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244340132320 = 25517372427863
BaseRepresentation
bin1110001110001111001…
…1101000100111100000
3212100200111001210021101
43203203303220213200
513000402033213240
6304125345004144
723436655566544
oct3434363504740
9770614053241
10244340132320
11946956a8959
123b431023654
131a06c602a6b
14bb7cc61a24
156550ebb39a
hex38e3ce89e0

244340132320 has 96 divisors (see below), whose sum is σ = 627729092928. Its totient is φ = 89500704768.

The previous prime is 244340132291. The next prime is 244340132353. The reversal of 244340132320 is 23231043442.

244340132320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1113292 + ... + 1314571.

It is an arithmetic number, because the mean of its divisors is an integer number (6538844718).

Almost surely, 2244340132320 is an apocalyptic number.

244340132320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244340132320 is an abundant number, since it is smaller than the sum of its proper divisors (383388960608).

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

244340132320 is a wasteful number, since it uses less digits than its factorization.

244340132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427932 (or 2427924 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 244340132320 its reverse (23231043442), we get a palindrome (267571175762).

The spelling of 244340132320 in words is "two hundred forty-four billion, three hundred forty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 68 74 80 85 136 148 160 170 185 272 296 340 370 544 592 629 680 740 1184 1258 1360 1480 2516 2720 2960 3145 5032 5920 6290 10064 12580 20128 25160 50320 100640 2427863 4855726 9711452 12139315 19422904 24278630 38845808 41273671 48557260 77691616 82547342 89830931 97114520 165094684 179661862 194229040 206368355 330189368 359323724 388458080 412736710 449154655 660378736 718647448 825473420 898309310 1320757472 1437294896 1527125827 1650946840 1796618620 2874589792 3054251654 3301893680 3593237240 6108503308 6603787360 7186474480 7635629135 12217006616 14372948960 15271258270 24434013232 30542516540 48868026464 61085033080 122170066160 244340132320