Search a number
-
+
14415504405540 = 22357221617226823
BaseRepresentation
bin1101000111000101111100…
…0001001111010000100100
31220001002221021202201202120
43101301133001033100210
53342140423111434130
650354220304305540
73015325431464100
oct321613701172044
956032837681676
1014415504405540
114658643475387
1217499a33122b0
138074b7776744
1437b9dd836900
1519eea8a44910
hexd1c5f04f424

14415504405540 has 144 divisors (see below), whose sum is σ = 46955736277632. Its totient is φ = 3294805484544.

The previous prime is 14415504405529. The next prime is 14415504405559. The reversal of 14415504405540 is 4550440551441.

It is a super-2 number, since 2×144155044055402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14415504405492 and 14415504405501.

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, 63440569 + ... + 63667391.

It is an arithmetic number, because the mean of its divisors is an integer number (326081501928).

Almost surely, 214415504405540 is an apocalyptic number.

14415504405540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14415504405540 is an abundant number, since it is smaller than the sum of its proper divisors (32540231872092).

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

14415504405540 is a wasteful number, since it uses less digits than its factorization.

14415504405540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248466 (or 248457 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 42.

Adding to 14415504405540 its reverse (4550440551441), we get a palindrome (18965944956981).

The spelling of 14415504405540 in words is "fourteen trillion, four hundred fifteen billion, five hundred four million, four hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 21617 43234 64851 86468 108085 129702 151319 216170 226823 259404 302638 324255 432340 453646 453957 605276 648510 680469 756595 907292 907914 1059233 1134115 1297020 1360938 1513190 1587761 1815828 2118466 2268230 2269785 2721876 3026380 3175522 3177699 3402345 4236932 4536460 4539570 4763283 5296165 6351044 6355398 6804690 7938805 9079140 9526566 10592330 11114327 12710796 13609380 15877610 15888495 19053132 21184660 22228654 23816415 31755220 31776990 33342981 44457308 47632830 55571635 63553980 66685962 95265660 111143270 133371924 166714905 222286540 333429810 666859620 4903232791 9806465582 14709698373 19612931164 24516163955 29419396746 34322629537 49032327910 58838793492 68645259074 73548491865 98064655820 102967888611 137290518148 147096983730 171613147685 205935777222 240258406759 294193967460 343226295370 411871554444 480516813518 514839443055 686452590740 720775220277 961033627036 1029678886110 1201292033795 1441550440554 2059357772220 2402584067590 2883100881108 3603876101385 4805168135180 7207752202770 14415504405540