Search a number
-
+
240404064420 = 223513319942269
BaseRepresentation
bin1101111111100100110…
…0101110100010100100
3211222112011122211011210
43133321030232202210
512414321420030140
6302235021231420
723240302555122
oct3377114564244
9758464584153
10240404064420
1192a55910883
123a712a02570
1319893006cc0
14b8c81d0912
1563c0673d80
hex37f932e8a4

240404064420 has 96 divisors (see below), whose sum is σ = 748295009280. Its totient is φ = 57267463680.

The previous prime is 240404064331. The next prime is 240404064479. The reversal of 240404064420 is 24460404042.

It is a super-2 number, since 2×2404040644202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4946955 + ... + 4995314.

It is an arithmetic number, because the mean of its divisors is an integer number (7794739680).

Almost surely, 2240404064420 is an apocalyptic number.

240404064420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240404064420 is an abundant number, since it is smaller than the sum of its proper divisors (507890944860).

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

240404064420 is a wasteful number, since it uses less digits than its factorization.

240404064420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942325 (or 9942323 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 240404064420 its reverse (24460404042), we get a palindrome (264864468462).

The spelling of 240404064420 in words is "two hundred forty billion, four hundred four million, sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 9942269 19884538 29826807 39769076 49711345 59653614 99422690 119307228 129249497 149134035 198845380 258498994 298268070 308210339 387748491 516997988 596536140 616420678 646247485 775496982 924631017 1232841356 1292494970 1541051695 1550993964 1849262034 1938742455 2584989940 3082103390 3698524068 3877484910 4006734407 4623155085 6164206780 7754969820 8013468814 9246310170 12020203221 16026937628 18492620340 20033672035 24040406442 40067344070 48080812884 60101016105 80134688140 120202032210 240404064420