Search a number
-
+
1224414142272 = 2633708572999
BaseRepresentation
bin10001110100010100110…
…001010001111101000000
311100001102112020001002000
4101310110301101331000
5130030100010023042
62334253232224000
7154314060326256
oct21642461217500
94301375201060
101224414142272
114322a8954582
1217937199b000
138b600637739
1443394b6a5d6
1521cb323574c
hex11d14c51f40

1224414142272 has 56 divisors (see below), whose sum is σ = 3599550840000. Its totient is φ = 408138046848.

The previous prime is 1224414142261. The next prime is 1224414142277. The reversal of 1224414142272 is 2722414144221.

1224414142272 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 414 + 14 + 227 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224414142277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354284772 + ... + 354288227.

Almost surely, 21224414142272 is an apocalyptic number.

1224414142272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1224414142272 is an abundant number, since it is smaller than the sum of its proper divisors (2375136697728).

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

1224414142272 is an equidigital number, since it uses as much as digits as its factorization.

1224414142272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708573020 (or 708573004 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

Adding to 1224414142272 its reverse (2722414144221), we get a palindrome (3946828286493).

The spelling of 1224414142272 in words is "one trillion, two hundred twenty-four billion, four hundred fourteen million, one hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 708572999 1417145998 2125718997 2834291996 4251437994 5668583992 6377156991 8502875988 11337167984 12754313982 17005751976 19131470973 22674335968 25508627964 34011503952 38262941946 45348671936 51017255928 68023007904 76525883892 102034511856 136046015808 153051767784 204069023712 306103535568 408138047424 612207071136 1224414142272