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1211413040 = 24531488473
BaseRepresentation
bin100100000110100…
…1011001000110000
310010102111011021122
41020031023020300
54440110204130
6320112441412
742006561305
oct11015131060
93112434248
101211413040
115718a1602
12299849268
13163c8c266
14b6c610ac
15715422e5
hex4834b230

1211413040 has 40 divisors (see below), whose sum is σ = 2907397248. Its totient is φ = 468933120.

The previous prime is 1211412953. The next prime is 1211413043. The reversal of 1211413040 is 403141121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×12114130403 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211413043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241757 + ... + 246716.

Almost surely, 21211413040 is an apocalyptic number.

1211413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1211413040 is an abundant number, since it is smaller than the sum of its proper divisors (1695984208).

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

1211413040 is a wasteful number, since it uses less digits than its factorization.

1211413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488517 (or 488511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1211413040 is about 34805.3593574323. The cubic root of 1211413040 is about 1066.0168794195.

Adding to 1211413040 its reverse (403141121), we get a palindrome (1614554161).

The spelling of 1211413040 in words is "one billion, two hundred eleven million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 488473 976946 1953892 2442365 3907784 4884730 7815568 9769460 15142663 19538920 30285326 39077840 60570652 75713315 121141304 151426630 242282608 302853260 605706520 1211413040