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420232041400 = 23522383881729
BaseRepresentation
bin1100001110101111100…
…10000001001110111000
31111011200200201120012111
412013113302001032320
523341113400311100
6521015115022104
742234512262313
oct6072762011670
91434620646174
10420232041400
11152246039576
126953aa3a934
133082110b482
14164a720b97a
15ade7bec6ba
hex61d7c813b8

420232041400 has 48 divisors (see below), whose sum is σ = 977450608800. Its totient is φ = 168022087680.

The previous prime is 420232041347. The next prime is 420232041401. The reversal of 420232041400 is 4140232024.

It is a happy number.

It is a super-2 number, since 2×4202320414002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420232041401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35736 + ... + 917464.

It is an arithmetic number, because the mean of its divisors is an integer number (20363554350).

Almost surely, 2420232041400 is an apocalyptic number.

420232041400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420232041400 is an abundant number, since it is smaller than the sum of its proper divisors (557218567400).

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

420232041400 is a wasteful number, since it uses less digits than its factorization.

420232041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884128 (or 884119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 420232041400 its reverse (4140232024), we get a palindrome (424372273424).

The spelling of 420232041400 in words is "four hundred twenty billion, two hundred thirty-two million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2383 4766 9532 11915 19064 23830 47660 59575 95320 119150 238300 476600 881729 1763458 3526916 4408645 7053832 8817290 17634580 22043225 35269160 44086450 88172900 176345800 2101160207 4202320414 8404640828 10505801035 16809281656 21011602070 42023204140 52529005175 84046408280 105058010350 210116020700 420232041400