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242122044132 = 22332339621763
BaseRepresentation
bin1110000101111110011…
…0010011001011100100
3212010221220100020022000
43201133212103023210
512431331220403012
6303121311405300
723331003263253
oct3413746231344
9763856306260
10242122044132
1193757644421
123ab12223830
1319aa7c0a247
14ba0c43679a
1564713c9ddc
hex385f9932e4

242122044132 has 48 divisors (see below), whose sum is σ = 630417977280. Its totient is φ = 80360956224.

The previous prime is 242122044127. The next prime is 242122044169. The reversal of 242122044132 is 231440221242.

It is a happy number.

242122044132 is a `hidden beast` number, since 2 + 4 + 21 + 220 + 4 + 413 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242122044096 and 242122044105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4785718 + ... + 4836045.

It is an arithmetic number, because the mean of its divisors is an integer number (13133707860).

Almost surely, 2242122044132 is an apocalyptic number.

It is an amenable number.

242122044132 is an abundant number, since it is smaller than the sum of its proper divisors (388295933148).

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

242122044132 is a wasteful number, since it uses less digits than its factorization.

242122044132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9622009 (or 9622001 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242122044132 its reverse (231440221242), we get a palindrome (473562265374).

The spelling of 242122044132 in words is "two hundred forty-two billion, one hundred twenty-two million, forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 233 466 699 932 1398 2097 2796 4194 6291 8388 12582 25164 9621763 19243526 28865289 38487052 57730578 86595867 115461156 173191734 259787601 346383468 519575202 1039150404 2241870779 4483741558 6725612337 8967483116 13451224674 20176837011 26902449348 40353674022 60530511033 80707348044 121061022066 242122044132