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1141916238 = 233293312203
BaseRepresentation
bin100010000010000…
…0100001001001110
32221120201100121000
41010010010021032
54314312304423
6305151121130
740204061601
oct10404041116
92846640530
101141916238
11536644631
1227a5131a6
131527687a8
14ab930338
156a3b5843
hex4410424e

1141916238 has 64 divisors (see below), whose sum is σ = 2634220800. Its totient is φ = 366236640.

The previous prime is 1141916221. The next prime is 1141916239. The reversal of 1141916238 is 8326191411.

1141916238 is a `hidden beast` number, since 1 + 1 + 419 + 1 + 6 + 238 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141916239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517245 + ... + 519447.

It is an arithmetic number, because the mean of its divisors is an integer number (41159700).

Almost surely, 21141916238 is an apocalyptic number.

1141916238 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 1141916238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317110400).

1141916238 is an abundant number, since it is smaller than the sum of its proper divisors (1492304562).

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

1141916238 is a wasteful number, since it uses less digits than its factorization.

1141916238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2568 counting only the distinct ones).

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

The square root of 1141916238 is about 33792.2511531860. The cubic root of 1141916238 is about 1045.2289168303.

The spelling of 1141916238 in words is "one billion, one hundred forty-one million, nine hundred sixteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 331 522 662 783 993 1566 1986 2203 2979 4406 5958 6609 8937 9599 13218 17874 19198 19827 28797 39654 57594 59481 63887 86391 118962 127774 172782 191661 259173 383322 518346 574983 729193 1149966 1458386 1724949 2187579 3449898 4375158 6562737 13125474 19688211 21146597 39376422 42293194 63439791 126879582 190319373 380638746 570958119 1141916238