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4304044214000 = 245315111424237
BaseRepresentation
bin111110101000011101000…
…001101100011011110000
3120020110111020112002022222
4332220131001230123300
51031004140304322000
613053130044420212
7622646141121026
oct76503501543360
916213436462288
104304044214000
11140a375830793
1259619b847668
13252b3c75967b
1410c461624716
1576e58724a85
hex3ea1d06c6f0

4304044214000 has 80 divisors (see below), whose sum is σ = 10414073831616. Its totient is φ = 1720477088000.

The previous prime is 4304044213943. The next prime is 4304044214051. The reversal of 4304044214000 is 4124404034.

It is a happy number.

4304044214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2309882 + ... + 3734118.

Almost surely, 24304044214000 is an apocalyptic number.

4304044214000 is a gapful number since it is divisible by the number (40) 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 4304044214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207036915808).

4304044214000 is an abundant number, since it is smaller than the sum of its proper divisors (6110029617616).

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

4304044214000 is a wasteful number, since it uses less digits than its factorization.

4304044214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425771 (or 1425755 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4304044214000 its reverse (4124404034), we get a palindrome (4308168618034).

The spelling of 4304044214000 in words is "four trillion, three hundred four billion, forty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1511 2000 3022 6044 7555 12088 15110 24176 30220 37775 60440 75550 120880 151100 188875 302200 377750 604400 755500 1424237 1511000 2848474 3022000 5696948 7121185 11393896 14242370 22787792 28484740 35605925 56969480 71211850 113938960 142423700 178029625 284847400 356059250 569694800 712118500 1424237000 2152022107 2848474000 4304044214 8608088428 10760110535 17216176856 21520221070 34432353712 43040442140 53800552675 86080884280 107601105350 172161768560 215202210700 269002763375 430404421400 538005526750 860808842800 1076011053500 2152022107000 4304044214000