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13401230040 = 23325113384149
BaseRepresentation
bin11000111101100011…
…01000101011011000
31021120221210000121100
430132301220223120
5204421203330130
610053442511400
7653044401342
oct143661505330
937527700540
1013401230040
115757710530
122720065560
131357554123
14911b70292
155367a9c60
hex31ec68ad8

13401230040 has 96 divisors (see below), whose sum is σ = 47513466000. Its totient is φ = 3248782080.

The previous prime is 13401230023. The next prime is 13401230093. The reversal of 13401230040 is 4003210431.

13401230040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13401229995 and 13401230022.

It is a congruent number.

It is an unprimeable number.

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, 1688115 + ... + 1696034.

Almost surely, 213401230040 is an apocalyptic number.

13401230040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13401230040 is an abundant number, since it is smaller than the sum of its proper divisors (34112235960).

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

13401230040 is a wasteful number, since it uses less digits than its factorization.

13401230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384177 (or 3384170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13401230040 its reverse (4003210431), we get a palindrome (17404440471).

The spelling of 13401230040 in words is "thirteen billion, four hundred one million, two hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 3384149 6768298 10152447 13536596 16920745 20304894 27073192 30457341 33841490 37225639 40609788 50762235 60914682 67682980 74451278 81219576 101524470 111676917 121829364 135365960 148902556 152286705 186128195 203048940 223353834 243658728 297805112 304573410 335030751 372256390 406097880 446707668 558384585 609146820 670061502 744512780 893415336 1116769170 1218293640 1340123004 1489025560 1675153755 2233538340 2680246008 3350307510 4467076680 6700615020 13401230040