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4244230414400 = 26522652644009
BaseRepresentation
bin111101110000101111110…
…110001010000001000000
3120000202002201022020111212
4331300233312022001000
51024014140441230100
613005434511225252
7615430662164444
oct75605766120100
916022081266455
104244230414400
111396a71470859
12586688218228
1324a2c9764642
141095c97a0824
1575607502635
hex3dc2fd8a040

4244230414400 has 42 divisors (see below), whose sum is σ = 10443459467370. Its totient is φ = 1697692165120.

The previous prime is 4244230414339. The next prime is 4244230414447. The reversal of 4244230414400 is 44140324424.

It can be written as a sum of positive squares in 3 ways, for example, as 173262397504 + 4070968016896 = 416248^2 + 2017664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 5 ways as a sum of consecutive naturals, for example, 1326320405 + ... + 1326323604.

Almost surely, 24244230414400 is an apocalyptic number.

4244230414400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4244230414400 is an abundant number, since it is smaller than the sum of its proper divisors (6199229052970).

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

4244230414400 is a wasteful number, since it uses less digits than its factorization.

4244230414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652644031 (or 2652644016 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4244230414400 its reverse (44140324424), we get a palindrome (4288370738824).

The spelling of 4244230414400 in words is "four trillion, two hundred forty-four billion, two hundred thirty million, four hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2652644009 5305288018 10610576036 13263220045 21221152072 26526440090 42442304144 53052880180 66316100225 84884608288 106105760360 132632200450 169769216576 212211520720 265264400900 424423041440 530528801800 848846082880 1061057603600 2122115207200 4244230414400