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4244359140 = 2232578234093
BaseRepresentation
bin1111110011111011…
…1100011111100100
3101221210111210011200
43330332330133210
532143023443030
61541055202500
7210115312620
oct37476743744
911853453150
104244359140
11188891492a
129a5516430
1352843a718
142c39a2180
1519c942d60
hexfcfbc7e4

4244359140 has 144 divisors (see below), whose sum is σ = 14735255808. Its totient is φ = 968723712.

The previous prime is 4244359139. The next prime is 4244359151. The reversal of 4244359140 is 419534424.

4244359140 is a `hidden beast` number, since 4 + 24 + 4 + 3 + 591 + 40 = 666.

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 = 4244359095 and 4244359104.

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, 1034934 + ... + 1039026.

Almost surely, 24244359140 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 4244359140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7367627904).

4244359140 is an abundant number, since it is smaller than the sum of its proper divisors (10490896668).

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

4244359140 is a wasteful number, since it uses less digits than its factorization.

4244359140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4244359140 is about 65148.7462657571. The cubic root of 4244359140 is about 1619.0889481890.

The spelling of 4244359140 in words is "four billion, two hundred forty-four million, three hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 823 1260 1646 2469 3292 4093 4115 4938 5761 7407 8186 8230 9876 11522 12279 12345 14814 16372 16460 17283 20465 23044 24558 24690 28651 28805 29628 34566 36837 37035 40930 49116 49380 51849 57302 57610 61395 69132 73674 74070 81860 85953 86415 103698 114604 115220 122790 143255 147348 148140 171906 172830 184185 207396 245580 257859 259245 286510 343812 345660 368370 429765 515718 518490 573020 736740 859530 1031436 1036980 1289295 1719060 2578590 3368539 5157180 6737078 10105617 13474156 16842695 20211234 23579773 30316851 33685390 40422468 47159546 50528085 60633702 67370780 70739319 94319092 101056170 117898865 121267404 141478638 151584255 202112340 212217957 235797730 282957276 303168510 353696595 424435914 471595460 606337020 707393190 848871828 1061089785 1414786380 2122179570 4244359140