Search a number
-
+
1119214638 = 233233141709
BaseRepresentation
bin100001010110101…
…1101110000101110
32212222222222212000
41002231131300232
54243004332023
6303020353130
736510111303
oct10255356056
92788888760
101119214638
11524849583
122729a57a6
1314ab4a7a9
14a89010aa
15683ce243
hex42b5dc2e

1119214638 has 128 divisors (see below), whose sum is σ = 2748211200. Its totient is φ = 336441600.

The previous prime is 1119214637. The next prime is 1119214639. The reversal of 1119214638 is 8364129111.

1119214638 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 2 + 14 + 638 = 666.

1119214638 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1119214637) and next prime (1119214639).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1119214631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1578228 + ... + 1578936.

It is an arithmetic number, because the mean of its divisors is an integer number (21470400).

Almost surely, 21119214638 is an apocalyptic number.

1119214638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1119214638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374105600).

1119214638 is an abundant number, since it is smaller than the sum of its proper divisors (1628996562).

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

1119214638 is a wasteful number, since it uses less digits than its factorization.

1119214638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1119214638 is about 33454.6654145577. The cubic root of 1119214638 is about 1038.2560262567.

The spelling of 1119214638 in words is "one billion, one hundred nineteen million, two hundred fourteen thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23 27 31 41 46 54 62 69 82 93 123 138 186 207 246 279 369 414 558 621 709 713 738 837 943 1107 1242 1271 1418 1426 1674 1886 2127 2139 2214 2542 2829 3813 4254 4278 5658 6381 6417 7626 8487 11439 12762 12834 16307 16974 19143 19251 21979 22878 25461 29069 29233 32614 34317 38286 38502 43958 48921 50922 58138 58466 65937 68634 87207 87699 97842 131874 146763 174414 175398 197811 261621 263097 293526 395622 440289 505517 523242 526194 593433 668587 784863 789291 880578 901139 1011034 1186866 1337174 1516551 1569726 1578582 1802278 2005761 2703417 3033102 4011522 4549653 5406834 6017283 8110251 9099306 12034566 13648959 16220502 18051849 20726197 24330753 27297918 36103698 41452394 48661506 62178591 124357182 186535773 373071546 559607319 1119214638