Search a number
-
+
14420120513220 = 22325411953945869
BaseRepresentation
bin1101000111010111001000…
…1010010010101011000100
31220001112211222210022001200
43101311302022102223010
53342224401322410340
650400302323422500
73015551012655012
oct321656212225304
956045758708050
1014420120513220
11465a5a2109404
12174a871224a30
13807a71c135c6
1437bd1a9278b2
151a0178e1a330
hexd1d72292ac4

14420120513220 has 72 divisors (see below), whose sum is σ = 44807886690840. Its totient is φ = 3751576066560.

The previous prime is 14420120513219. The next prime is 14420120513263. The reversal of 14420120513220 is 2231502102441.

14420120513220 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 120 + 513 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74555210304 + 14345565302916 = 273048^2 + 3787554^2 .

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, 976965555 + ... + 976980314.

It is an arithmetic number, because the mean of its divisors is an integer number (622331759595).

Almost surely, 214420120513220 is an apocalyptic number.

14420120513220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420120513220 is an abundant number, since it is smaller than the sum of its proper divisors (30387766177620).

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

14420120513220 is a wasteful number, since it uses less digits than its factorization.

14420120513220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953945925 (or 1953945920 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14420120513220 its reverse (2231502102441), we get a palindrome (16651622615661).

The spelling of 14420120513220 in words is "fourteen trillion, four hundred twenty billion, one hundred twenty million, five hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 1953945869 3907891738 5861837607 7815783476 9769729345 11723675214 17585512821 19539458690 23447350428 29309188035 35171025642 39078917380 58618376070 70342051284 80111780629 87927564105 117236752140 160223561258 175855128210 240335341887 320447122516 351710256420 400558903145 480670683774 721006025661 801117806290 961341367548 1201676709435 1442012051322 1602235612580 2403353418870 2884024102644 3605030128305 4806706837740 7210060256610 14420120513220