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1145438118 = 2331113913873
BaseRepresentation
bin100010001000101…
…1111111110100110
32221211100021201000
41010101133332212
54321213004433
6305354414130
740246030506
oct10421377646
92854307630
101145438118
1153862a680
1227b731346
131533cc846
14ac1a9a06
156a85e113
hex4445ffa6

1145438118 has 64 divisors (see below), whose sum is σ = 2796998400. Its totient is φ = 344580480.

The previous prime is 1145438113. The next prime is 1145438149. The reversal of 1145438118 is 8118345411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145438113) 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 31 ways as a sum of consecutive naturals, for example, 75630 + ... + 89502.

It is an arithmetic number, because the mean of its divisors is an integer number (43703100).

Almost surely, 21145438118 is an apocalyptic number.

1145438118 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 1145438118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398499200).

1145438118 is an abundant number, since it is smaller than the sum of its proper divisors (1651560282).

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

1145438118 is a wasteful number, since it uses less digits than its factorization.

1145438118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14034 (or 14028 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 1145438118 is about 33844.3217984938. The cubic root of 1145438118 is about 1046.3023735039.

The spelling of 1145438118 in words is "one billion, one hundred forty-five million, four hundred thirty-eight thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 139 198 278 297 417 594 834 1251 1529 2502 3058 3753 4587 7506 9174 13761 13873 27522 27746 41283 41619 82566 83238 124857 152603 249714 305206 374571 457809 749142 915618 1373427 1928347 2746854 3856694 4120281 5785041 8240562 11570082 17355123 21211817 34710246 42423634 52065369 63635451 104130738 127270902 190906353 381812706 572719059 1145438118