Search a number
-
+
1132441034112 = 27323732635447
BaseRepresentation
bin10000011110101010101…
…111101101110110000000
311000021000202121001101200
4100132222233231312000
5122023214401042422
62224123005301200
7144546641652633
oct20365257556600
94007022531350
101132441034112
113a72a1494093
12163584264800
1382a33ac544b
143cb4bbb3c1a
151e6cda592ac
hex107aabedd80

1132441034112 has 96 divisors (see below), whose sum is σ = 3267454784880. Its totient is φ = 376468190208.

The previous prime is 1132441034111. The next prime is 1132441034113. The reversal of 1132441034112 is 2114301442311.

It is a happy number.

1132441034112 is a `hidden beast` number, since 1 + 1 + 3 + 244 + 1 + 0 + 3 + 411 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1132441034111) and next prime (1132441034113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132441034111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 888028 + ... + 1747419.

Almost surely, 21132441034112 is an apocalyptic number.

1132441034112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132441034112 is an abundant number, since it is smaller than the sum of its proper divisors (2135013750768).

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

1132441034112 is a wasteful number, since it uses less digits than its factorization.

1132441034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635840 (or 2635825 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1132441034112 its reverse (2114301442311), we get a palindrome (3246742476423).

The spelling of 1132441034112 in words is "one trillion, one hundred thirty-two billion, four hundred forty-one million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 373 384 576 746 1119 1152 1492 2238 2984 3357 4476 5968 6714 8952 11936 13428 17904 23872 26856 35808 47744 53712 71616 107424 143232 214848 429696 2635447 5270894 7906341 10541788 15812682 21083576 23719023 31625364 42167152 47438046 63250728 84334304 94876092 126501456 168668608 189752184 253002912 337337216 379504368 506005824 759008736 983021731 1012011648 1518017472 1966043462 2949065193 3036034944 3932086924 5898130386 7864173848 8847195579 11796260772 15728347696 17694391158 23592521544 31456695392 35388782316 47185043088 62913390784 70777564632 94370086176 125826781568 141555129264 188740172352 283110258528 377480344704 566220517056 1132441034112