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30041104442040 = 23325412035305179
BaseRepresentation
bin1101101010010011111010…
…10110111110001010111000
310221100220100012221202122100
412311021331112332022320
512414143140214121130
6143520405354023400
76220253400363516
oct665117526761270
9127326305852570
1030041104442040
1196323a731880a
123452201117b60
13139bb302692c3
1475bdd64d14b6
15371688722c60
hex1b527d5be2b8

30041104442040 has 96 divisors (see below), whose sum is σ = 100014896545200. Its totient is φ = 7815571883520.

The previous prime is 30041104442029. The next prime is 30041104442047. The reversal of 30041104442040 is 4024440114003.

30041104442040 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 1 + 10 + 444 + 204 + 0 = 666.

It is a super-3 number, since 3×300411044420403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30041104441995 and 30041104442013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30041104442047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017637830 + ... + 1017667349.

Almost surely, 230041104442040 is an apocalyptic number.

30041104442040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30041104442040 is an abundant number, since it is smaller than the sum of its proper divisors (69973792103160).

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

30041104442040 is a wasteful number, since it uses less digits than its factorization.

30041104442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035305237 (or 2035305230 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 30041104442040 its reverse (4024440114003), we get a palindrome (34065544556043).

The spelling of 30041104442040 in words is "thirty trillion, forty-one billion, one hundred four million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 41 45 60 72 82 90 120 123 164 180 205 246 328 360 369 410 492 615 738 820 984 1230 1476 1640 1845 2460 2952 3690 4920 7380 14760 2035305179 4070610358 6105915537 8141220716 10176525895 12211831074 16282441432 18317746611 20353051790 24423662148 30529577685 36635493222 40706103580 48847324296 61059155370 73270986444 81412207160 83447512339 91588733055 122118310740 146541972888 166895024678 183177466110 244236621480 250342537017 333790049356 366354932220 417237561695 500685074034 667580098712 732709864440 751027611051 834475123390 1001370148068 1251712685085 1502055222102 1668950246780 2002740296136 2503425370170 3004110444204 3337900493560 3755138055255 5006850740340 6008220888408 7510276110510 10013701480680 15020552221020 30041104442040