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1135431435411 = 327134097974253
BaseRepresentation
bin10000100001011100111…
…111001100010010010011
311000112202011120011210100
4100201130333030102103
5122100330421413121
62225335432103443
7145014022650030
oct20413477142223
94015664504710
101135431435411
113a8596498919
12164079834b83
13830bc4c8980
143cd52ddc387
151e806354026
hex1085cfcc493

1135431435411 has 96 divisors (see below), whose sum is σ = 2026495336320. Its totient is φ = 596554647552.

The previous prime is 1135431435403. The next prime is 1135431435431. The reversal of 1135431435411 is 1145341345311.

It is a happy number.

1135431435411 is a `hidden beast` number, since 1 + 1 + 35 + 43 + 1 + 43 + 541 + 1 = 666.

It is not a de Polignac number, because 1135431435411 - 23 = 1135431435403 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1135431435431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 266969761 + ... + 266974013.

It is an arithmetic number, because the mean of its divisors is an integer number (21109326420).

Almost surely, 21135431435411 is an apocalyptic number.

1135431435411 is a deficient number, since it is larger than the sum of its proper divisors (891063900909).

1135431435411 is a wasteful number, since it uses less digits than its factorization.

1135431435411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5482 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 1135431435411 in words is "one trillion, one hundred thirty-five billion, four hundred thirty-one million, four hundred thirty-five thousand, four hundred eleven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 409 797 819 1227 2391 2863 3681 4253 5317 5579 7173 8589 10361 12759 15951 16737 25767 29771 31083 37219 38277 47853 50211 55289 72527 89313 93249 111657 165867 217581 267939 325973 334971 387023 497601 652743 977919 1161069 1739477 2281811 2933757 3389641 3483207 4237649 5218431 6845433 10168923 12176339 12712947 15655293 20536299 22613201 23727487 29663543 30506769 36529017 38138841 44065333 67839603 71182461 88990629 109587051 132195999 158292407 203518809 213547383 266971887 308457331 396587997 474877221 925371993 1386363169 1424631663 2776115979 4159089507 9704542183 12477268521 18022721197 29113626549 54068163591 87340879647 126159048379 162204490773 378477145137 1135431435411