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20314423424 = 275315719073
BaseRepresentation
bin10010111010110101…
…011000000010000000
31221102202011122002202
4102322311120002000
5313100443022144
613155440332332
71316260515161
oct227265300200
957382148082
1020314423424
118684a64a99
123b2b3140a8
131bb98857b9
14da9d71768
157dd67864e
hex4bad58080

20314423424 has 64 divisors (see below), whose sum is σ = 41498538840. Its totient is φ = 9901572096.

The previous prime is 20314423397. The next prime is 20314423457. The reversal of 20314423424 is 42432441302.

It can be written as a sum of positive squares in 4 ways, for example, as 11455849024 + 8858574400 = 107032^2 + 94120^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055552 + ... + 1074624.

Almost surely, 220314423424 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 20314423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20749269420).

20314423424 is an abundant number, since it is smaller than the sum of its proper divisors (21184115416).

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

20314423424 is a wasteful number, since it uses less digits than its factorization.

20314423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19297 (or 19285 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 20314423424 its reverse (42432441302), we get a palindrome (62746864726).

The spelling of 20314423424 in words is "twenty billion, three hundred fourteen million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 157 212 314 424 628 848 1256 1696 2512 3392 5024 6784 8321 10048 16642 19073 20096 33284 38146 66568 76292 133136 152584 266272 305168 532544 610336 1010869 1065088 1220672 2021738 2441344 2994461 4043476 5988922 8086952 11977844 16173904 23955688 32347808 47911376 64695616 95822752 129391232 158706433 191645504 317412866 383291008 634825732 1269651464 2539302928 5078605856 10157211712 20314423424