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14131515132440 = 2351813607541133
BaseRepresentation
bin1100110110100011111111…
…1100001000101000011000
31212000221220120211220100122
43031220333330020220120
53323012320333214230
650015532312452412
72655653055466466
oct315507774105030
955027816756318
1014131515132440
114559161980192
1217029479aa108
137b67999b8744
1436bd7cc59836
151978d6c99be5
hexcda3ff08a18

14131515132440 has 64 divisors (see below), whose sum is σ = 31980499911360. Its totient is φ = 5619807336960.

The previous prime is 14131515132421. The next prime is 14131515132521. The reversal of 14131515132440 is 4423151513141.

14131515132440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14131515132440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25844114 + ... + 26385246.

It is an arithmetic number, because the mean of its divisors is an integer number (499695311115).

Almost surely, 214131515132440 is an apocalyptic number.

14131515132440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14131515132440 is an abundant number, since it is smaller than the sum of its proper divisors (17848984778920).

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

14131515132440 is a wasteful number, since it uses less digits than its factorization.

14131515132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544932 (or 544928 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 14131515132440 its reverse (4423151513141), we get a palindrome (18554666645581).

The spelling of 14131515132440 in words is "fourteen trillion, one hundred thirty-one billion, five hundred fifteen million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3607 3620 7214 7240 14428 18035 28856 36070 72140 144280 541133 652867 1082266 1305734 2164532 2611468 2705665 3264335 4329064 5222936 5411330 6528670 10822660 13057340 21645320 26114680 97945073 195890146 391780292 489725365 783560584 979450730 1951866731 1958901460 3903733462 3917802920 7807466924 9759333655 15614933848 19518667310 39037334620 78074669240 353287878311 706575756622 1413151513244 1766439391555 2826303026488 3532878783110 7065757566220 14131515132440