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11145000408 = 2334359183041
BaseRepresentation
bin10100110000100101…
…10011010111011000
31001202201021200101220
422120102303113120
5140311110003113
65041524012040
7543116640363
oct123022632730
931681250356
1011145000408
1147aa075843
1221b0531020
131087c959c9
1477a2570da
15453682523
hex2984b35d8

11145000408 has 64 divisors (see below), whose sum is σ = 28993852800. Its totient is φ = 3567083520.

The previous prime is 11145000407. The next prime is 11145000413. The reversal of 11145000408 is 80400054111.

It is a super-2 number, since 2×111450004082 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145000407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30633 + ... + 152408.

It is an arithmetic number, because the mean of its divisors is an integer number (453028950).

Almost surely, 211145000408 is an apocalyptic number.

It is an amenable number.

11145000408 is an abundant number, since it is smaller than the sum of its proper divisors (17848852392).

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

11145000408 is a wasteful number, since it uses less digits than its factorization.

11145000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183152 (or 183148 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 11145000408 its reverse (80400054111), we get a palindrome (91545054519).

The spelling of 11145000408 in words is "eleven billion, one hundred forty-five million, four hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 43 59 86 118 129 172 177 236 258 344 354 472 516 708 1032 1416 2537 5074 7611 10148 15222 20296 30444 60888 183041 366082 549123 732164 1098246 1464328 2196492 4392984 7870763 10799419 15741526 21598838 23612289 31483052 32398257 43197676 47224578 62966104 64796514 86395352 94449156 129593028 188898312 259186056 464375017 928750034 1393125051 1857500068 2786250102 3715000136 5572500204 11145000408