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4143011620 = 2251123297367
BaseRepresentation
bin1111011011110001…
…0101011100100100
3101200201210210111211
43312330111130210
531441102332440
61523035041204
7204445006036
oct36674253444
911621723454
104143011620
111836692a50
129775a0204
13510444787
142b433dc56
15193ac3eea
hexf6f15724

4143011620 has 144 divisors (see below), whose sum is σ = 10051469568. Its totient is φ = 1422305280.

The previous prime is 4143011581. The next prime is 4143011669. The reversal of 4143011620 is 261103414.

It is a super-3 number, since 3×41430116203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4143011591 and 4143011600.

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, 11288677 + ... + 11289043.

It is an arithmetic number, because the mean of its divisors is an integer number (69801872).

Almost surely, 24143011620 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 4143011620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025734784).

4143011620 is an abundant number, since it is smaller than the sum of its proper divisors (5908457948).

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

4143011620 is a wasteful number, since it uses less digits than its factorization.

4143011620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4143011620 is about 64366.2304318033. The cubic root of 4143011620 is about 1606.0980339003.

The spelling of 4143011620 in words is "four billion, one hundred forty-three million, eleven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 97 110 115 194 220 230 253 367 388 460 485 506 529 734 970 1012 1058 1067 1265 1468 1835 1940 2116 2134 2231 2530 2645 3670 4037 4268 4462 5060 5290 5335 5819 7340 8074 8441 8924 10580 10670 11155 11638 16148 16882 20185 21340 22310 23276 24541 29095 33764 35599 40370 42205 44620 49082 51313 58190 71198 80740 84410 92851 98164 102626 116380 122705 142396 168820 177995 185702 194143 205252 245410 256565 355990 371404 388286 391589 464255 490820 513130 564443 711980 776572 783178 818777 928510 970715 1026260 1128886 1566356 1637554 1857020 1941430 1957945 2135573 2257772 2822215 3275108 3882860 3915890 4093885 4271146 5644430 7831780 8187770 8542292 9006547 10677865 11288860 16375540 18013094 18831871 21355730 36026188 37663742 42711460 45032735 75327484 90065470 94159355 180130940 188318710 207150581 376637420 414301162 828602324 1035752905 2071505810 4143011620