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13440630201544 = 2371347419937511
BaseRepresentation
bin1100001110010110001111…
…1111010001110011001000
31202120220121121221222202201
43003211203333101303020
53230202402312422134
644330312411005544
72555024226460450
oct303454377216310
952526547858681
1013440630201544
114312159396957
121610a73a398b4
137665a4aba520
1434675c360d60
1518494d04d914
hexc3963fd1cc8

13440630201544 has 128 divisors (see below), whose sum is σ = 31752406425600. Its totient is φ = 5191615376640.

The previous prime is 13440630201533. The next prime is 13440630201623. The reversal of 13440630201544 is 44510203604431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13867749 + ... + 14805259.

It is an arithmetic number, because the mean of its divisors is an integer number (248065675200).

Almost surely, 213440630201544 is an apocalyptic number.

13440630201544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13440630201544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876203212800).

13440630201544 is an abundant number, since it is smaller than the sum of its proper divisors (18311776224056).

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

13440630201544 is a wasteful number, since it uses less digits than its factorization.

13440630201544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938003 (or 937999 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 13440630201544 its reverse (44510203604431), we get a palindrome (57950833805975).

The spelling of 13440630201544 in words is "thirteen trillion, four hundred forty billion, six hundred thirty million, two hundred one thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 47 52 56 91 94 104 182 188 329 364 376 419 611 658 728 838 1222 1316 1676 2444 2632 2933 3352 4277 4888 5447 5866 8554 10894 11732 17108 19693 21788 23464 34216 38129 39386 43576 76258 78772 137851 152516 157544 256009 275702 305032 512018 551404 937511 1024036 1102808 1792063 1875022 2048072 3584126 3750044 6562577 7168252 7500088 12187643 13125154 14336504 24375286 26250308 44063017 48750572 52500616 85313501 88126034 97501144 170627002 176252068 308441119 341254004 352504136 392817109 572819221 616882238 682508008 785634218 1145638442 1233764476 1571268436 2291276884 2467528952 2749719763 3142536872 4009734547 4582553768 5106622417 5499439526 8019469094 10213244834 10998879052 16038938188 18462404123 20426489668 21997758104 32077876376 35746356919 36924808246 40852979336 71492713838 73849616492 129236828861 142985427676 147699232984 240011253599 258473657722 285970855352 480022507198 516947315444 960045014396 1033894630888 1680078775193 1920090028792 3360157550386 6720315100772 13440630201544