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244795373824 = 281741072
BaseRepresentation
bin1110001111111011110…
…0001111100100000000
3212101212012200110012211
43203332330033210000
513002320103430244
6304242450231504
723454154226341
oct3437674174400
9771765613184
10244795373824
11948a9674601
123b539585594
131a112a16431
14bbc34c60c8
15657ae42934
hex38fef0f900

244795373824 has 135 divisors (see below), whose sum is σ = 524071245607. Its totient is φ = 114121207808.

The previous prime is 244795373821. The next prime is 244795373897. The reversal of 244795373824 is 428373597442.

The square root of 244795373824 is 494768.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 75972999424 + 168822374400 = 275632^2 + 410880^2 .

It is a Duffinian number.

Its product of digits (40642560) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (244795373821) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2287807179 + ... + 2287807285.

Almost surely, 2244795373824 is an apocalyptic number.

244795373824 is the 494768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244795373824

244795373824 is an abundant number, since it is smaller than the sum of its proper divisors (279275871783).

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

244795373824 is an frugal number, since it uses more digits than its factorization.

244795373824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 126 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 58.

The spelling of 244795373824 in words is "two hundred forty-four billion, seven hundred ninety-five million, three hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 107 128 136 214 256 272 289 428 544 578 856 1088 1156 1712 1819 2176 2312 3424 3638 4352 4624 4913 6848 7276 9248 9826 11449 13696 14552 18496 19652 22898 27392 29104 30923 36992 39304 45796 58208 61846 73984 78608 83521 91592 116416 123692 157216 167042 183184 194633 232832 247384 314432 334084 366368 389266 465664 494768 525691 628864 668168 732736 778532 989536 1051382 1257728 1336336 1465472 1557064 1979072 2102764 2672672 2930944 3114128 3308761 3958144 4205528 5345344 6228256 6617522 7916288 8411056 8936747 10690688 12456512 13235044 16822112 17873494 21381376 24913024 26470088 33644224 35746988 49826048 52940176 56248937 67288448 71493976 105880352 112497874 134576896 142987952 211760704 224995748 285975904 423521408 449991496 571951808 847042816 899982992 956231929 1143903616 1799965984 1912463858 2287807232 3599931968 3824927716 7199863936 7649855432 14399727872 15299710864 30599421728 61198843456 122397686912 244795373824