Search a number
-
+
1140240132240 = 243511431909141
BaseRepresentation
bin10000100101111011100…
…110111010100010010000
311001000011021222021201220
4100211323212322202100
5122140202433212430
62231452531125040
7145244133131226
oct20457346724220
94030137867656
101140240132240
113aa633912a30
12164ba0143780
13836a7826901
143d28b902b16
151e9d85bd110
hex1097b9ba890

1140240132240 has 80 divisors (see below), whose sum is σ = 3856084819776. Its totient is φ = 276421849600.

The previous prime is 1140240132217. The next prime is 1140240132307. The reversal of 1140240132240 is 422310420411.

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 1140240132240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215951931 + ... + 215957210.

Almost surely, 21140240132240 is an apocalyptic number.

1140240132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140240132240 is an abundant number, since it is smaller than the sum of its proper divisors (2715844687536).

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

1140240132240 is a wasteful number, since it uses less digits than its factorization.

1140240132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431909168 (or 431909162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1140240132240 its reverse (422310420411), we get a palindrome (1562550552651).

The spelling of 1140240132240 in words is "one trillion, one hundred forty billion, two hundred forty million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 431909141 863818282 1295727423 1727636564 2159545705 2591454846 3455273128 4319091410 4751000551 5182909692 6478637115 6910546256 8638182820 9502001102 10365819384 12957274230 14253001653 17276365640 19004002204 20731638768 23755002755 25914548460 28506003306 34552731280 38008004408 47510005510 51829096920 57012006612 71265008265 76016008816 95020011020 103658193840 114024013224 142530016530 190040022040 228048026448 285060033060 380080044080 570120066120 1140240132240