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20414220024 = 23311179114993
BaseRepresentation
bin10011000000110010…
…000100011011111000
31221200200221211022010
4103000302010123320
5313302020020044
613213403325520
71321612002312
oct230062043370
957620854263
1020414220024
118726327720
123b588208a0
131c04457843
14db930c7b2
157e72dcbb9
hex4c0c846f8

20414220024 has 128 divisors (see below), whose sum is σ = 59026682880. Its totient is φ = 5814681600.

The previous prime is 20414219953. The next prime is 20414220031. The reversal of 20414220024 is 42002241402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4086072 + ... + 4091064.

It is an arithmetic number, because the mean of its divisors is an integer number (461145960).

Almost surely, 220414220024 is an apocalyptic number.

20414220024 is a gapful number since it is divisible by the number (24) 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 20414220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29513341440).

20414220024 is an abundant number, since it is smaller than the sum of its proper divisors (38612462856).

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

20414220024 is a wasteful number, since it uses less digits than its factorization.

20414220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5941 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 20414220024 its reverse (42002241402), we get a palindrome (62416461426).

The spelling of 20414220024 in words is "twenty billion, four hundred fourteen million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 911 1122 1496 1822 2244 2733 3644 4488 4993 5466 7288 9986 10021 10932 14979 15487 19972 20042 21864 29958 30063 30974 39944 40084 46461 54923 59916 60126 61948 80168 84881 92922 109846 119832 120252 123896 164769 169762 170357 185844 219692 240504 254643 329538 339524 340714 371688 439384 509286 511071 659076 679048 681428 933691 1018572 1022142 1318152 1362856 1867382 2037144 2044284 2801073 3734764 4088568 4548623 5602146 7469528 9097246 11204292 13645869 18194492 22408584 27291738 36388984 50034853 54583476 77326591 100069706 109166952 150104559 154653182 200139412 231979773 300209118 309306364 400278824 463959546 600418236 618612728 850592501 927919092 1200836472 1701185002 1855838184 2551777503 3402370004 5103555006 6804740008 10207110012 20414220024