Search a number
-
+
2040140040 = 2335371992309
BaseRepresentation
bin111100110011010…
…0001000100001000
312021011212212000020
41321212201010020
513134233440130
6534235140440
7101361622101
oct17146410410
95234785006
102040140040
11957673454
1248b2a4720
1326688c873
14154d473a8
15be190e10
hex799a1108

2040140040 has 128 divisors (see below), whose sum is σ = 6320160000. Its totient is φ = 526445568.

The previous prime is 2040140009. The next prime is 2040140051. The reversal of 2040140040 is 400410402.

It is a super-2 number, since 2×20401400402 = 8324342765622403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 882406 + ... + 884714.

It is an arithmetic number, because the mean of its divisors is an integer number (49376250).

Almost surely, 22040140040 is an apocalyptic number.

2040140040 is a gapful number since it is divisible by the number (20) 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 2040140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160080000).

2040140040 is an abundant number, since it is smaller than the sum of its proper divisors (4280019960).

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

2040140040 is a wasteful number, since it uses less digits than its factorization.

2040140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2559 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2040140040 is about 45167.9094047976. The cubic root of 2040140040 is about 1268.2941613035.

Adding to 2040140040 its reverse (400410402), we get a palindrome (2440550442).

The spelling of 2040140040 in words is "two billion, forty million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 199 222 296 370 398 444 555 597 740 796 888 995 1110 1194 1480 1592 1990 2220 2309 2388 2985 3980 4440 4618 4776 5970 6927 7363 7960 9236 11545 11940 13854 14726 18472 22089 23090 23880 27708 29452 34635 36815 44178 46180 55416 58904 69270 73630 85433 88356 92360 110445 138540 147260 170866 176712 220890 256299 277080 294520 341732 427165 441780 459491 512598 683464 854330 883560 918982 1025196 1281495 1378473 1708660 1837964 2050392 2297455 2562990 2756946 3417320 3675928 4594910 5125980 5513892 6892365 9189820 10251960 11027784 13784730 17001167 18379640 27569460 34002334 51003501 55138920 68004668 85005835 102007002 136009336 170011670 204014004 255017505 340023340 408028008 510035010 680046680 1020070020 2040140040