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1014442440 = 2335115991283
BaseRepresentation
bin111100011101110…
…010100111001000
32121200212000102020
4330131302213020
54034144124230
6244355004440
734065422064
oct7435624710
92550760366
101014442440
11480698690
12243899720
13132225acb
1498a2aaa4
155e0d5810
hex3c7729c8

1014442440 has 128 divisors (see below), whose sum is σ = 3328128000. Its totient is φ = 245323520.

The previous prime is 1014442421. The next prime is 1014442441. The reversal of 1014442440 is 442444101.

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 1014442440.

It is not an unprimeable number, because it can be changed into a prime (1014442441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 790039 + ... + 791321.

It is an arithmetic number, because the mean of its divisors is an integer number (26001000).

Almost surely, 21014442440 is an apocalyptic number.

1014442440 is a gapful number since it is divisible by the number (10) 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 1014442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664064000).

1014442440 is an abundant number, since it is smaller than the sum of its proper divisors (2313685560).

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

1014442440 is a wasteful number, since it uses less digits than its factorization.

1014442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1903 counting only the distinct ones).

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

The square root of 1014442440 is about 31850.3130282891. The cubic root of 1014442440 is about 1004.7911548414.

Adding to 1014442440 its reverse (442444101), we get a palindrome (1456886541).

The spelling of 1014442440 in words is "one billion, fourteen million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 599 660 1198 1283 1320 1797 2396 2566 2995 3594 3849 4792 5132 5990 6415 6589 7188 7698 8985 10264 11980 12830 13178 14113 14376 15396 17970 19245 19767 23960 25660 26356 28226 30792 32945 35940 38490 39534 42339 51320 52712 56452 65890 70565 71880 76980 79068 84678 98835 112904 131780 141130 153960 158136 169356 197670 211695 263560 282260 338712 395340 423390 564520 768517 790680 846780 1537034 1693560 2305551 3074068 3842585 4611102 6148136 7685170 8453687 9222204 11527755 15370340 16907374 18444408 23055510 25361061 30740680 33814748 42268435 46111020 50722122 67629496 84536870 92222040 101444244 126805305 169073740 202888488 253610610 338147480 507221220 1014442440