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14321313340020 = 223251093877188273
BaseRepresentation
bin1101000001100111000011…
…0010110101101001110100
31212201002210221122211120100
43100121300302311221310
53334120022203340040
650243042011034100
73005452331600451
oct320316062655164
955632727584510
1014321313340020
1146216a902a785
121733696a3b930
137cb65658634b
1437722608a828
1519c7e47a0b30
hexd0670cb5a74

14321313340020 has 144 divisors (see below), whose sum is σ = 43851401914320. Its totient is φ = 3782983938048.

The previous prime is 14321313339989. The next prime is 14321313340057. The reversal of 14321313340020 is 2004331312341.

It is a happy number.

14321313340020 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 1 + 313 + 340 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 744196078224 + 13577117261796 = 862668^2 + 3684714^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75972604 + ... + 76160876.

It is an arithmetic number, because the mean of its divisors is an integer number (304523624405).

Almost surely, 214321313340020 is an apocalyptic number.

14321313340020 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 14321313340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21925700957160).

14321313340020 is an abundant number, since it is smaller than the sum of its proper divisors (29530088574300).

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

14321313340020 is a wasteful number, since it uses less digits than its factorization.

14321313340020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192274 (or 192269 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 14321313340020 its reverse (2004331312341), we get a palindrome (16325644652361).

The spelling of 14321313340020 in words is "fourteen trillion, three hundred twenty-one billion, three hundred thirteen million, three hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3877 3924 4905 6540 7754 9810 11631 15508 19385 19620 23262 34893 38770 46524 58155 69786 77540 116310 139572 174465 188273 232620 348930 376546 422593 564819 697860 753092 845186 941365 1129638 1267779 1690372 1694457 1882730 2112965 2259276 2535558 2824095 3388914 3765460 3803337 4225930 5071116 5648190 6338895 6777828 7606674 8451860 8472285 11296380 12677790 15213348 16944570 19016685 20521757 25355580 33889140 38033370 41043514 61565271 76066740 82087028 102608785 123130542 184695813 205217570 246261084 307826355 369391626 410435140 615652710 729934421 738783252 923479065 1231305420 1459868842 1846958130 2189803263 2919737684 3649672105 3693916260 4379606526 6569409789 7299344210 8759213052 10949016315 13138819578 14598688420 21898032630 26277639156 32847048945 43796065260 65694097890 79562851889 131388195780 159125703778 238688555667 318251407556 397814259445 477377111334 716065667001 795628518890 954754222668 1193442778335 1432131334002 1591257037780 2386885556670 2864262668004 3580328335005 4773771113340 7160656670010 14321313340020