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44061100341200 = 2452659761219647
BaseRepresentation
bin10100000010010110001100…
…01110111111011111010000
312210000012101211200122100122
422001023012032333133100
521233344113141404300
6233413220130405412
712165211066301315
oct1201130616773720
9183005354618318
1044061100341200
1113048231521398
124b37405430868
131b77c36a90437
14ac47d6498d0c
155161e4d2bc85
hex2812c63bf7d0

44061100341200 has 120 divisors (see below), whose sum is σ = 106157222645760. Its totient is φ = 17574491468800.

The previous prime is 44061100341173. The next prime is 44061100341259. The reversal of 44061100341200 is 214300116044.

It is a happy number.

44061100341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44061100341200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200489777 + ... + 200709423.

It is an arithmetic number, because the mean of its divisors is an integer number (884643522048).

Almost surely, 244061100341200 is an apocalyptic number.

44061100341200 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 44061100341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53078611322880).

44061100341200 is an abundant number, since it is smaller than the sum of its proper divisors (62096122304560).

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

44061100341200 is a wasteful number, since it uses less digits than its factorization.

44061100341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221085 (or 221074 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 44061100341200 its reverse (214300116044), we get a palindrome (44275400457244).

The spelling of 44061100341200 in words is "forty-four trillion, sixty-one billion, one hundred million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 659 761 1318 1522 2636 3044 3295 3805 5272 6088 6590 7610 10544 12176 13180 15220 16475 19025 26360 30440 32950 38050 52720 60880 65900 76100 131800 152200 219647 263600 304400 439294 501499 878588 1002998 1098235 1757176 2005996 2196470 2507495 3514352 4011992 4392940 5014990 5491175 8023984 8785880 10029980 10982350 12537475 17571760 20059960 21964700 25074950 40119920 43929400 50149900 87858800 100299800 144747373 167151367 200599600 289494746 334302734 578989492 668605468 723736865 835756835 1157978984 1337210936 1447473730 1671513670 2315957968 2674421872 2894947460 3343027340 3618684325 4178784175 5789894920 6686054680 7237368650 8357568350 11579789840 13372109360 14474737300 16715136700 28949474600 33430273400 57898949200 66860546800 110152750853 220305501706 440611003412 550763754265 881222006824 1101527508530 1762444013648 2203055017060 2753818771325 4406110034120 5507637542650 8812220068240 11015275085300 22030550170600 44061100341200