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14123200020 = 22351673793719
BaseRepresentation
bin11010010011100111…
…01110111000010100
31100110021021220020020
431021303232320110
5212411014400040
610253233105140
71006662135156
oct151163567024
940407256206
1014123200020
115a981a6236
1228a19b81b0
131440cb64b7
1497d9c6ad6
15579d6bcd0
hex349ceee14

14123200020 has 96 divisors (see below), whose sum is σ = 39897446400. Its totient is φ = 3732753024.

The previous prime is 14123200019. The next prime is 14123200051. The reversal of 14123200020 is 2000232141.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3795721 + ... + 3799439.

It is an arithmetic number, because the mean of its divisors is an integer number (415598400).

Almost surely, 214123200020 is an apocalyptic number.

14123200020 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 14123200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948723200).

14123200020 is an abundant number, since it is smaller than the sum of its proper divisors (25774246380).

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

14123200020 is a wasteful number, since it uses less digits than its factorization.

14123200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4277 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 14123200020 its reverse (2000232141), we get a palindrome (16123432161).

The spelling of 14123200020 in words is "fourteen billion, one hundred twenty-three million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 379 501 668 758 835 1002 1137 1516 1670 1895 2004 2274 2505 3340 3719 3790 4548 5010 5685 7438 7580 10020 11157 11370 14876 18595 22314 22740 37190 44628 55785 63293 74380 111570 126586 189879 223140 253172 316465 379758 621073 632930 759516 949395 1242146 1265860 1409501 1863219 1898790 2484292 2819002 3105365 3726438 3797580 4228503 5638004 6210730 7047505 7452876 8457006 9316095 12421460 14095010 16914012 18632190 21142515 28190020 37264380 42285030 84570060 235386667 470773334 706160001 941546668 1176933335 1412320002 2353866670 2824640004 3530800005 4707733340 7061600010 14123200020