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424014123420 = 2232517767318059
BaseRepresentation
bin1100010101110010011…
…01100001000110011100
31111112110021101020101100
412022321031201012130
523421340103422140
6522442302113100
742430315403436
oct6127115410634
91445407336340
10424014123420
11153906a11798
126a21557b790
1330ca4841024
1416745637656
15b069c79530
hex62b936119c

424014123420 has 144 divisors (see below), whose sum is σ = 1362086500320. Its totient is φ = 106399469568.

The previous prime is 424014123413. The next prime is 424014123443. The reversal of 424014123420 is 24321410424.

424014123420 is a `hidden beast` number, since 4 + 2 + 401 + 4 + 1 + 234 + 20 = 666.

It is a congruent number.

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, 23470351 + ... + 23488409.

It is an arithmetic number, because the mean of its divisors is an integer number (9458934030).

Almost surely, 2424014123420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424014123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681043250160).

424014123420 is an abundant number, since it is smaller than the sum of its proper divisors (938072376900).

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

424014123420 is a wasteful number, since it uses less digits than its factorization.

424014123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25764 (or 25759 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 424014123420 its reverse (24321410424), we get a palindrome (448335533844).

The spelling of 424014123420 in words is "four hundred twenty-four billion, fourteen million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7673 15346 18059 23019 30692 36118 38365 46038 54177 69057 72236 76730 90295 92076 108354 115095 130441 138114 153460 162531 180590 216708 230190 260882 270885 276228 307003 325062 345285 361180 391323 460380 521764 541770 614006 650124 652205 690570 782646 812655 921009 1083540 1173969 1228012 1304410 1381140 1535015 1565292 1625310 1842018 1956615 2347938 2608820 2763027 3070030 3250620 3684036 3913230 4605045 4695876 5526054 5869845 6140060 7826460 9210090 11052108 11739690 13815135 18420180 23479380 27630270 55260540 138566707 277133414 415700121 554266828 692833535 831400242 1247100363 1385667070 1662800484 2078500605 2355634019 2494200726 2771334140 4157001210 4711268038 4988401452 6235501815 7066902057 8314002420 9422536076 11778170095 12471003630 14133804114 21200706171 23556340190 24942007260 28267608228 35334510285 42401412342 47112680380 70669020570 84802824684 106003530855 141338041140 212007061710 424014123420