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14214214240020 = 2234518121484201
BaseRepresentation
bin1100111011011000000100…
…1100001100011100010100
31212022212101000210211220000
43032312001030030130110
53330341202321140040
650121530405411300
72664641323346424
oct316660114143424
955285330724800
1014214214240020
11459023a413793
121716987709b30
137c1519083a22
14371d86274484
15199b271c4130
hexced8130c714

14214214240020 has 120 divisors (see below), whose sum is σ = 44593069328808. Its totient is φ = 3790240128000.

The previous prime is 14214214240007. The next prime is 14214214240049. The reversal of 14214214240020 is 2004241241241.

14214214240020 is a `hidden beast` number, since 1 + 4 + 21 + 4 + 214 + 2 + 400 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2129649886224 + 12084564353796 = 1459332^2 + 3476286^2 .

It is a super-2 number, since 2×142142142400202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 29113920 + ... + 29598120.

Almost surely, 214214214240020 is an apocalyptic number.

14214214240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214214240020 is an abundant number, since it is smaller than the sum of its proper divisors (30378855088788).

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

14214214240020 is a wasteful number, since it uses less digits than its factorization.

14214214240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502343 (or 502332 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 14214214240020 its reverse (2004241241241), we get a palindrome (16218455481261).

The spelling of 14214214240020 in words is "fourteen trillion, two hundred fourteen billion, two hundred fourteen million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 18121 36242 54363 72484 90605 108726 163089 181210 217452 271815 326178 362420 484201 489267 543630 652356 815445 968402 978534 1087260 1452603 1467801 1630890 1936804 1957068 2421005 2446335 2905206 2935602 3261780 4357809 4842010 4892670 5810412 5871204 7263015 7339005 8715618 9684020 9785340 13073427 14526030 14678010 17431236 21789045 26146854 29052060 29356020 39220281 43578090 52293708 65367135 78440562 87156180 130734270 156881124 196101405 261468540 392202810 784405620 8774206321 17548412642 26322618963 35096825284 43871031605 52645237926 78967856889 87742063210 105290475852 131613094815 157935713778 175484126420 236903570667 263226189630 315871427556 394839284445 473807141334 526452379260 710710712001 789678568890 947614282668 1184517853335 1421421424002 1579357137780 2369035706670 2842842848004 3553553560005 4738071413340 7107107120010 14214214240020