13475358200 13610111782 14822894020 18528617525 27220223564 29645788040 34025279455 37057235050 54440447128 68050558910 74114470100 74855614801 136101117820 148228940200 149711229602 170126397275 272202235640 299422459204 340252794550 374278074005 598844918408 680505589100 748556148010 1361011178200 1497112296020 1871390370025 2994224592040 3742780740050 7485561480100 14971122960200