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231418630989 = 33713616312447
BaseRepresentation
bin1101011110000110100…
…0000001001101001101
3211010022221222111202000
43113201220001031031
512242421132142424
6254151240222513
722501524623160
oct3274150011515
9733287874660
10231418630989
118a164869737
1238a2576aa39
1318a90586ca0
14b2b4acbad7
1560468c33c9
hex35e1a0134d

231418630989 has 128 divisors (see below), whose sum is σ = 429732495360. Its totient is φ = 119826604800.

The previous prime is 231418630967. The next prime is 231418631021. The reversal of 231418630989 is 989036814132.

231418630989 is a `hidden beast` number, since 2 + 314 + 18 + 6 + 309 + 8 + 9 = 666.

It is not a de Polignac number, because 231418630989 - 213 = 231418622797 is a prime.

It is a super-2 number, since 2×2314186309892 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231418630889) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 94571164 + ... + 94573610.

It is an arithmetic number, because the mean of its divisors is an integer number (3357285120).

Almost surely, 2231418630989 is an apocalyptic number.

It is an amenable number.

231418630989 is a deficient number, since it is larger than the sum of its proper divisors (198313864371).

231418630989 is a wasteful number, since it uses less digits than its factorization.

231418630989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 231418630989 in words is "two hundred thirty-one billion, four hundred eighteen million, six hundred thirty thousand, nine hundred eighty-nine".

Divisors: 1 3 7 9 13 21 27 39 61 63 91 117 183 189 273 351 427 549 631 793 819 1281 1647 1893 2379 2447 2457 3843 4417 5551 5679 7137 7341 8203 11529 13251 16653 17037 17129 21411 22023 24609 31811 38491 39753 49959 51387 57421 66069 73827 95433 115473 119259 149267 149877 154161 172263 221481 222677 269437 286299 346419 447801 462483 500383 516789 668031 808311 858897 1039257 1044869 1343403 1501149 1544057 1550367 1940471 2004093 2424933 3134607 3502681 4030209 4503447 4632171 5821413 6012279 7274799 9403821 10508043 10808399 13510341 13583297 13896513 17464239 20072741 28211463 31524129 32425197 40749891 41689539 52392717 60218223 94187477 94572387 97275591 122249673 140509187 180654669 282562431 291826773 366749019 421527561 541964007 659312339 847687293 1224437201 1264582683 1977937017 2543061879 3673311603 3793748049 5933811051 8571060407 11019934809 17801433153 25713181221 33059804427 77139543663 231418630989