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2243613724380 = 2232573495102137
BaseRepresentation
bin100000101001100001110…
…011001000111011011100
321221111011022001021212200
4200221201303020323130
5243224410103140010
64434411340331500
7321044560665330
oct40514163107334
97844138037780
102243613724380
117955695026a6
123029b1843b90
1313375850ca42
147a83d0617c0
153d56530bcc0
hex20a61cc8edc

2243613724380 has 144 divisors (see below), whose sum is σ = 7800148574400. Its totient is φ = 511356478464.

The previous prime is 2243613724337. The next prime is 2243613724381. The reversal of 2243613724380 is 834273163422.

2243613724380 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 613 + 7 + 24 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243613724381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2111329 + ... + 2990808.

Almost surely, 22243613724380 is an apocalyptic number.

2243613724380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243613724380 is an abundant number, since it is smaller than the sum of its proper divisors (5556534850020).

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

2243613724380 is a wasteful number, since it uses less digits than its factorization.

2243613724380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102508 (or 5102503 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2243613724380 in words is "two trillion, two hundred forty-three billion, six hundred thirteen million, seven hundred twenty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 349 420 630 698 1047 1260 1396 1745 2094 2443 3141 3490 4188 4886 5235 6282 6980 7329 9772 10470 12215 12564 14658 15705 20940 21987 24430 29316 31410 36645 43974 48860 62820 73290 87948 109935 146580 219870 439740 5102137 10204274 15306411 20408548 25510685 30612822 35714959 45919233 51021370 61225644 71429918 76532055 91838466 102042740 107144877 142859836 153064110 178574795 183676932 214289754 229596165 306128220 321434631 357149590 428579508 459192330 535724385 642869262 714299180 918384660 1071448770 1285738524 1607173155 1780645813 2142897540 3214346310 3561291626 5341937439 6428692620 7122583252 8903229065 10683874878 12464520691 16025812317 17806458130 21367749756 24929041382 26709687195 32051624634 35612916260 37393562073 49858082764 53419374390 62322603455 64103249268 74787124146 80129061585 106838748780 112180686219 124645206910 149574248292 160258123170 186967810365 224361372438 249290413820 320516246340 373935620730 448722744876 560903431095 747871241460 1121806862190 2243613724380