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14101214420 = 22519103335923
BaseRepresentation
bin11010010000111111…
…10111010011010100
31100101201220220122202
431020133313103110
5212334402330140
610251125544032
71006304226206
oct151037672324
940351826582
1014101214420
115a8684a117
122896575018
131439589377
1497ab02776
15577e77915
hex3487f74d4

14101214420 has 48 divisors (see below), whose sum is σ = 31202149440. Its totient is φ = 5338296576.

The previous prime is 14101214327. The next prime is 14101214423. The reversal of 14101214420 is 2441210141.

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

It is a junction number, because it is equal to n+sod(n) for n = 14101214392 and 14101214401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101214423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374579 + ... + 410501.

It is an arithmetic number, because the mean of its divisors is an integer number (650044780).

Almost surely, 214101214420 is an apocalyptic number.

14101214420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14101214420 is an abundant number, since it is smaller than the sum of its proper divisors (17100935020).

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

14101214420 is a wasteful number, since it uses less digits than its factorization.

14101214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36984 (or 36982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14101214420 its reverse (2441210141), we get a palindrome (16542424561).

The spelling of 14101214420 in words is "fourteen billion, one hundred one million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 1033 2066 4132 5165 10330 19627 20660 35923 39254 71846 78508 98135 143692 179615 196270 359230 392540 682537 718460 1365074 2730148 3412685 6825370 13650740 37108459 74216918 148433836 185542295 371084590 705060721 742169180 1410121442 2820242884 3525303605 7050607210 14101214420