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14232242000000 = 27567116121
BaseRepresentation
bin1100111100011011001110…
…1110101001000010000000
31212101120220102012221110002
43033012303232221002000
53331140112423000000
650134111323055132
72666150136650423
oct317066356510200
955346812187402
1014232242000000
114597950636682
12171a3790714a8
137c312cc8381b
14372bb66499ba
1519a32ec128d5
hexcf1b3ba9080

14232242000000 has 112 divisors (see below), whose sum is σ = 35441169589410. Its totient is φ = 5692896000000.

The previous prime is 14232241999981. The next prime is 14232242000017. The reversal of 14232242000000 is 24223241.

It can be written as a sum of positive squares in 7 ways, for example, as 11295460600384 + 2936781399616 = 3360872^2 + 1713704^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1558061 + ... + 5558060.

Almost surely, 214232242000000 is an apocalyptic number.

14232242000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14232242000000 is an abundant number, since it is smaller than the sum of its proper divisors (21208927589410).

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

14232242000000 is an frugal number, since it uses more digits than its factorization.

14232242000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7116165 (or 7116128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 14232242000000 its reverse (24223241), we get a palindrome (14232266223241).

The spelling of 14232242000000 in words is "fourteen trillion, two hundred thirty-two billion, two hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 7116121 14232242 28464484 35580605 56928968 71161210 113857936 142322420 177903025 227715872 284644840 355806050 455431744 569289680 711612100 889515125 910863488 1138579360 1423224200 1779030250 2277158720 2846448400 3558060500 4447575625 4554317440 5692896800 7116121000 8895151250 11385793600 14232242000 17790302500 22237878125 22771587200 28464484000 35580605000 44475756250 56928968000 71161210000 88951512500 111189390625 113857936000 142322420000 177903025000 222378781250 284644840000 355806050000 444757562500 569289680000 711612100000 889515125000 1423224200000 1779030250000 2846448400000 3558060500000 7116121000000 14232242000000