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242022664440 = 233251739546187
BaseRepresentation
bin1110000101100110101…
…1001100100011111000
3212010200222100012222200
43201121223030203320
512431130300230230
6303103401350200
723325355463454
oct3413153144370
9763628305880
10242022664440
1193706536a47
123aaa4a98360
1319a90452bab
14b9dd167664
1564677e9160
hex3859acc8f8

242022664440 has 96 divisors (see below), whose sum is σ = 832842719280. Its totient is φ = 60742941696.

The previous prime is 242022664421. The next prime is 242022664493. The reversal of 242022664440 is 44466220242.

242022664440 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 2 + 2 + 6 + 644 + 4 + 0 = 666.

242022664440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242022664395 and 242022664404.

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 23 ways as a sum of consecutive naturals, for example, 19766974 + ... + 19779213.

Almost surely, 2242022664440 is an apocalyptic number.

242022664440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242022664440 is an abundant number, since it is smaller than the sum of its proper divisors (590820054840).

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

242022664440 is a wasteful number, since it uses less digits than its factorization.

242022664440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39546221 (or 39546214 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 242022664440 its reverse (44466220242), we get a palindrome (286488884682).

The spelling of 242022664440 in words is "two hundred forty-two billion, twenty-two million, six hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 39546187 79092374 118638561 158184748 197730935 237277122 316369496 355915683 395461870 474554244 593192805 672285179 711831366 790923740 949108488 1186385610 1344570358 1423662732 1581847480 1779578415 2016855537 2372771220 2689140716 2847325464 3361425895 3559156830 4033711074 4745542440 5378281432 6050566611 6722851790 7118313660 8067422148 10084277685 12101133222 13445703580 14236627320 16134844296 20168555370 24202266444 26891407160 30252833055 40337110740 48404532888 60505666110 80674221480 121011332220 242022664440