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14012344034440 = 2357338918476679
BaseRepresentation
bin1100101111101000000011…
…0010011110010010001000
31211121120022100101212122021
43023322000302132102020
53314034240033100230
645445103150334224
72644233643044133
oct313720062362210
954546270355567
1014012344034440
1145126689a7444
1216a38297ba374
137a848746353b
143662b5a4321a
1519475e979c7a
hexcbe80c9e488

14012344034440 has 128 divisors (see below), whose sum is σ = 32063967936000. Its totient is φ = 5510135973888.

The previous prime is 14012344034419. The next prime is 14012344034443. The reversal of 14012344034440 is 4443044321041.

It is a super-2 number, since 2×140123440344402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14012344034396 and 14012344034405.

It is not an unprimeable number, because it can be changed into a prime (14012344034443) 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 31 ways as a sum of consecutive naturals, for example, 2097967021 + ... + 2097973699.

It is an arithmetic number, because the mean of its divisors is an integer number (250499749500).

Almost surely, 214012344034440 is an apocalyptic number.

14012344034440 is a gapful number since it is divisible by the number (10) 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 14012344034440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16031983968000).

14012344034440 is an abundant number, since it is smaller than the sum of its proper divisors (18051623901560).

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

14012344034440 is a wasteful number, since it uses less digits than its factorization.

14012344034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8999 (or 8995 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 14012344034440 its reverse (4443044321041), we get a palindrome (18455388355481).

The spelling of 14012344034440 in words is "fourteen trillion, twelve billion, three hundred forty-four million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 389 584 730 778 1460 1556 1847 1945 2920 3112 3694 3890 6679 7388 7780 9235 13358 14776 15560 18470 26716 28397 33395 36940 53432 56794 66790 73880 113588 133580 134831 141985 227176 267160 269662 283970 487567 539324 567940 674155 718483 975134 1078648 1135880 1348310 1436966 1950268 2437835 2598131 2696620 2873932 3592415 3900536 4875670 5196262 5393240 5747864 7184830 9751340 10392524 12336113 12990655 14369660 19502680 20785048 24672226 25981310 28739320 49344452 51962620 52449259 61680565 98688904 103925240 104898518 123361130 189663563 209797036 246722260 262246295 379327126 419594072 493444520 524492590 758654252 900536249 948317815 1048985180 1517308504 1801072498 1896635630 2097970360 3602144996 3793271260 4502681245 4798747957 7204289992 7586542520 9005362490 9597495914 18010724980 19194991828 23993739785 36021449960 38389983656 47987479570 95974959140 191949918280 350308600861 700617201722 1401234403444 1751543004305 2802468806888 3503086008610 7006172017220 14012344034440