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230144242545 = 34572326913121
BaseRepresentation
bin1101011001010110101…
…0100111001101110001
3211000001010222212110000
43112111222213031301
512232313411230140
6253420553500213
722425121533030
oct3262552471561
9730033885400
10230144242545
1189670474848
123872aa11669
1318919548699
14b1d3756717
155ebea91a30
hex3595aa7371

230144242545 has 160 divisors (see below), whose sum is σ = 493857492480. Its totient is φ = 100252753920.

The previous prime is 230144242543. The next prime is 230144242571. The reversal of 230144242545 is 545242441032.

230144242545 is a `hidden beast` number, since 2 + 30 + 1 + 4 + 42 + 42 + 545 = 666.

It is not a de Polignac number, because 230144242545 - 21 = 230144242543 is a prime.

It is a super-2 number, since 2×2301442425452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230144242543) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17533585 + ... + 17546705.

It is an arithmetic number, because the mean of its divisors is an integer number (3086609328).

Almost surely, 2230144242545 is an apocalyptic number.

It is an amenable number.

230144242545 is an abundant number, since it is smaller than the sum of its proper divisors (263713249935).

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

230144242545 is a wasteful number, since it uses less digits than its factorization.

230144242545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13437 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 230144242545 its reverse (545242441032), we get a palindrome (775386683577).

The spelling of 230144242545 in words is "two hundred thirty billion, one hundred forty-four million, two hundred forty-two thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 161 189 207 269 315 345 405 483 567 621 805 807 945 1035 1345 1449 1863 1883 2415 2421 2835 3105 4035 4347 5649 6187 7245 7263 9315 9415 12105 13041 13121 16947 18561 21735 21789 28245 30935 36315 39363 43309 50841 55683 65205 65605 84735 91847 92805 108945 118089 129927 152523 167049 196815 216545 254205 275541 278415 301783 354267 389781 459235 501147 590445 649635 762615 826623 835245 905349 1062801 1169343 1377705 1508915 1771335 1948905 2112481 2479869 2505735 2716047 3508029 3529549 4133115 4526745 5314005 5846715 6337443 7439607 8148141 10562405 10588647 12399345 13580235 17540145 17647745 19012329 24444423 24706843 31687215 31765941 37198035 40740705 52943235 57036987 74120529 81179627 95061645 95297823 122222115 123534215 158829705 171110961 222361587 243538881 285184935 285893469 370602645 405898135 476489115 568257389 667084761 730616643 855554805 1111807935 1217694405 1429467345 1704772167 2001254283 2191849929 2841286945 3335423805 3653083215 5114316501 6575549787 8523860835 10006271415 10959249645 15342949503 25571582505 32877748935 46028848509 76714747515 230144242545