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14021311120040 = 2357192699797713
BaseRepresentation
bin1100110000001001011101…
…0001001100001010101000
31211122102110021120000120202
43030002113101030022220
53314211121121320130
645453145034211332
72645002106030630
oct314022721141250
954572407500522
1014021311120040
11451644a657594
1216a5510883b48
137a928615b153
143668c692b6c0
15194ad6d04145
hexcc09744c2a8

14021311120040 has 128 divisors (see below), whose sum is σ = 38093512032000. Its totient is φ = 4537359618048.

The previous prime is 14021311120039. The next prime is 14021311120057. The reversal of 14021311120040 is 4002111312041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14021311119994 and 14021311120021.

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, 3467777 + ... + 6329936.

It is an arithmetic number, because the mean of its divisors is an integer number (297605562750).

Almost surely, 214021311120040 is an apocalyptic number.

14021311120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14021311120040 is an abundant number, since it is smaller than the sum of its proper divisors (24072200911960).

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

14021311120040 is a wasteful number, since it uses less digits than its factorization.

14021311120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9798019 (or 9798015 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14021311120040 its reverse (4002111312041), we get a palindrome (18023422432081).

The spelling of 14021311120040 in words is "fourteen trillion, twenty-one billion, three hundred eleven million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 269 280 380 532 538 665 760 1064 1076 1330 1345 1883 2152 2660 2690 3766 5111 5320 5380 7532 9415 10222 10760 15064 18830 20444 25555 35777 37660 40888 51110 71554 75320 102220 143108 178885 204440 286216 357770 715540 1431080 9797713 19595426 39190852 48988565 68583991 78381704 97977130 137167982 186156547 195954260 274335964 342919955 372313094 391908520 548671928 685839910 744626188 930782735 1303095829 1371679820 1489252376 1861565470 2606191658 2635584797 2743359640 3723130940 5212383316 5271169594 6515479145 7446261880 10424766632 10542339188 13030958290 13177923985 18449093579 21084678376 26061916580 26355847970 36898187158 50076111143 52123833160 52711695940 73796374316 92245467895 100152222286 105423391880 147592748632 184490935790 200304444572 250380555715 350532778001 368981871580 400608889144 500761111430 701065556002 737963743160 1001522222860 1402131112004 1752663890005 2003044445720 2804262224008 3505327780010 7010655560020 14021311120040