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40414531341 = 3172297397227
BaseRepresentation
bin100101101000111001…
…001100111100001101
310212022120001220121010
4211220321030330031
51130232110000331
630322143355433
72630336563662
oct455071147415
9125276056533
1040414531341
1116159a49628
1279ba8b2b79
133a70c11092
141d55675a69
1510b80bae46
hex968e4cf0d

40414531341 has 96 divisors (see below), whose sum is σ = 60913319040. Its totient is φ = 23794089984.

The previous prime is 40414531301. The next prime is 40414531379. The reversal of 40414531341 is 14313541404.

40414531341 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 40414531341 - 211 = 40414529293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40414531299 and 40414531308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414531301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178037470 + ... + 178037696.

It is an arithmetic number, because the mean of its divisors is an integer number (634513740).

Almost surely, 240414531341 is an apocalyptic number.

It is an amenable number.

40414531341 is a deficient number, since it is larger than the sum of its proper divisors (20498787699).

40414531341 is a wasteful number, since it uses less digits than its factorization.

40414531341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 40414531341 in words is "forty billion, four hundred fourteen million, five hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 17 29 51 73 87 97 219 227 289 291 493 681 867 1241 1479 1649 2117 2813 3723 3859 4947 6351 6583 7081 8381 8439 11577 16571 19749 21097 21243 22019 25143 28033 35989 47821 49713 63291 65603 66057 84099 107967 111911 120377 143463 196809 205349 281707 335733 361131 374323 480559 611813 616047 638551 812957 845121 1122969 1441677 1607387 1835439 1902487 1915653 2046409 2438871 3490933 4789019 4822161 5707461 6139227 6363491 8169503 10472799 10855367 14367057 19090473 24508509 27325579 32566101 46614223 59345861 81976737 138881551 139842669 178037583 184541239 416644653 464534843 553623717 792441791 1393604529 2377325373 13471510447 40414531341