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4441313340 = 22325231576833
BaseRepresentation
bin1000010001011100…
…10001000000111100
3102110112010002112200
410020232101000330
533043434011330
62012412431500
7215026353252
oct41056210074
912415102480
104441313340
11197a0074a2
12a3b478590
1355a199579
14301bd05d2
151aed99a60
hex108b9103c

4441313340 has 144 divisors (see below), whose sum is σ = 14149332288. Its totient is φ = 1125476352.

The previous prime is 4441313297. The next prime is 4441313381. The reversal of 4441313340 is 433131444.

4441313340 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 313 + 340 = 666.

It is a congruent number.

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, 646564 + ... + 653396.

It is an arithmetic number, because the mean of its divisors is an integer number (98259252).

Almost surely, 24441313340 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 4441313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074666144).

4441313340 is an abundant number, since it is smaller than the sum of its proper divisors (9708018948).

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

4441313340 is a wasteful number, since it uses less digits than its factorization.

4441313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4441313340 is about 66643.1792458913. The cubic root of 4441313340 is about 1643.7551938036.

Adding to 4441313340 its reverse (433131444), we get a palindrome (4874444784).

The spelling of 4441313340 in words is "four billion, four hundred forty-one million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 157 180 207 230 276 314 345 414 460 471 628 690 785 828 942 1035 1380 1413 1570 1884 2070 2355 2826 3140 3611 4140 4710 5652 6833 7065 7222 9420 10833 13666 14130 14444 18055 20499 21666 27332 28260 32499 34165 36110 40998 43332 54165 61497 64998 68330 72220 81996 102495 108330 122994 129996 136660 157159 162495 204990 216660 245988 307485 314318 324990 409980 471477 614970 628636 649980 785795 942954 1072781 1229940 1414431 1571590 1885908 2145562 2357385 2828862 3143180 3218343 4291124 4714770 5363905 5657724 6436686 7072155 9429540 9655029 10727810 12873372 14144310 16091715 19310058 21455620 24673963 28288620 32183430 38620116 48275145 49347926 64366860 74021889 96550290 98695852 123369815 148043778 193100580 222065667 246739630 296087556 370109445 444131334 493479260 740218890 888262668 1110328335 1480437780 2220656670 4441313340