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4144218960 = 243572466797
BaseRepresentation
bin1111011100000011…
…1100001101010000
3101200211002010200010
43313000330031100
531441410001320
61523120554520
7204461165010
oct36700741520
911624063603
104144218960
111837338052
12977a82a40
1351077818b
142b4575c40
15193c61ae0
hexf703c350

4144218960 has 80 divisors (see below), whose sum is σ = 14682381696. Its totient is φ = 947249664.

The previous prime is 4144218931. The next prime is 4144218961. The reversal of 4144218960 is 698124414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144218961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231719 + ... + 1235078.

Almost surely, 24144218960 is an apocalyptic number.

4144218960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144218960 is an abundant number, since it is smaller than the sum of its proper divisors (10538162736).

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

4144218960 is a wasteful number, since it uses less digits than its factorization.

4144218960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466820 (or 2466814 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4144218960 is about 64375.6084243093. The cubic root of 4144218960 is about 1606.2540329856.

The spelling of 4144218960 in words is "four billion, one hundred forty-four million, two hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2466797 4933594 7400391 9867188 12333985 14800782 17267579 19734376 24667970 29601564 34535158 37001955 39468752 49335940 51802737 59203128 69070316 74003910 86337895 98671880 103605474 118406256 138140632 148007820 172675790 197343760 207210948 259013685 276281264 296015640 345351580 414421896 518027370 592031280 690703160 828843792 1036054740 1381406320 2072109480 4144218960