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1224021142134 = 232725583379723
BaseRepresentation
bin10001110011111101010…
…110000110101001110110
311100000102010201120020100
4101303331112012221312
5130023243403022014
62334150233014530
7154301246020260
oct21637526065166
94300363646210
101224021142134
1143211702a77a
12179282254446
138b56a0a728b
14433588a8b30
1521c8d9a6009
hex11cfd586a76

1224021142134 has 48 divisors (see below), whose sum is σ = 3031035950592. Its totient is φ = 349705735344.

The previous prime is 1224021142103. The next prime is 1224021142199. The reversal of 1224021142134 is 4312411204221.

1224021142134 is a `hidden beast` number, since 1 + 2 + 24 + 0 + 211 + 421 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1224021142098 and 1224021142107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3033597 + ... + 3413319.

It is an arithmetic number, because the mean of its divisors is an integer number (63146582304).

Almost surely, 21224021142134 is an apocalyptic number.

1224021142134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1224021142134 is an abundant number, since it is smaller than the sum of its proper divisors (1807014808458).

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

1224021142134 is a wasteful number, since it uses less digits than its factorization.

1224021142134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405321 (or 405318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1224021142134 its reverse (4312411204221), we get a palindrome (5536432346355).

The spelling of 1224021142134 in words is "one trillion, two hundred twenty-four billion, twenty-one million, one hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 25583 51166 76749 153498 179081 230247 358162 379723 460494 537243 759446 1074486 1139169 1611729 2278338 2658061 3223458 3417507 5316122 6835014 7974183 15948366 23922549 47845098 9714453509 19428907018 29143360527 58286721054 68001174563 87430081581 136002349126 174860163162 204003523689 408007047378 612010571067 1224021142134