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14214010410020 = 22554771045712409
BaseRepresentation
bin1100111011010111010100…
…0010101001010000100100
31212022211211211021012200202
43032311311002221100210
53330340243131110040
650121454244530032
72664633300001031
oct316656502512044
955284754235622
1014214010410020
114590145355243
12171692b3b0918
137c14b5a88365
14371d67176388
15199b14360015
hexced750a9424

14214010410020 has 48 divisors (see below), whose sum is σ = 29860132967280. Its totient is φ = 5683564406784.

The previous prime is 14214010409801. The next prime is 14214010410073. The reversal of 14214010410020 is 2001401041241.

It can be written as a sum of positive squares in 8 ways, for example, as 762544604644 + 13451465805376 = 873238^2 + 3667624^2 .

It is a super-3 number, since 3×142140104100203 (a number of 40 digits) contains 333 as substring.

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 = 14214010409974 and 14214010410001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145453576 + ... + 1145465984.

It is an arithmetic number, because the mean of its divisors is an integer number (622086103485).

Almost surely, 214214010410020 is an apocalyptic number.

14214010410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14214010410020 is an abundant number, since it is smaller than the sum of its proper divisors (15646122557260).

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

14214010410020 is a wasteful number, since it uses less digits than its factorization.

14214010410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28352 (or 28350 counting only the distinct ones).

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

Adding to 14214010410020 its reverse (2001401041241), we get a palindrome (16215411451261).

The spelling of 14214010410020 in words is "fourteen trillion, two hundred fourteen billion, ten million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 5477 10457 10954 12409 20914 21908 24818 27385 41828 49636 52285 54770 62045 104570 109540 124090 209140 248180 57272989 67964093 114545978 129760913 135928186 229091956 259521826 271856372 286364945 339820465 519043652 572729890 648804565 679640930 1145459780 1297609130 1359281860 2595218260 710700520501 1421401041002 2842802082004 3553502602505 7107005205010 14214010410020