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201412342043020 = 22517264187761987
BaseRepresentation
bin101101110010111011110111…
…000110011101000110001100
3222102010211110102100121012201
4231302323313012131012030
5202344414434030334040
61552211315205011244
760265363411515343
oct5562736706350614
9872124412317181
10201412342043020
11591a3549302199
121a70b0899b3b24
138850143b58a94
1437a45a3446b5a
1518442e59d5a9a
hexb72ef719d18c

201412342043020 has 144 divisors (see below), whose sum is σ = 450531160867872. Its totient is φ = 75619984343040.

The previous prime is 201412342042987. The next prime is 201412342043083. The reversal of 201412342043020 is 20340243214102.

It is a self number, because there is not a number n which added to its sum of digits gives 201412342043020.

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, 3249236467 + ... + 3249298453.

It is an arithmetic number, because the mean of its divisors is an integer number (3128688617138).

Almost surely, 2201412342043020 is an apocalyptic number.

201412342043020 is a gapful number since it is divisible by the number (20) 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 201412342043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225265580433936).

201412342043020 is an abundant number, since it is smaller than the sum of its proper divisors (249118818824852).

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

201412342043020 is a wasteful number, since it uses less digits than its factorization.

201412342043020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63548 (or 63529 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 201412342043020 its reverse (20340243214102), we get a palindrome (221752585257122).

The spelling of 201412342043020 in words is "two hundred one trillion, four hundred twelve billion, three hundred forty-two million, forty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 641 877 1156 1282 1445 1754 2564 2890 3205 3508 4385 5780 6410 8770 10897 12820 14909 17540 21794 29818 43588 54485 59636 61987 74545 108970 123974 149090 185249 217940 247948 253453 298180 309935 370498 506906 562157 619870 740996 926245 1013812 1053779 1124314 1239740 1267265 1852490 2107558 2248628 2534530 2810785 3704980 4215116 5069060 5268895 5621570 9556669 10537790 11243140 17914243 19113338 21075580 35828486 38226676 39733667 47783345 54362599 71656972 79467334 89571215 95566690 108725198 158934668 162463373 179142430 191133380 198668335 217450396 271812995 324926746 358284860 397336670 543625990 649853492 675472339 794673340 812316865 924164183 1087251980 1350944678 1624633730 1848328366 2701889356 3249267460 3377361695 3696656732 4620820915 6754723390 9241641830 11483029763 13509446780 15710791111 18483283660 22966059526 31421582222 34846425959 45932119052 57415148815 62843164444 69692851918 78553955555 114830297630 139385703836 157107911110 174232129795 229660595260 314215822220 348464259590 592389241303 696928519180 1184778482606 2369556965212 2961946206515 5923892413030 10070617102151 11847784826060 20141234204302 40282468408604 50353085510755 100706171021510 201412342043020