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40312032221043 = 33112313214118413
BaseRepresentation
bin10010010101001111000000…
…10111000101011101110011
312021201210101211121012101000
421022213200113011131303
520240433020222033133
6221423031505413043
711330306511131622
oct1112474027053563
9167653354535330
1040312032221043
1111932267290100
1246308aa03a183
13196554012ca9b
149d51816256b9
1549d91d8b3413
hex24a9e05c5773

40312032221043 has 96 divisors (see below), whose sum is σ = 65888388498240. Its totient is φ = 24340781836800.

The previous prime is 40312032220979. The next prime is 40312032221059. The reversal of 40312032221043 is 34012223021304.

40312032221043 is a `hidden beast` number, since 4 + 0 + 3 + 120 + 322 + 210 + 4 + 3 = 666.

40312032221043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40312032221043 - 26 = 40312032220979 is a prime.

It is a super-2 number, since 2×403120322210432 (a number of 28 digits) contains 22 as substring.

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 = 40312032220998 and 40312032221016.

It is not an unprimeable number, because it can be changed into a prime (40312032222043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2189315305 + ... + 2189333717.

It is an arithmetic number, because the mean of its divisors is an integer number (686337380190).

Almost surely, 240312032221043 is an apocalyptic number.

40312032221043 is a deficient number, since it is larger than the sum of its proper divisors (25576356277197).

40312032221043 is a wasteful number, since it uses less digits than its factorization.

40312032221043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898 (or 20881 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40312032221043 its reverse (34012223021304), we get a palindrome (74324255242347).

The spelling of 40312032221043 in words is "forty trillion, three hundred twelve billion, thirty-two million, two hundred twenty-one thousand, forty-three".

Divisors: 1 3 9 11 27 33 99 121 297 313 363 939 1089 2141 2817 3267 3443 6423 8451 10329 18413 19269 23551 30987 37873 55239 57807 70653 92961 113619 165717 202543 211959 259061 340857 497151 607629 635877 670133 777183 1022571 1822887 2010399 2227973 2331549 5468661 5763269 6031197 6683919 6994647 7371463 17289807 18093591 20051757 22114389 39422233 51869421 60155271 63395959 66343167 81086093 118266699 155608263 190187877 199029501 243258279 354800097 433644563 570563631 697355549 729774837 1064400291 1300933689 1711690893 2092066647 2189324511 3902801067 4770090193 6276199941 11708403201 12339158929 14310270579 18828599823 37017476787 42930811737 111052430361 128792435211 135730748219 333157291083 407192244657 1221576733971 1493038230409 3664730201913 4479114691227 13437344073681 40312032221043