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4105044240 = 2435111981839
BaseRepresentation
bin1111010010101110…
…0000000100010000
3101121002100212001120
43310223200010100
531401342403430
61515201202240
7203504205003
oct36453400420
911532325046
104105044240
111817210550
12966930380
1350561017b
142ad29953a
151905c4610
hexf4ae0110

4105044240 has 160 divisors (see below), whose sum is σ = 14613350400. Its totient is φ = 942773760.

The previous prime is 4105044197. The next prime is 4105044253. The reversal of 4105044240 is 424405014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4105044240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9241 + ... + 91079.

It is an arithmetic number, because the mean of its divisors is an integer number (91333440).

Almost surely, 24105044240 is an apocalyptic number.

4105044240 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 4105044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306675200).

4105044240 is an abundant number, since it is smaller than the sum of its proper divisors (10508306160).

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

4105044240 is a wasteful number, since it uses less digits than its factorization.

4105044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81885 (or 81879 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4105044240 is about 64070.6191635448. The cubic root of 4105044240 is about 1601.1767697126.

Adding to 4105044240 its reverse (424405014), we get a palindrome (4529449254).

The spelling of 4105044240 in words is "four billion, one hundred five million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2508 2640 3135 3344 4180 4560 5016 6270 8360 10032 12540 16720 25080 50160 81839 163678 245517 327356 409195 491034 654712 818390 900229 982068 1227585 1309424 1554941 1636780 1800458 1964136 2455170 2700687 3109882 3273560 3600916 3928272 4501145 4664823 4910340 5401374 6219764 6547120 7201832 7774705 9002290 9329646 9820680 10802748 12439528 13503435 14403664 15549410 17104351 18004580 18659292 19641360 21605496 23324115 24879056 27006870 31098820 34208702 36009160 37318584 43210992 46648230 51313053 54013740 62197640 68417404 72018320 74637168 85521755 93296460 102626106 108027480 124395280 136834808 171043510 186592920 205252212 216054960 256565265 273669616 342087020 373185840 410504424 513130530 684174040 821008848 1026261060 1368348080 2052522120 4105044240