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13440114300 = 22352124935869
BaseRepresentation
bin11001000010001011…
…11101111001111100
31021200122221112210010
430201011331321330
5210011132124200
610101352143220
7654026041464
oct144105757174
937618845703
1013440114300
115777659888
122731097b10
131362619b72
14916db2ba4
15539ddb150
hex32117de7c

13440114300 has 72 divisors (see below), whose sum is σ = 38918950000. Its totient is φ = 3581061120.

The previous prime is 13440114299. The next prime is 13440114301. The reversal of 13440114300 is 341104431.

It is an interprime number because it is at equal distance from previous prime (13440114299) and next prime (13440114301).

It is a super-3 number, since 3×134401143003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440114301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356766 + ... + 392634.

Almost surely, 213440114300 is an apocalyptic number.

13440114300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440114300 is an abundant number, since it is smaller than the sum of its proper divisors (25478835700).

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

13440114300 is a wasteful number, since it uses less digits than its factorization.

13440114300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37135 (or 37128 counting only the distinct ones).

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

Adding to 13440114300 its reverse (341104431), we get a palindrome (13781218731).

The spelling of 13440114300 in words is "thirteen billion, four hundred forty million, one hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1249 2498 3747 4996 6245 7494 12490 14988 18735 24980 31225 35869 37470 62450 71738 74940 93675 107607 124900 143476 179345 187350 215214 358690 374700 430428 538035 717380 896725 1076070 1793450 2152140 2690175 3586900 5380350 10760700 44800381 89600762 134401143 179201524 224001905 268802286 448003810 537604572 672005715 896007620 1120009525 1344011430 2240019050 2688022860 3360028575 4480038100 6720057150 13440114300