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420444060444024 = 233251666171047703
BaseRepresentation
bin101111110011001000100001…
…0110111101110010101111000
32001010200001121110210110100120
41133212101002313232111320
5420102023413433202044
64050113200201333240
7154363036523316261
oct13746210267562570
92033601543713316
10420444060444024
11111a6a363191831
123b1a4a61197220
131507a921517b76
1475b785b601968
153391aacaa9519
hex17e6442dee578

420444060444024 has 64 divisors (see below), whose sum is σ = 1055314689488640. Its totient is φ = 139587432864000.

The previous prime is 420444060444019. The next prime is 420444060444049.

420444060444024 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400776957 + ... + 401824659.

It is an arithmetic number, because the mean of its divisors is an integer number (16489292023260).

Almost surely, 2420444060444024 is an apocalyptic number.

It is an amenable number.

420444060444024 is an abundant number, since it is smaller than the sum of its proper divisors (634870629044616).

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

420444060444024 is a wasteful number, since it uses less digits than its factorization.

420444060444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114580 (or 1114576 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 42.

The spelling of 420444060444024 in words is "four hundred twenty trillion, four hundred forty-four billion, sixty million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 251 502 753 1004 1506 2008 3012 6024 66617 133234 199851 266468 399702 532936 799404 1047703 1598808 2095406 3143109 4190812 6286218 8381624 12572436 16720867 25144872 33441734 50162601 66883468 100325202 133766936 200650404 262973453 401300808 525946906 788920359 1051893812 1577840718 2103787624 3155681436 6311362872 69794830751 139589661502 209384492253 279179323004 418768984506 558358646008 837537969012 1675075938024 17518502518501 35037005037002 52555507555503 70074010074004 105111015111006 140148020148008 210222030222012 420444060444024