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4128008940 = 2233511694951
BaseRepresentation
bin1111011000001100…
…0110101011101100
3101122200120120201000
43312003012223230
531423232241230
61521341320300
7204203332326
oct36603065354
911580516630
104128008940
111829176240
12972566090
1350a2c0b53
142b2356616
1519260db60
hexf60c6aec

4128008940 has 96 divisors (see below), whose sum is σ = 14010232320. Its totient is φ = 1000728000.

The previous prime is 4128008923. The next prime is 4128008959. The reversal of 4128008940 is 498008214.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4128008895 and 4128008904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341536 + ... + 353415.

It is an arithmetic number, because the mean of its divisors is an integer number (145939920).

Almost surely, 24128008940 is an apocalyptic number.

It is an amenable number.

4128008940 is an abundant number, since it is smaller than the sum of its proper divisors (9882223380).

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

4128008940 is a wasteful number, since it uses less digits than its factorization.

4128008940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694980 (or 694972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4128008940 is about 64249.5831893095. The cubic root of 4128008940 is about 1604.1570208614.

The spelling of 4128008940 in words is "four billion, one hundred twenty-eight million, eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 694951 1389902 2084853 2779804 3474755 4169706 6254559 6949510 7644461 8339412 10424265 12509118 13899020 15288922 18763677 20848530 22933383 25018236 30577844 31272795 37527354 38222305 41697060 45866766 62545590 68800149 75054708 76444610 91733532 93818385 114666915 125091180 137600298 152889220 187636770 206400447 229333830 275200596 344000745 375273540 412800894 458667660 688001490 825601788 1032002235 1376002980 2064004470 4128008940