Search a number
-
+
13044240301230 = 2325439973337973
BaseRepresentation
bin1011110111010001100101…
…0011110011110010101110
31201012000110112102200112200
42331310121103303302232
53202204101004114410
643424235151442330
72514262302064425
oct275643123636256
951160415380480
1013044240301230
11417a038650916
1215680898263a6
137380b3387358
143314b781a2bc
1517949d55e3c0
hexbdd194f3cae

13044240301230 has 96 divisors (see below), whose sum is σ = 34707328752096. Its totient is φ = 3397218838272.

The previous prime is 13044240301207. The next prime is 13044240301243. The reversal of 13044240301230 is 3210304244031.

13044240301230 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 424 + 0 + 3 + 0 + 1 + 230 = 666.

It is a super-2 number, since 2×130442403012302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13044240301194 and 13044240301203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38426524 + ... + 38764496.

It is an arithmetic number, because the mean of its divisors is an integer number (361534674501).

Almost surely, 213044240301230 is an apocalyptic number.

13044240301230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044240301230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17353664376048).

13044240301230 is an abundant number, since it is smaller than the sum of its proper divisors (21663088450866).

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

13044240301230 is a wasteful number, since it uses less digits than its factorization.

13044240301230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348002 (or 347999 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13044240301230 its reverse (3210304244031), we get a palindrome (16254544545261).

The spelling of 13044240301230 in words is "thirteen trillion, forty-four billion, two hundred forty million, three hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 9973 19946 29919 49865 59838 89757 99730 149595 179514 299190 337973 428839 448785 675946 857678 897570 1013919 1286517 1689865 2027838 2144195 2573034 3041757 3379730 3859551 4288390 5069595 6083514 6432585 7719102 10139190 12865170 14532839 15208785 19297755 29065678 30417570 38595510 43598517 72664195 87197034 130795551 145328390 217992585 261591102 435985170 653977755 1307955510 3370604729 6741209458 10111814187 16853023645 20223628374 30335442561 33706047290 50559070935 60670885122 101118141870 144936003347 151677212805 289872006694 303354425610 434808010041 724680016735 869616020082 1304424030123 1449360033470 2174040050205 2608848060246 4348080100410 6522120150615 13044240301230