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1218331140 = 2235132532267
BaseRepresentation
bin100100010011110…
…0100001000000100
310010220111122010120
41020213210020010
54443343044030
6320521021540
742122433555
oct11047441004
93126448116
101218331140
11575797244
122a00248b0
13165542100
14b7b4232c
1571e5c010
hex489e4204

1218331140 has 144 divisors (see below), whose sum is σ = 3765279168. Its totient is φ = 294108672.

The previous prime is 1218331117. The next prime is 1218331157. The reversal of 1218331140 is 411338121.

It is a self number, because there is not a number n which added to its sum of digits gives 1218331140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536287 + ... + 538553.

It is an arithmetic number, because the mean of its divisors is an integer number (26147772).

Almost surely, 21218331140 is an apocalyptic number.

1218331140 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 1218331140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882639584).

1218331140 is an abundant number, since it is smaller than the sum of its proper divisors (2546948028).

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

1218331140 is a wasteful number, since it uses less digits than its factorization.

1218331140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1218331140 is about 34904.6005563737. The cubic root of 1218331140 is about 1068.0422874586.

Adding to 1218331140 its reverse (411338121), we get a palindrome (1629669261).

The spelling of 1218331140 in words is "one billion, two hundred eighteen million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 53 60 65 78 106 130 156 159 169 195 212 260 265 318 338 390 507 530 636 676 689 780 795 845 1014 1060 1378 1590 1690 2028 2067 2267 2535 2756 3180 3380 3445 4134 4534 5070 6801 6890 8268 8957 9068 10140 10335 11335 13602 13780 17914 20670 22670 26871 27204 29471 34005 35828 41340 44785 45340 53742 58942 68010 88413 89570 107484 117884 120151 134355 136020 147355 176826 179140 240302 268710 294710 353652 360453 383123 442065 480604 537420 589420 600755 720906 766246 884130 1149369 1201510 1441812 1532492 1561963 1768260 1802265 1915615 2298738 2403020 3123926 3604530 3831230 4597476 4685889 5746845 6247852 7209060 7662460 7809815 9371778 11493690 15619630 18743556 20305519 22987380 23429445 31239260 40611038 46858890 60916557 81222076 93717780 101527595 121833114 203055190 243666228 304582785 406110380 609165570 1218331140