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13124201200440 = 23351117584857451
BaseRepresentation
bin1011111011111011011101…
…0110011011101100111000
31201110122212010222020100020
42332332313112123230320
53210011331001403230
643525101431210440
72523122640364521
oct276766726335470
951418763866306
1013124201200440
1141aaa404809a0
12157b684516a20
137427b737b9b5
143353012d7848
1517b5cd3a7810
hexbefb759bb38

13124201200440 has 128 divisors (see below), whose sum is σ = 45478515467520. Its totient is φ = 2994470144000.

The previous prime is 13124201200433. The next prime is 13124201200459. The reversal of 13124201200440 is 4400210242131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13124201200440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292406286 + ... + 292451165.

It is an arithmetic number, because the mean of its divisors is an integer number (355300902090).

Almost surely, 213124201200440 is an apocalyptic number.

13124201200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13124201200440 is an abundant number, since it is smaller than the sum of its proper divisors (32354314267080).

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

13124201200440 is a wasteful number, since it uses less digits than its factorization.

13124201200440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584857493 (or 584857489 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13124201200440 its reverse (4400210242131), we get a palindrome (17524411442571).

The spelling of 13124201200440 in words is "thirteen trillion, one hundred twenty-four billion, two hundred one million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 584857451 1169714902 1754572353 2339429804 2924287255 3509144706 4678859608 5848574510 6433431961 7018289412 8772861765 9942576667 11697149020 12866863922 14036578824 17545723530 19300295883 19885153334 23394298040 25733727844 29827730001 32167159805 35091447060 38600591766 39770306668 49712883335 51467455688 59655460002 64334319610 70182894120 77201183532 79540613336 96501479415 99425766670 109368343337 119310920004 128668639220 149138650005 154402367064 193002958830 198851533340 218736686674 238621840008 257337278440 298277300010 328105030011 386005917660 397703066680 437473373348 546841716685 596554600020 656210060022 772011835320 874946746696 1093683433370 1193109200040 1312420120044 1640525150055 2187366866740 2624840240088 3281050300110 4374733733480 6562100600220 13124201200440