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4414200043104 = 253234674420849
BaseRepresentation
bin100000000111100001011…
…0100110101011001100000
3120121222211012011000001100
41000033002310311121200
51034310240202334404
613215504442234400
7633625664166525
oct100170264653140
916558735130040
104414200043104
111452062934585
125b36027b5a00
13260346316737
141139113ad14c
1579c5434dd39
hex403c2d35660

4414200043104 has 72 divisors (see below), whose sum is σ = 12556504888200. Its totient is φ = 1470975280128.

The previous prime is 4414200043027. The next prime is 4414200043171. The reversal of 4414200043104 is 4013400024144.

4414200043104 is a `hidden beast` number, since 4 + 414 + 200 + 0 + 43 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1211929 + ... + 3208920.

It is an arithmetic number, because the mean of its divisors is an integer number (174395901225).

Almost surely, 24414200043104 is an apocalyptic number.

It is an amenable number.

4414200043104 is an abundant number, since it is smaller than the sum of its proper divisors (8142304845096).

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

4414200043104 is a wasteful number, since it uses less digits than its factorization.

4414200043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424332 (or 4424321 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4414200043104 its reverse (4013400024144), we get a palindrome (8427600067248).

The spelling of 4414200043104 in words is "four trillion, four hundred fourteen billion, two hundred million, forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3467 6934 10401 13868 20802 27736 31203 41604 55472 62406 83208 110944 124812 166416 249624 332832 499248 998496 4420849 8841698 13262547 17683396 26525094 35366792 39787641 53050188 70733584 79575282 106100376 141467168 159150564 212200752 318301128 424401504 636602256 1273204512 15327083483 30654166966 45981250449 61308333932 91962500898 122616667864 137943751347 183925001796 245233335728 275887502694 367850003592 490466671456 551775005388 735700007184 1103550010776 1471400014368 2207100021552 4414200043104