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440243211100 = 2252711509112327
BaseRepresentation
bin1100110100000001000…
…10100100101101011100
31120002100022021022101211
412122000202210231130
524203104230223400
6534124523514204
743543431360040
oct6320042445534
91502308238354
10440243211100
1115a7848a7550
12713a4688964
133268cbc71a4
1417444ba0020
15b6b9922dba
hex66808a4b5c

440243211100 has 144 divisors (see below), whose sum is σ = 1193408616960. Its totient is φ = 136947859200.

The previous prime is 440243211047. The next prime is 440243211101. The reversal of 440243211100 is 1112342044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440243211101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3863137 + ... + 3975463.

It is an arithmetic number, because the mean of its divisors is an integer number (8287559840).

Almost surely, 2440243211100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440243211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596704308480).

440243211100 is an abundant number, since it is smaller than the sum of its proper divisors (753165405860).

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

440243211100 is a wasteful number, since it uses less digits than its factorization.

440243211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112868 (or 112861 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 440243211100 its reverse (1112342044), we get a palindrome (441355553144).

The spelling of 440243211100 in words is "four hundred forty billion, two hundred forty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 509 550 700 770 1018 1100 1540 1925 2036 2545 3563 3850 5090 5599 7126 7700 10180 11198 12725 14252 17815 22396 25450 27995 35630 39193 50900 55990 71260 78386 89075 111980 112327 139975 156772 178150 195965 224654 279950 356300 391930 449308 559900 561635 783860 786289 979825 1123270 1235597 1572578 1959650 2246540 2471194 2808175 3145156 3919300 3931445 4942388 5616350 6177985 7862890 8649179 11232700 12355970 15725780 17298358 19657225 24711940 30889925 34596716 39314450 43245895 57174443 61779850 78628900 86491790 114348886 123559700 172983580 216229475 228697772 285872215 400221101 432458950 571744430 628918873 800442202 864917900 1143488860 1257837746 1429361075 1600884404 2001105505 2515675492 2858722150 3144594365 4002211010 4402432111 5717444300 6289188730 8004422020 8804864222 10005527525 12578377460 15722971825 17609728444 20011055050 22012160555 31445943650 40022110100 44024321110 62891887300 88048642220 110060802775 220121605550 440243211100