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13530234135440 = 2451119379664591
BaseRepresentation
bin1100010011100100000011…
…0011001010001110010000
31202220110220021120110100002
43010321000303022032100
53233134404414313230
644435412002145132
72564345546365361
oct304710063121620
952813807513302
1013530234135440
11434715a489690
1216263000521a8
13771b84847959
1434ac1c7ddb68
15186e44742545
hexc4e40cca390

13530234135440 has 80 divisors (see below), whose sum is σ = 34495405652736. Its totient is φ = 4894592409600.

The previous prime is 13530234135413. The next prime is 13530234135499. The reversal of 13530234135440 is 4453143203531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13530234135394 and 13530234135403.

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 15 ways as a sum of consecutive naturals, for example, 39662456 + ... + 40002135.

Almost surely, 213530234135440 is an apocalyptic number.

13530234135440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530234135440 is an abundant number, since it is smaller than the sum of its proper divisors (20965171517296).

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

13530234135440 is a wasteful number, since it uses less digits than its factorization.

13530234135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79664808 (or 79664802 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 13530234135440 its reverse (4453143203531), we get a palindrome (17983377338971).

The spelling of 13530234135440 in words is "thirteen trillion, five hundred thirty billion, two hundred thirty-four million, one hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 193 220 386 440 772 880 965 1544 1930 2123 3088 3860 4246 7720 8492 10615 15440 16984 21230 33968 42460 84920 169840 79664591 159329182 318658364 398322955 637316728 796645910 876310501 1274633456 1593291820 1752621002 3186583640 3505242004 4381552505 6373167280 7010484008 8763105010 14020968016 15375266063 17526210020 30750532126 35052420040 61501064252 70104840080 76876330315 123002128504 153752660630 169127926693 246004257008 307505321260 338255853386 615010642520 676511706772 845639633465 1230021285040 1353023413544 1691279266930 2706046827088 3382558533860 6765117067720 13530234135440