Search a number
-
+
14040100133320 = 2351638783245177
BaseRepresentation
bin1100110001001111011100…
…1011100101100111001000
31211201012221201101210100111
43030103313023211213020
53320013111113231240
645505533304044104
72646235525020202
oct314236713454710
954635851353314
1014040100133320
114523411556338
1216a9095163634
137aac8b9958a1
1436778a063772
151953365b41ea
hexcc4f72e59c8

14040100133320 has 64 divisors (see below), whose sum is σ = 31787778827520. Its totient is φ = 5580927558144.

The previous prime is 14040100133291. The next prime is 14040100133321. The reversal of 14040100133320 is 2333100104041.

It is a junction number, because it is equal to n+sod(n) for n = 14040100133291 and 14040100133300.

It is not an unprimeable number, because it can be changed into a prime (14040100133321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57142572 + ... + 57387748.

It is an arithmetic number, because the mean of its divisors is an integer number (496684044180).

Almost surely, 214040100133320 is an apocalyptic number.

14040100133320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14040100133320 is an abundant number, since it is smaller than the sum of its proper divisors (17747678694200).

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

14040100133320 is a wasteful number, since it uses less digits than its factorization.

14040100133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254134 (or 254130 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 14040100133320 its reverse (2333100104041), we get a palindrome (16373200237361).

The spelling of 14040100133320 in words is "fourteen trillion, forty billion, one hundred million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 163 326 652 815 1304 1630 3260 6520 8783 17566 35132 43915 70264 87830 175660 245177 351320 490354 980708 1225885 1431629 1961416 2451770 2863258 4903540 5726516 7158145 9807080 11453032 14316290 28632580 39963851 57265160 79927702 159855404 199819255 319710808 399638510 799277020 1598554040 2153389591 4306779182 8613558364 10766947955 17227116728 21533895910 43067791820 86135583640 351002503333 702005006666 1404010013332 1755012516665 2808020026664 3510025033330 7020050066660 14040100133320