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242686028448 = 253531209623
BaseRepresentation
bin1110001000000100110…
…1101110101010100000
3212012102012120121100000
43202001031232222200
512434010110402243
6303253255500000
723350662130353
oct3420115565240
9765365517300
10242686028448
1193a16a33166
123b04b087600
1319b67a05986
14ba632c629a
1564a5b815d3
hex388136eaa0

242686028448 has 72 divisors (see below), whose sum is σ = 715699097568. Its totient is φ = 80895340224.

The previous prime is 242686028411. The next prime is 242686028513. The reversal of 242686028448 is 844820686242.

242686028448 is a `hidden beast` number, since 2 + 4 + 26 + 8 + 602 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 242686028394 and 242686028403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15597036 + ... + 15612587.

It is an arithmetic number, because the mean of its divisors is an integer number (9940265244).

Almost surely, 2242686028448 is an apocalyptic number.

It is an amenable number.

242686028448 is an abundant number, since it is smaller than the sum of its proper divisors (473013069120).

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

242686028448 is an equidigital number, since it uses as much as digits as its factorization.

242686028448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31209648 (or 31209628 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 242686028448 in words is "two hundred forty-two billion, six hundred eighty-six million, twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 31209623 62419246 93628869 124838492 187257738 249676984 280886607 374515476 499353968 561773214 749030952 842659821 998707936 1123546428 1498061904 1685319642 2247092856 2527979463 2996123808 3370639284 4494185712 5055958926 6741278568 7583938389 8988371424 10111917852 13482557136 15167876778 20223835704 26965114272 30335753556 40447671408 60671507112 80895342816 121343014224 242686028448