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14210400000020 = 22571481376118223
BaseRepresentation
bin1100111011001001110111…
…0110000001100000010100
31212022111112012122101020212
43032302131312001200110
53330310344400000040
650120100113144552
72664444650011250
oct316623566014024
955274465571225
1014210400000020
114589662376824
1217160a225b158
137c105baa1b93
14371b03877260
151999a23e3d65
hexcec9dd81814

14210400000020 has 96 divisors (see below), whose sum is σ = 34138935806976. Its totient is φ = 4867285708800.

The previous prime is 14210399999993. The next prime is 14210400000029. The reversal of 14210400000020 is 2000000401241.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 14210399999950 and 14210400000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14210400000029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 779796629 + ... + 779814851.

It is an arithmetic number, because the mean of its divisors is an integer number (355613914656).

Almost surely, 214210400000020 is an apocalyptic number.

14210400000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14210400000020 is an abundant number, since it is smaller than the sum of its proper divisors (19928535806956).

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

14210400000020 is a wasteful number, since it uses less digits than its factorization.

14210400000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23481 (or 23479 counting only the distinct ones).

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

Adding to 14210400000020 its reverse (2000000401241), we get a palindrome (16210400401261).

The spelling of 14210400000020 in words is "fourteen trillion, two hundred ten billion, four hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1481 2962 3761 5924 7405 7522 10367 14810 15044 18223 18805 20734 26327 29620 36446 37610 41468 51835 52654 72892 75220 91115 103670 105308 127561 131635 182230 207340 255122 263270 364460 510244 526540 637805 1275610 2551220 5570041 11140082 22280164 26988263 27850205 38990287 53976526 55700410 68536703 77980574 107953052 111400820 134941315 137073406 155961148 188917841 194951435 269882630 274146812 342683515 377835682 389902870 479756921 539765260 685367030 755671364 779805740 944589205 959513842 1370734060 1889178410 1919027684 2398784605 3778356820 4797569210 9595138420 101502857143 203005714286 406011428572 507514285715 710520000001 1015028571430 1421040000002 2030057142860 2842080000004 3552600000005 7105200000010 14210400000020