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424324213020 = 2232513920038467
BaseRepresentation
bin1100010110010111011…
…00011010100100011100
31111120020212212102100100
412023023230122210130
523423003444304040
6522533140301100
742441102204651
oct6131354324434
91446225772310
10424324213020
11153a55a57694
126a2a13a1790
1331023b623b6
14167748b5c28
15b0870ccb30
hex62cbb1a91c

424324213020 has 144 divisors (see below), whose sum is σ = 1297177015680. Its totient is φ = 112269725568.

The previous prime is 424324212989. The next prime is 424324213039. The reversal of 424324213020 is 20312423424.

424324213020 is a `hidden beast` number, since 42 + 432 + 42 + 130 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 50110827 + ... + 50119293.

It is an arithmetic number, because the mean of its divisors is an integer number (9008173720).

Almost surely, 2424324213020 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 424324213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648588507840).

424324213020 is an abundant number, since it is smaller than the sum of its proper divisors (872852802660).

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

424324213020 is a wasteful number, since it uses less digits than its factorization.

424324213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 424324213020 its reverse (20312423424), we get a palindrome (444636636444).

The spelling of 424324213020 in words is "four hundred twenty-four billion, three hundred twenty-four million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 139 180 278 417 556 695 834 1251 1390 1668 2003 2085 2502 2780 4006 4170 5004 6009 6255 8012 8340 8467 10015 12018 12510 16934 18027 20030 24036 25020 25401 30045 33868 36054 40060 42335 50802 60090 72108 76203 84670 90135 101604 120180 127005 152406 169340 180270 254010 278417 304812 360540 381015 508020 556834 762030 835251 1113668 1176913 1392085 1524060 1670502 2353826 2505753 2784170 3341004 3530739 4176255 4707652 5011506 5568340 5884565 7061478 8352510 10023012 10592217 11769130 12528765 14122956 16705020 16959401 17653695 21184434 23538260 25057530 33918802 35307390 42368868 50115060 50878203 52961085 67837604 70614780 84797005 101756406 105922170 152634609 169594010 203512812 211844340 254391015 305269218 339188020 508782030 610538436 763173045 1017564060 1526346090 2357356739 3052692180 4714713478 7072070217 9429426956 11786783695 14144140434 21216210651 23573567390 28288280868 35360351085 42432421302 47147134780 70720702170 84864842604 106081053255 141441404340 212162106510 424324213020