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14131302020 = 22511217536481
BaseRepresentation
bin11010010100100101…
…01000111010000100
31100110211112112002022
431022102220322010
5212420103131040
610254122502312
71010121041153
oct151222507204
940424475068
1014131302020
115aa182a400
1228a4664998
131442892194
14980ad559a
1557a91c6b5
hex34a4a8e84

14131302020 has 144 divisors (see below), whose sum is σ = 35194615344. Its totient is φ = 4744396800.

The previous prime is 14131302019. The next prime is 14131302067. The reversal of 14131302020 is 2020313141.

It can be written as a sum of positive squares in 8 ways, for example, as 2919457024 + 11211844996 = 54032^2 + 105886^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 14131302020.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177180 + ... + 2183660.

It is an arithmetic number, because the mean of its divisors is an integer number (244407051).

Almost surely, 214131302020 is an apocalyptic number.

14131302020 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 14131302020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17597307672).

14131302020 is an abundant number, since it is smaller than the sum of its proper divisors (21063313324).

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

14131302020 is a wasteful number, since it uses less digits than its factorization.

14131302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6569 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 14131302020 its reverse (2020313141), we get a palindrome (16151615161).

The spelling of 14131302020 in words is "fourteen billion, one hundred thirty-one million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 121 170 187 212 220 242 265 340 374 484 530 583 605 748 901 935 1060 1166 1210 1802 1870 2057 2332 2420 2915 3604 3740 4114 4505 5830 6413 6481 8228 9010 9911 10285 11660 12826 12962 18020 19822 20570 25652 25924 32065 32405 39644 41140 49555 64130 64810 71291 99110 109021 110177 128260 129620 142582 198220 218042 220354 285164 343493 356455 436084 440708 545105 550885 686986 712910 784201 1090210 1101770 1211947 1373972 1425820 1568402 1717465 2180420 2203540 2423894 3136804 3434930 3778423 3921005 4847788 5839381 6059735 6869860 7556846 7842010 11678762 12119470 13331417 15113692 15684020 18892115 23357524 24238940 26662834 29196905 37784230 41562653 53325668 58393810 64233191 66657085 75568460 83125306 116787620 128466382 133314170 166250612 207813265 256932764 266628340 321165955 415626530 642331910 706565101 831253060 1284663820 1413130202 2826260404 3532825505 7065651010 14131302020