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13141241312340 = 22352671657112479
BaseRepresentation
bin1011111100111010111100…
…0001010011010001010100
31201112021211200221121102210
42333032233001103101110
53210301230233443330
643541000344033420
72524265132061201
oct277165701232124
951467750847383
1013141241312340
1142071951471a9
121582a3b162870
137442a177784b
1433607a458ca8
1517bc793548b0
hexbf3af053454

13141241312340 has 96 divisors (see below), whose sum is σ = 36817803509760. Its totient is φ = 3502205251200.

The previous prime is 13141241312281. The next prime is 13141241312357. The reversal of 13141241312340 is 4321314214131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13141241312298 and 13141241312307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1053062221 + ... + 1053074699.

It is an arithmetic number, because the mean of its divisors is an integer number (383518786560).

Almost surely, 213141241312340 is an apocalyptic number.

13141241312340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141241312340 is an abundant number, since it is smaller than the sum of its proper divisors (23676562197420).

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

13141241312340 is a wasteful number, since it uses less digits than its factorization.

13141241312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21733 (or 21731 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13141241312340 its reverse (4321314214131), we get a palindrome (17462555526471).

The spelling of 13141241312340 in words is "thirteen trillion, one hundred forty-one billion, two hundred forty-one million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2671 5342 6571 8013 10684 12479 13142 13355 16026 19713 24958 26284 26710 32052 32855 37437 39426 40065 49916 53420 62395 65710 74874 78852 80130 98565 124790 131420 149748 160260 187185 197130 249580 374370 394260 748740 17551141 33331409 35102282 52653423 66662818 70204564 81999509 87755705 99994227 105306846 133325636 163999018 166657045 175511410 199988454 210613692 245998527 263267115 327998036 333314090 351022820 399976908 409997545 491997054 499971135 526534230 666628180 819995090 983994108 999942270 1053068460 1229992635 1639990180 1999884540 2459985270 4919970540 219020688539 438041377078 657062065617 876082754156 1095103442695 1314124131234 2190206885390 2628248262468 3285310328085 4380413770780 6570620656170 13141241312340