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14123402020 = 22571341189271
BaseRepresentation
bin11010010011101001…
…00000001100100100
31100110021200011022201
431021310200030210
5212411042331040
610253241304244
71006663636120
oct151164401444
940407604281
1014123402020
115a98323a82
1228a1a95084
131441057420
1497da3a580
15579daba9a
hex349d20324

14123402020 has 96 divisors (see below), whose sum is σ = 37394090496. Its totient is φ = 4360780800.

The previous prime is 14123401991. The next prime is 14123402063. The reversal of 14123402020 is 2020432141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20016 + ... + 169255.

It is an arithmetic number, because the mean of its divisors is an integer number (389521776).

Almost surely, 214123402020 is an apocalyptic number.

14123402020 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 14123402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697045248).

14123402020 is an abundant number, since it is smaller than the sum of its proper divisors (23270688476).

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

14123402020 is a wasteful number, since it uses less digits than its factorization.

14123402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189341 (or 189339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 14123402020 its reverse (2020432141), we get a palindrome (16143834161).

The spelling of 14123402020 in words is "fourteen billion, one hundred twenty-three million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 182 205 260 287 364 410 455 533 574 820 910 1066 1148 1435 1820 2132 2665 2870 3731 5330 5740 7462 10660 14924 18655 37310 74620 189271 378542 757084 946355 1324897 1892710 2460523 2649794 3785420 4921046 5299588 6624485 7760111 9842092 12302615 13248970 15520222 17223661 24605230 26497940 31040444 34447322 38800555 49210460 54320777 68894644 77601110 86118305 100881443 108641554 155202220 172236610 201762886 217283108 271603885 344473220 403525772 504407215 543207770 706170101 1008814430 1086415540 1412340202 2017628860 2824680404 3530850505 7061701010 14123402020