Search a number
-
+
2543454020240 = 245710746192077
BaseRepresentation
bin100101000000110001101…
…011000110001010010000
3100000011002200110111201122
4211000301223012022100
5313132443212121430
65224240250421412
7351521106313160
oct45006153061220
910004080414648
102543454020240
118a0744539901
12350b31731868
13155b01222753
148b164cb05a0
1546263970ee5
hex25031ac6290

2543454020240 has 160 divisors (see below), whose sum is σ = 6836353945344. Its totient is φ = 862008145920.

The previous prime is 2543454020231. The next prime is 2543454020243. The reversal of 2543454020240 is 420204543452.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2543454020240.

It is not an unprimeable number, because it can be changed into a prime (2543454020243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27577082 + ... + 27669158.

Almost surely, 22543454020240 is an apocalyptic number.

2543454020240 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 2543454020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418176972672).

2543454020240 is an abundant number, since it is smaller than the sum of its proper divisors (4292899925104).

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

2543454020240 is a wasteful number, since it uses less digits than its factorization.

2543454020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92665 (or 92659 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 2543454020240 its reverse (420204543452), we get a palindrome (2963658563692).

The spelling of 2543454020240 in words is "two trillion, five hundred forty-three billion, four hundred fifty-four million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 107 112 140 214 280 428 461 535 560 749 856 922 1070 1498 1712 1844 2140 2305 2996 3227 3688 3745 4280 4610 5992 6454 7376 7490 8560 9220 11984 12908 14980 16135 18440 25816 29960 32270 36880 49327 51632 59920 64540 92077 98654 129080 184154 197308 246635 258160 345289 368308 394616 460385 493270 644539 690578 736616 789232 920770 986540 1289078 1381156 1473232 1726445 1841540 1973080 2578156 2762312 3222695 3452890 3683080 3946160 5156312 5524624 6445390 6905780 7366160 9852239 10312624 12890780 13811560 19704478 25781560 27623120 39408956 42447497 49261195 51563120 68965673 78817912 84894994 98522390 137931346 157635824 169789988 197044780 212237485 275862692 297132479 339579976 344828365 394089560 424474970 551725384 594264958 679159952 689656730 788179120 848949940 1103450768 1188529916 1379313460 1485662395 1697899880 2377059832 2758626920 2971324790 3395799760 4541882179 4754119664 5517253840 5942649580 9083764358 11885299160 18167528716 22709410895 23770598320 31793175253 36335057432 45418821790 63586350506 72670114864 90837643580 127172701012 158965876265 181675287160 254345402024 317931752530 363350574320 508690804048 635863505060 1271727010120 2543454020240