Search a number
-
+
1134041442030 = 2355766669103
BaseRepresentation
bin10000100000001010001…
…000110010011011101110
311000102011022001012100000
4100200022020302123232
5122040004102121110
62224545455445130
7144634414132140
oct20401210623356
94012138035300
101134041442030
113a7a42914262
121639502267a6
1382c2a541a93
143cc60572c90
151e7742d91c0
hex1080a2326ee

1134041442030 has 96 divisors (see below), whose sum is σ = 3494527755264. Its totient is φ = 259209468576.

The previous prime is 1134041442029. The next prime is 1134041442041. The reversal of 1134041442030 is 302441404311.

1134041442030 is a `hidden beast` number, since 1 + 1 + 3 + 40 + 414 + 4 + 203 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1134041441985 and 1134041442003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33317542 + ... + 33351561.

It is an arithmetic number, because the mean of its divisors is an integer number (36401330784).

Almost surely, 21134041442030 is an apocalyptic number.

1134041442030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1134041442030 is an abundant number, since it is smaller than the sum of its proper divisors (2360486313234).

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

1134041442030 is an equidigital number, since it uses as much as digits as its factorization.

1134041442030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66669132 (or 66669120 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1134041442030 its reverse (302441404311), we get a palindrome (1436482846341).

The spelling of 1134041442030 in words is "one trillion, one hundred thirty-four billion, forty-one million, four hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 66669103 133338206 200007309 333345515 400014618 466683721 600021927 666691030 933367442 1000036545 1200043854 1400051163 1800065781 2000073090 2333418605 2800102326 3000109635 3600131562 4200153489 4666837210 5400197343 6000219270 7000255815 8400306978 9000328905 10800394686 12600460467 14000511630 16200592029 18000657810 21000767445 25200920934 27000986715 32401184058 37801381401 42001534890 54001973430 63002302335 75602762802 81002960145 113404144203 126004604670 162005920290 189006907005 226808288406 378013814010 567020721015 1134041442030