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4263705040 = 2457231093037
BaseRepresentation
bin1111111000100010…
…1111100111010000
3102000010220122202111
43332020233213100
532213002030130
61543025555104
7210441615640
oct37610574720
912003818674
104263705040
111898828781
129abaa5a94
1352c4521ba
142c639a520
1519e4b502a
hexfe22f9d0

4263705040 has 160 divisors (see below), whose sum is σ = 11934236160. Its totient is φ = 1384998912.

The previous prime is 4263705037. The next prime is 4263705041. The reversal of 4263705040 is 405073624.

It is a junction number, because it is equal to n+sod(n) for n = 4263704993 and 4263705011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4263705041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402402 + ... + 1405438.

It is an arithmetic number, because the mean of its divisors is an integer number (74588976).

Almost surely, 24263705040 is an apocalyptic number.

4263705040 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 4263705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967118080).

4263705040 is an abundant number, since it is smaller than the sum of its proper divisors (7670531120).

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

4263705040 is a wasteful number, since it uses less digits than its factorization.

4263705040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3189 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 4263705040 is about 65297.0523071295. The cubic root of 4263705040 is about 1621.5451700472.

Adding to 4263705040 its reverse (405073624), we get a palindrome (4668778664).

The spelling of 4263705040 in words is "four billion, two hundred sixty-three million, seven hundred five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 109 112 115 140 161 184 218 230 280 322 368 436 460 545 560 644 763 805 872 920 1090 1288 1526 1610 1744 1840 2180 2507 2576 3037 3052 3220 3815 4360 5014 6074 6104 6440 7630 8720 10028 12148 12208 12535 12880 15185 15260 17549 20056 21259 24296 25070 30370 30520 35098 40112 42518 48592 50140 60740 61040 69851 70196 85036 87745 100280 106295 121480 139702 140392 170072 175490 200560 212590 242960 279404 280784 331033 340144 349255 350980 425180 488957 558808 662066 698510 701960 850360 977914 1117616 1324132 1397020 1403920 1655165 1700720 1955828 2317231 2444785 2648264 2794040 3310330 3911656 4634462 4889570 5296528 5588080 6620660 7613759 7823312 9268924 9779140 11586155 13241320 15227518 18537848 19558280 23172310 26482640 30455036 37075696 38068795 39116560 46344620 53296313 60910072 76137590 92689240 106592626 121820144 152275180 185378480 213185252 266481565 304550360 426370504 532963130 609100720 852741008 1065926260 2131852520 4263705040