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14210040020 = 225112916713337
BaseRepresentation
bin11010011101111110…
…00000000011010100
31100200022200211022112
431032333000003110
5213100232240040
610310014250152
71012065230051
oct151677000324
940608624275
1014210040020
116032219430
122906ab6958
131455ca0007
1498b350028
155827c2365
hex34efc00d4

14210040020 has 96 divisors (see below), whose sum is σ = 33880654080. Its totient is φ = 4958858240.

The previous prime is 14210040011. The next prime is 14210040037. The reversal of 14210040020 is 2004001241.

It is a junction number, because it is equal to n+sod(n) for n = 14210039977 and 14210040004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1058792 + ... + 1072128.

It is an arithmetic number, because the mean of its divisors is an integer number (352923480).

Almost surely, 214210040020 is an apocalyptic number.

14210040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14210040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16940327040).

14210040020 is an abundant number, since it is smaller than the sum of its proper divisors (19670614060).

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

14210040020 is a wasteful number, since it uses less digits than its factorization.

14210040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13553 (or 13551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 14210040020 its reverse (2004001241), we get a palindrome (16214041261).

The spelling of 14210040020 in words is "fourteen billion, two hundred ten million, forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 167 220 290 319 334 580 638 668 835 1276 1595 1670 1837 3190 3340 3674 4843 6380 7348 9185 9686 13337 18370 19372 24215 26674 36740 48430 53273 53348 66685 96860 106546 133370 146707 213092 266365 266740 293414 386773 532730 586828 733535 773546 1065460 1467070 1547092 1933865 2227279 2934140 3867730 4254503 4454558 7735460 8509006 8909116 11136395 17018012 21272515 22272790 24500069 42545030 44545580 49000138 64591091 85090060 98000276 122500345 129182182 245000690 258364364 322955455 490001380 645910910 710502001 1291821820 1421004002 2842008004 3552510005 7105020010 14210040020