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4421020440 = 2335235330223
BaseRepresentation
bin1000001111000001…
…10110101100011000
3102102002221002220210
410013200312230120
533023240123230
62010405451120
7214362024264
oct40740665430
912362832823
104421020440
111969607101
12a34710aa0
13555c12a35
142dd22b0a4
151ad1dbeb0
hex107836b18

4421020440 has 128 divisors (see below), whose sum is σ = 14101309440. Its totient is φ = 1106366976.

The previous prime is 4421020427. The next prime is 4421020477. The reversal of 4421020440 is 440201244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131169 + ... + 161391.

It is an arithmetic number, because the mean of its divisors is an integer number (110166480).

Almost surely, 24421020440 is an apocalyptic number.

4421020440 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 4421020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050654720).

4421020440 is an abundant number, since it is smaller than the sum of its proper divisors (9680289000).

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

4421020440 is a wasteful number, since it uses less digits than its factorization.

4421020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30313 (or 30309 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4421020440 is about 66490.7545452749. The cubic root of 4421020440 is about 1641.2478654557.

Adding to 4421020440 its reverse (440201244), we get a palindrome (4861221684).

The spelling of 4421020440 in words is "four billion, four hundred twenty-one million, twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 53 60 69 92 106 115 120 138 159 184 212 230 265 276 318 345 424 460 530 552 636 690 795 920 1060 1219 1272 1380 1590 2120 2438 2760 3180 3657 4876 6095 6360 7314 9752 12190 14628 18285 24380 29256 30223 36570 48760 60446 73140 90669 120892 146280 151115 181338 241784 302230 362676 453345 604460 695129 725352 906690 1208920 1390258 1601819 1813380 2085387 2780516 3203638 3475645 3626760 4170774 4805457 5561032 6407276 6951290 8009095 8341548 9610914 10426935 12814552 13902580 16018190 16683096 19221828 20853870 24027285 27805160 32036380 36841837 38443656 41707740 48054570 64072760 73683674 83415480 96109140 110525511 147367348 184209185 192218280 221051022 294734696 368418370 442102044 552627555 736836740 884204088 1105255110 1473673480 2210510220 4421020440