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4441140240 = 243592919919
BaseRepresentation
bin1000010001011011…
…00110110000010000
3102110111210022002120
410020231212300100
533043412441430
62012405014240
7215025032505
oct41055466020
912414708076
104441140240
1119799a9439
12a3b3b4380
1355a138844
14301b874ac
151aed63610
hex108b66c10

4441140240 has 80 divisors (see below), whose sum is σ = 13783046400. Its totient is φ = 1182969856.

The previous prime is 4441140239. The next prime is 4441140281. The reversal of 4441140240 is 420411444.

It is a happy number.

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

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 4441140240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213001 + ... + 232919.

It is an arithmetic number, because the mean of its divisors is an integer number (172288080).

Almost surely, 24441140240 is an apocalyptic number.

4441140240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441140240 is an abundant number, since it is smaller than the sum of its proper divisors (9341906160).

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

4441140240 is a wasteful number, since it uses less digits than its factorization.

4441140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20864 (or 20858 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4441140240 is about 66641.8805256874. The cubic root of 4441140240 is about 1643.7338384297.

Adding to 4441140240 its reverse (420411444), we get a palindrome (4861551684).

The spelling of 4441140240 in words is "four billion, four hundred forty-one million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 929 1858 2787 3716 4645 5574 7432 9290 11148 13935 14864 18580 19919 22296 27870 37160 39838 44592 55740 59757 74320 79676 99595 111480 119514 159352 199190 222960 239028 298785 318704 398380 478056 597570 796760 956112 1195140 1593520 2390280 4780560 18504751 37009502 55514253 74019004 92523755 111028506 148038008 185047510 222057012 277571265 296076016 370095020 444114024 555142530 740190040 888228048 1110285060 1480380080 2220570120 4441140240