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434421002420020 = 225711283799433049
BaseRepresentation
bin110001011000110101000010…
…1100010000011111100110100
32002222011020112120222102120001
41202301222011202003330310
5423420023203104420040
64135534130423121044
7160334611263013150
oct14261520542037464
92088136476872501
10434421002420020
11116468a04596730
124088184a8a3184
1315852956375215
14793c13559a060
15353544953559a
hex18b1a85883f34

434421002420020 has 96 divisors (see below), whose sum is σ = 1137794095468800. Its totient is φ = 135356219581440.

The previous prime is 434421002420017. The next prime is 434421002420023. The reversal of 434421002420020 is 20024200124434.

It is an interprime number because it is at equal distance from previous prime (434421002420017) and next prime (434421002420023).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434421002420023) 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, 45347545 + ... + 54085504.

It is an arithmetic number, because the mean of its divisors is an integer number (11852021827800).

Almost surely, 2434421002420020 is an apocalyptic number.

It is an amenable number.

434421002420020 is an abundant number, since it is smaller than the sum of its proper divisors (703373093048780).

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

434421002420020 is a wasteful number, since it uses less digits than its factorization.

434421002420020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99435913 (or 99435911 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 434421002420020 its reverse (20024200124434), we get a palindrome (454445202544454).

The spelling of 434421002420020 in words is "four hundred thirty-four trillion, four hundred twenty-one billion, two million, four hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 2837 5674 11348 14185 19859 28370 31207 39718 56740 62414 79436 99295 124828 156035 198590 218449 312070 397180 436898 624140 873796 1092245 2184490 4368980 99433049 198866098 397732196 497165245 696031343 994330490 1093763539 1392062686 1988660980 2187527078 2784125372 3480156715 4375054156 5468817695 6960313430 7656344773 10937635390 13920626860 15312689546 21875270780 30625379092 38281723865 76563447730 153126895460 282091560013 564183120026 1128366240052 1410457800065 1974640920091 2820915600130 3103007160143 3949281840182 5641831200260 6206014320286 7898563680364 9873204600455 12412028640572 15515035800715 19746409200910 21721050121001 31030071601430 39492818401820 43442100242002 62060143202860 86884200484004 108605250605005 217210501210010 434421002420020