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14021714232270 = 23253671030341203
BaseRepresentation
bin1100110000001010111101…
…0010111100001111001110
31211122110111101002020121100
43030002233102330033032
53314212432320413040
645453253034243530
72645015102314143
oct314025722741716
954573441066540
1014021714232270
114516637158798
1216a56038865a6
137a931b81c1b4
143669242a23ca
15194b0c3ceb30
hexcc0af4bc3ce

14021714232270 has 96 divisors (see below), whose sum is σ = 36560228769792. Its totient is φ = 3728483027136.

The previous prime is 14021714232257. The next prime is 14021714232271. The reversal of 14021714232270 is 7223241712041.

14021714232270 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 1 + 7 + 1 + 423 + 227 + 0 = 666.

It is a super-2 number, since 2×140217142322702 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14021714232271) 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 47 ways as a sum of consecutive naturals, for example, 340287489 + ... + 340328691.

It is an arithmetic number, because the mean of its divisors is an integer number (380835716352).

Almost surely, 214021714232270 is an apocalyptic number.

14021714232270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14021714232270 is an abundant number, since it is smaller than the sum of its proper divisors (22538514537522).

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

14021714232270 is a wasteful number, since it uses less digits than its factorization.

14021714232270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51886 (or 51883 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 14021714232270 in words is "fourteen trillion, twenty-one billion, seven hundred fourteen million, two hundred thirty-two thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 367 734 1101 1835 2202 3303 3670 5505 6606 10303 11010 16515 20606 30909 33030 41203 51515 61818 82406 92727 103030 123609 154545 185454 206015 247218 309090 370827 412030 463635 618045 741654 927270 1236090 1854135 3708270 3781201 7562402 11343603 15121501 18906005 22687206 30243002 34030809 37812010 45364503 56718015 68061618 75607505 90729006 113436030 136093509 151215010 170154045 226822515 272187018 340308090 424514509 453645030 680467545 849029018 1273543527 1360935090 2122572545 2547087054 3820630581 4245145090 6367717635 7641261162 12735435270 19103152905 38206305810 155796824803 311593649606 467390474409 778984124015 934780948818 1402171423227 1557968248030 2336952372045 2804342846454 4673904744090 7010857116135 14021714232270