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4434140100 = 22352132349433
BaseRepresentation
bin1000010000100101…
…11001101111000100
3102110000121122201010
410020102321233010
533040114440400
62011555002220
7214611366105
oct41022715704
912400548633
104434140100
111975a580a5
12a38b99370
13558857550
14300c843ac
151ae42e450
hex1084b9bc4

4434140100 has 144 divisors (see below), whose sum is σ = 14417327232. Its totient is φ = 1044003840.

The previous prime is 4434140093. The next prime is 4434140131. The reversal of 4434140100 is 10414344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64984 + ... + 114416.

It is an arithmetic number, because the mean of its divisors is an integer number (100120328).

Almost surely, 24434140100 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 4434140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7208663616).

4434140100 is an abundant number, since it is smaller than the sum of its proper divisors (9983187132).

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

4434140100 is a wasteful number, since it uses less digits than its factorization.

4434140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49486 (or 49479 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4434140100 is about 66589.3392368478. The cubic root of 4434140100 is about 1642.8697647063.

Adding to 4434140100 its reverse (10414344), we get a palindrome (4444554444).

The spelling of 4434140100 in words is "four billion, four hundred thirty-four million, one hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 29900 44850 49433 89700 98866 148299 197732 247165 296598 494330 593196 642629 741495 988660 1136959 1235825 1285258 1482990 1927887 2273918 2471650 2570516 2965980 3213145 3410877 3707475 3855774 4547836 4943300 5684795 6426290 6821754 7414950 7711548 9639435 11369590 12852580 13643508 14780467 14829900 16065725 17054385 19278870 22739180 28423975 29560934 32131450 34108770 38557740 44341401 48197175 56847950 59121868 64262900 68217540 73902335 85271925 88682802 96394350 113695900 147804670 170543850 177365604 192788700 221707005 295609340 341087700 369511675 443414010 739023350 886828020 1108535025 1478046700 2217070050 4434140100