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242050325244 = 2237213173183037
BaseRepresentation
bin1110000101101101010…
…0101101101011111100
3212010202220101112110220
43201123110231223330
512431204340401434
6303110230301340
723326142550300
oct3413324555374
9763686345426
10242050325244
1193720109a12
123aab21b7850
1319a960b9230
14ba02ac7d00
156469e5ed49
hex385b52dafc

242050325244 has 144 divisors (see below), whose sum is σ = 711625386528. Its totient is φ = 63468099072.

The previous prime is 242050325243. The next prime is 242050325249. The reversal of 242050325244 is 442523050242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242050325243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1230894 + ... + 1413930.

It is an arithmetic number, because the mean of its divisors is an integer number (4941842962).

Almost surely, 2242050325244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242050325244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355812693264).

242050325244 is an abundant number, since it is smaller than the sum of its proper divisors (469575061284).

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

242050325244 is a wasteful number, since it uses less digits than its factorization.

242050325244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183244 (or 183235 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 242050325244 its reverse (442523050242), we get a palindrome (684573375486).

The spelling of 242050325244 in words is "two hundred forty-two billion, fifty million, three hundred twenty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 173 182 196 273 294 346 364 519 546 588 637 692 1038 1092 1211 1274 1911 2076 2249 2422 2548 3633 3822 4498 4844 6747 7266 7644 8477 8996 13494 14532 15743 16954 25431 26988 31486 33908 47229 50862 62972 94458 101724 110201 183037 188916 220402 330603 366074 440804 549111 661206 732148 1098222 1281259 1322412 2196444 2379481 2562518 3843777 4758962 5125036 7138443 7687554 8968813 9517924 14276886 15375108 16656367 17937626 26906439 28553772 31665401 33312734 35875252 49969101 53812878 63330802 66625468 94996203 99938202 107625756 116594569 126661604 189992406 199876404 221657807 233189138 349783707 379984812 411650213 443315614 466378276 664973421 699567414 823300426 886631228 1234950639 1329946842 1399134828 1551604649 1646600852 2469901278 2659893684 2881551491 3103209298 4654813947 4939802556 5763102982 6206418596 8644654473 9309627894 11526205964 17289308946 18619255788 20170860437 34578617892 40341720874 60512581311 80683441748 121025162622 242050325244