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444244214320 = 24523472109297
BaseRepresentation
bin1100111011011110000…
…01001100001000110000
31120110200010212100000021
412131233001030020300
524234303004324240
6540025531133224
744044533342334
oct6355701141060
91513603770007
10444244214320
11161448306485
12721205a4214
1332b79aaa40a
14177042d57c4
15b850ce554a
hex676f04c230

444244214320 has 120 divisors (see below), whose sum is σ = 1101204455904. Its totient is φ = 166353758208.

The previous prime is 444244214291. The next prime is 444244214327. The reversal of 444244214320 is 23412442444.

It is not an unprimeable number, because it can be changed into a prime (444244214327) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4009912 + ... + 4119208.

Almost surely, 2444244214320 is an apocalyptic number.

444244214320 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 444244214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550602227952).

444244214320 is an abundant number, since it is smaller than the sum of its proper divisors (656960241584).

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

444244214320 is a wasteful number, since it uses less digits than its factorization.

444244214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109427 (or 109374 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 444244214320 its reverse (23412442444), we get a palindrome (467656656764).

The spelling of 444244214320 in words is "four hundred forty-four billion, two hundred forty-four million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 752 920 940 1081 1840 1880 2162 2209 3760 4324 4418 5405 8648 8836 10810 11045 17296 17672 21620 22090 35344 43240 44180 50807 86480 88360 101614 109297 176720 203228 218594 254035 406456 437188 508070 546485 812912 874376 1016140 1092970 1748752 2032280 2185940 2513831 4064560 4371880 5027662 5136959 8743760 10055324 10273918 12569155 20110648 20547836 25138310 25684795 40221296 41095672 50276620 51369590 82191344 100553240 102739180 118150057 201106480 205478360 236300114 241437073 410956720 472600228 482874146 590750285 945200456 965748292 1181500570 1207185365 1890400912 1931496584 2363001140 2414370730 3862993168 4726002280 4828741460 5553052679 9452004560 9657482920 11106105358 19314965840 22212210716 27765263395 44424421432 55530526790 88848842864 111061053580 222122107160 444244214320