Search a number
-
+
240164933489560 = 23529350340739341
BaseRepresentation
bin110110100110110111000001…
…100011000101001110011000
31011111100112200011000110021101
4312212313001203011032120
5222434330240433131220
62210442125230521144
7101405225640041122
oct6646670143051630
91144315604013241
10240164933489560
116a584415960282
1222b296a63661b4
13a4015c0c35741
14434408ad20212
151cb739391330a
hexda6dc18c5398

240164933489560 has 64 divisors (see below), whose sum is σ = 543293346617280. Its totient is φ = 95547766632960.

The previous prime is 240164933489557. The next prime is 240164933489561. The reversal of 240164933489560 is 65984339461042.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 240164933489492 and 240164933489501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240164933489561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14474511 + ... + 26264830.

It is an arithmetic number, because the mean of its divisors is an integer number (8488958540895).

Almost surely, 2240164933489560 is an apocalyptic number.

240164933489560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240164933489560 is an abundant number, since it is smaller than the sum of its proper divisors (303128413127720).

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

240164933489560 is a wasteful number, since it uses less digits than its factorization.

240164933489560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40740148 (or 40740144 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 64.

The spelling of 240164933489560 in words is "two hundred forty trillion, one hundred sixty-four billion, nine hundred thirty-three million, four hundred eighty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 293 503 586 1006 1172 1465 2012 2344 2515 2930 4024 5030 5860 10060 11720 20120 147379 294758 589516 736895 1179032 1473790 2947580 5895160 40739341 81478682 162957364 203696705 325914728 407393410 814786820 1629573640 11936626913 20491888523 23873253826 40983777046 47746507652 59683134565 81967554092 95493015304 102459442615 119366269130 163935108184 204918885230 238732538260 409837770460 477465076520 819675540920 6004123337239 12008246674478 24016493348956 30020616686195 48032986697912 60041233372390 120082466744780 240164933489560