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23442024434031 = 3272294507406697
BaseRepresentation
bin1010101010010000001011…
…00010100000100101101111
310002000000221222200121000100
411111020011202200211233
511033033231223342111
6121505041203202143
74636426134666600
oct525100542404557
9102000858617010
1023442024434031
11751878572a425
12276727a676353
13101075ba55288
145b08586ddda7
152a9baa597756
hex1552058a096f

23442024434031 has 72 divisors (see below), whose sum is σ = 40756361602320. Its totient is φ = 12930629273856.

The previous prime is 23442024433963. The next prime is 23442024434093. The reversal of 23442024434031 is 13043442024432.

23442024434031 is a `hidden beast` number, since 2 + 3 + 4 + 4 + 2 + 0 + 244 + 3 + 403 + 1 = 666.

It is not a de Polignac number, because 23442024434031 - 219 = 23442023909743 is a prime.

It is a super-2 number, since 2×234420244340312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442024434431) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 57436675 + ... + 57843371.

It is an arithmetic number, because the mean of its divisors is an integer number (566060577810).

Almost surely, 223442024434031 is an apocalyptic number.

23442024434031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23442024434031 is a deficient number, since it is larger than the sum of its proper divisors (17314337168289).

23442024434031 is a wasteful number, since it uses less digits than its factorization.

23442024434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411253 (or 411243 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 23442024434031 its reverse (13043442024432), we get a palindrome (36485466458463).

The spelling of 23442024434031 in words is "twenty-three trillion, four hundred forty-two billion, twenty-four million, four hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 4507 12789 13521 31549 40563 94647 130703 220843 283941 392109 406697 662529 914921 1176327 1220091 1987587 2744763 2846879 3660273 6404447 8234289 8540637 11794213 19213341 19928153 25621911 35382639 57640023 59784459 82559491 106147917 179353377 247678473 577916437 743035419 1733749311 1832983379 5201247933 5498950137 12830883653 16496850411 38492650959 53156517991 89816185571 115477952877 159469553973 269448556713 372095625937 478408661919 808345670139 1116286877811 2604669381559 3348860633433 7814008144677 23442024434031