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14042132020 = 2257196778791
BaseRepresentation
bin11010001001111100…
…11110111000110100
31100020121202012211201
431010332132320310
5212224241211040
610241215342244
71004656103260
oct150476367064
940217665751
1014042132020
115a56465694
12287a821984
13142a270c77
14972d230a0
15572ba6a9a
hex344f9ee34

14042132020 has 96 divisors (see below), whose sum is σ = 36004792320. Its totient is φ = 4492920960.

The previous prime is 14042132009. The next prime is 14042132033. The reversal of 14042132020 is 2023124041.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 31 ways as a sum of consecutive naturals, for example, 138825 + ... + 217615.

It is an arithmetic number, because the mean of its divisors is an integer number (375049920).

Almost surely, 214042132020 is an apocalyptic number.

14042132020 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 14042132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18002396160).

14042132020 is an abundant number, since it is smaller than the sum of its proper divisors (21962660300).

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

14042132020 is a wasteful number, since it uses less digits than its factorization.

14042132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78893 (or 78891 counting only the distinct ones).

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

Adding to 14042132020 its reverse (2023124041), we get a palindrome (16065256061).

The spelling of 14042132020 in words is "fourteen billion, forty-two million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 67 70 76 95 133 134 140 190 266 268 335 380 469 532 665 670 938 1273 1330 1340 1876 2345 2546 2660 4690 5092 6365 8911 9380 12730 17822 25460 35644 44555 78791 89110 157582 178220 315164 393955 551537 787910 1103074 1497029 1575820 2206148 2757685 2994058 5278997 5515370 5988116 7485145 10479203 10557994 11030740 14970290 20958406 21115988 26394985 29940580 36952979 41916812 52396015 52789970 73905958 100300943 104792030 105579940 147811916 184764895 200601886 209584060 369529790 401203772 501504715 702106601 739059580 1003009430 1404213202 2006018860 2808426404 3510533005 7021066010 14042132020