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13403426040 = 2332542418779
BaseRepresentation
bin11000111101110100…
…00000110011111000
31021121002220120221200
430132322000303320
5204422234113130
610054001534200
7653102145564
oct143672006370
937532816850
1013403426040
115758980404
122720944360
131357b42834
149121826a4
15536a90760
hex31ee80cf8

13403426040 has 96 divisors (see below), whose sum is σ = 43576369200. Its totient is φ = 3572997120.

The previous prime is 13403426039. The next prime is 13403426041. The reversal of 13403426040 is 4062430431.

13403426040 is a `hidden beast` number, since 13 + 4 + 0 + 3 + 42 + 604 + 0 = 666.

13403426040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13403426039) and next prime (13403426041).

It is a super-3 number, since 3×134034260403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13403425995 and 13403426013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13403426041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522371 + ... + 1531149.

Almost surely, 213403426040 is an apocalyptic number.

13403426040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13403426040 is an abundant number, since it is smaller than the sum of its proper divisors (30172943160).

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

13403426040 is a wasteful number, since it uses less digits than its factorization.

13403426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13030 counting only the distinct ones).

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

Adding to 13403426040 its reverse (4062430431), we get a palindrome (17465856471).

The spelling of 13403426040 in words is "thirteen billion, four hundred three million, four hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4241 8482 8779 12723 16964 17558 21205 25446 26337 33928 35116 38169 42410 43895 50892 52674 63615 70232 76338 79011 84820 87790 101784 105348 127230 131685 152676 158022 169640 175580 190845 210696 254460 263370 305352 316044 351160 381690 395055 508920 526740 632088 763380 790110 1053480 1526760 1580220 3160440 37231739 74463478 111695217 148926956 186158695 223390434 297853912 335085651 372317390 446780868 558476085 670171302 744634780 893561736 1116952170 1340342604 1489269560 1675428255 2233904340 2680685208 3350856510 4467808680 6701713020 13403426040