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423434111040 = 26325147025733
BaseRepresentation
bin1100010100101101010…
…00111100100001000000
31111110221211222112222100
412022112220330201000
523414143113023130
6522304542310400
742410043362313
oct6122650744100
91443854875870
10423434111040
11153639575916
126a093288400
1330c11623035
14166cc5b497a
15b033da8c60
hex6296a3c840

423434111040 has 84 divisors (see below), whose sum is σ = 1456436921004. Its totient is φ = 112915762176.

The previous prime is 423434110993. The next prime is 423434111057. The reversal of 423434111040 is 40111434324.

423434111040 is a `hidden beast` number, since 4 + 234 + 3 + 411 + 10 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 156360139776 + 267073971264 = 395424^2 + 516792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 423434110995 and 423434111013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73509987 + ... + 73515746.

Almost surely, 2423434111040 is an apocalyptic number.

423434111040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423434111040 is an abundant number, since it is smaller than the sum of its proper divisors (1033002809964).

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

423434111040 is a wasteful number, since it uses less digits than its factorization.

423434111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147025756 (or 147025743 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 423434111040 its reverse (40111434324), we get a palindrome (463545545364).

The spelling of 423434111040 in words is "four hundred twenty-three billion, four hundred thirty-four million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 147025733 294051466 441077199 588102932 735128665 882154398 1176205864 1323231597 1470257330 1764308796 2205385995 2352411728 2646463194 2940514660 3528617592 4410771990 4704823456 5292926388 5881029320 6616157985 7057235184 8821543980 9409646912 10585852776 11762058640 13232315970 14114470368 17643087960 21171705552 23524117280 26464631940 28228940736 35286175920 42343411104 47048234560 52929263880 70572351840 84686822208 105858527760 141144703680 211717055520 423434111040