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242025611472 = 2434593165223
BaseRepresentation
bin1110000101100111011…
…0011100000011010000
3212010201011212221120000
43201121312130003100
512431132024031342
6303103544450000
723325422516421
oct3413166340320
9763634787500
10242025611472
119370816a107
123aaa5a79900
1319a90c453b8
14b9dd6d3648
156467bcc44c
hex3859d9c0d0

242025611472 has 100 divisors (see below), whose sum is σ = 712365313440. Its totient is φ = 79307802432.

The previous prime is 242025611423. The next prime is 242025611519. The reversal of 242025611472 is 274116520242.

242025611472 is a `hidden beast` number, since 2 + 4 + 20 + 2 + 561 + 1 + 4 + 72 = 666.

242025611472 is digitally balanced in base 3, 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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1506148 + ... + 1659075.

Almost surely, 2242025611472 is an apocalyptic number.

It is an amenable number.

242025611472 is an abundant number, since it is smaller than the sum of its proper divisors (470339701968).

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

242025611472 is a wasteful number, since it uses less digits than its factorization.

242025611472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165302 (or 3165287 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 242025611472 in words is "two hundred forty-two billion, twenty-five million, six hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1416 1593 2124 2832 3186 4248 4779 6372 8496 9558 12744 19116 25488 38232 76464 3165223 6330446 9495669 12660892 18991338 25321784 28487007 37982676 50643568 56974014 75965352 85461021 113948028 151930704 170922042 186748157 227896056 256383063 341844084 373496314 455792112 512766126 560244471 683688168 746992628 1025532252 1120488942 1367376336 1493985256 1680733413 2051064504 2240977884 2987970512 3361466826 4102129008 4481955768 5042200239 6722933652 8963911536 10084400478 13445867304 15126600717 20168800956 26891734608 30253201434 40337601912 60506402868 80675203824 121012805736 242025611472