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14243125040 = 245193101257
BaseRepresentation
bin11010100001111010…
…01101011100110000
31100202121221201102122
431100331031130300
5213132220000130
610313155333412
71012646364614
oct152075153460
940677851378
1014243125040
116049966721
122915bb1268
13145cab5251
149918c3344
1558565a2e5
hex350f4d730

14243125040 has 160 divisors (see below), whose sum is σ = 35438178240. Its totient is φ = 5323161600.

The previous prime is 14243124991. The next prime is 14243125063. The reversal of 14243125040 is 4052134241.

14243125040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142431250402 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55420592 + ... + 55420848.

It is an arithmetic number, because the mean of its divisors is an integer number (221488614).

Almost surely, 214243125040 is an apocalyptic number.

14243125040 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 14243125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719089120).

14243125040 is an abundant number, since it is smaller than the sum of its proper divisors (21195053200).

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

14243125040 is a wasteful number, since it uses less digits than its factorization.

14243125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 14243125040 its reverse (4052134241), we get a palindrome (18295259281).

The spelling of 14243125040 in words is "fourteen billion, two hundred forty-three million, one hundred twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 257 304 361 380 404 505 514 722 760 808 1010 1028 1285 1444 1520 1616 1805 1919 2020 2056 2570 2888 3610 3838 4040 4112 4883 5140 5776 6859 7220 7676 8080 9595 9766 10280 13718 14440 15352 19190 19532 20560 24415 25957 27436 28880 30704 34295 36461 38380 39064 48830 51914 54872 68590 72922 76760 78128 92777 97660 103828 109744 129785 137180 145844 153520 182305 185554 195320 207656 259570 274360 291688 364610 371108 390640 415312 463885 493183 519140 548720 583376 692759 729220 742216 927770 986366 1038280 1385518 1458440 1484432 1762763 1855540 1972732 2076560 2465915 2771036 2916880 3463795 3525526 3711080 3945464 4931830 5542072 6927590 7051052 7422160 7890928 8813815 9370477 9863660 11084144 13855180 14102104 17627630 18740954 19727320 27710360 28204208 35255260 37481908 39454640 46852385 55420720 70510520 74963816 93704770 141021040 149927632 178039063 187409540 356078126 374819080 712156252 749638160 890195315 1424312504 1780390630 2848625008 3560781260 7121562520 14243125040