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4411340000 = 2554367601
BaseRepresentation
bin1000001101110111…
…11011010011100000
3102101102201021211222
410012323323103200
533013300340000
62005422154212
7214213525364
oct40673732340
912342637758
104411340000
1119640a5041
12a31422968
13553c03772
142dbc2b2a4
151ac428a85
hex106efb4e0

4411340000 has 120 divisors (see below), whose sum is σ = 10900235808. Its totient is φ = 1756800000.

The previous prime is 4411339973. The next prime is 4411340009. The reversal of 4411340000 is 431144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411340009) 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 19 ways as a sum of consecutive naturals, for example, 7339700 + ... + 7340300.

Almost surely, 24411340000 is an apocalyptic number.

4411340000 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 4411340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450117904).

4411340000 is an abundant number, since it is smaller than the sum of its proper divisors (6488895808).

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

4411340000 is an equidigital number, since it uses as much as digits as its factorization.

4411340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4411340000 is about 66417.9192688238. The cubic root of 4411340000 is about 1640.0490764612.

Adding to 4411340000 its reverse (431144), we get a palindrome (4411771144).

The spelling of 4411340000 in words is "four billion, four hundred eleven million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 367 400 500 601 625 734 800 1000 1202 1250 1468 1835 2000 2404 2500 2936 3005 3670 4000 4808 5000 5872 6010 7340 9175 9616 10000 11744 12020 14680 15025 18350 19232 20000 24040 29360 30050 36700 45875 48080 58720 60100 73400 75125 91750 96160 120200 146800 150250 183500 220567 229375 240400 293600 300500 367000 375625 441134 458750 480800 601000 734000 751250 882268 917500 1102835 1202000 1468000 1502500 1764536 1835000 2205670 2404000 3005000 3529072 3670000 4411340 5514175 6010000 7058144 7340000 8822680 11028350 12020000 17645360 22056700 27570875 35290720 44113400 55141750 88226800 110283500 137854375 176453600 220567000 275708750 441134000 551417500 882268000 1102835000 2205670000 4411340000