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40430460069 = 331719371071171
BaseRepresentation
bin100101101001110101…
…111101110010100101
310212100200001011201000
4211221311331302211
51130300144210234
630323513023513
72630622145266
oct455165756245
9125320034630
1040430460069
1116167a3906a
127a040b4b99
133a742ca36c
141d5782096d
1510b96b5899
hex969d7dca5

40430460069 has 128 divisors (see below), whose sum is σ = 69262387200. Its totient is φ = 23145108480.

The previous prime is 40430460067. The next prime is 40430460073. The reversal of 40430460069 is 96006403404.

40430460069 is a `hidden beast` number, since 4 + 0 + 43 + 0 + 4 + 600 + 6 + 9 = 666.

It is not a de Polignac number, because 40430460069 - 21 = 40430460067 is a prime.

It is a super-2 number, since 2×404304600692 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40430460061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34525854 + ... + 34527024.

It is an arithmetic number, because the mean of its divisors is an integer number (541112400).

Almost surely, 240430460069 is an apocalyptic number.

It is an amenable number.

40430460069 is a deficient number, since it is larger than the sum of its proper divisors (28831927131).

40430460069 is a wasteful number, since it uses less digits than its factorization.

40430460069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40430460069 in words is "forty billion, four hundred thirty million, four hundred sixty thousand, sixty-nine".

Divisors: 1 3 9 17 19 27 37 51 57 107 111 153 171 321 323 333 459 513 629 703 963 969 999 1171 1819 1887 2033 2109 2889 2907 3513 3959 5457 5661 6099 6327 8721 10539 11877 11951 16371 16983 18297 18981 19907 22249 31617 34561 35631 35853 43327 49113 54891 59721 66747 67303 75221 103683 106893 107559 125297 129981 179163 200241 201909 225663 311049 322677 375891 378233 389943 537489 600723 605727 676989 736559 823213 933147 1127673 1134699 1169829 1278757 1817181 2030967 2130049 2209677 2380643 2469639 3383019 3404097 3836271 4635989 6390147 6629031 7141929 7408917 10212291 11508813 13907967 13994621 19170441 19887093 21425787 22226751 34526439 40470931 41723901 41983863 57511323 64277361 78811813 88083791 121412793 125171703 125951589 236435439 264251373 364238379 377854767 709306317 792754119 1092715137 1497424447 2127918951 2378262357 4492273341 13476820023 40430460069