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13401014340 = 2235788136217
BaseRepresentation
bin11000111101100001…
…10100000001000100
31021120221101001201110
430132300310001010
5204421124424330
610053434125020
7653042512440
oct143660640104
937527331643
1013401014340
11575758346a
12271bb80770
1313574a9bac
14911b15820
15536765db0
hex31ec34044

13401014340 has 96 divisors (see below), whose sum is σ = 42933106944. Its totient is φ = 3059527680.

The previous prime is 13401014327. The next prime is 13401014353. The reversal of 13401014340 is 4341010431.

It is an interprime number because it is at equal distance from previous prime (13401014327) and next prime (13401014353).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351912 + ... + 388128.

It is an arithmetic number, because the mean of its divisors is an integer number (447219864).

Almost surely, 213401014340 is an apocalyptic number.

13401014340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21466553472).

13401014340 is an abundant number, since it is smaller than the sum of its proper divisors (29532092604).

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

13401014340 is a wasteful number, since it uses less digits than its factorization.

13401014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37117 (or 37115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13401014340 its reverse (4341010431), we get a palindrome (17742024771).

The spelling of 13401014340 in words is "thirteen billion, four hundred one million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 881 1762 2643 3524 4405 5286 6167 8810 10572 12334 13215 17620 18501 24668 26430 30835 36217 37002 52860 61670 72434 74004 92505 108651 123340 144868 181085 185010 217302 253519 362170 370020 434604 507038 543255 724340 760557 1014076 1086510 1267595 1521114 2173020 2535190 3042228 3802785 5070380 7605570 15211140 31907177 63814354 95721531 127628708 159535885 191443062 223350239 319071770 382886124 446700478 478607655 638143540 670050717 893400956 957215310 1116751195 1340101434 1914430620 2233502390 2680202868 3350253585 4467004780 6700507170 13401014340