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40934676619368 = 23327279729038111
BaseRepresentation
bin10010100111010110110001…
…10110111110000001101000
312100221022112222212212122200
421103223120312332001220
520331133204203304433
6223021044132020200
711423301306161640
oct1123533066760150
9170838488785580
1040934676619368
1112052331872284
1247114b8461660
1319ac17b28164c
14a1736b06d520
154aec116ec613
hex253ad8dbe068

40934676619368 has 96 divisors (see below), whose sum is σ = 126747874306560. Its totient is φ = 11691440000640.

The previous prime is 40934676619327. The next prime is 40934676619373. The reversal of 40934676619368 is 86391667643904.

40934676619368 is a `hidden beast` number, since 4 + 0 + 93 + 467 + 6 + 6 + 19 + 3 + 68 = 666.

40934676619368 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 40934676619296 and 40934676619305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13109368 + ... + 15928743.

It is an arithmetic number, because the mean of its divisors is an integer number (1320290357360).

Almost surely, 240934676619368 is an apocalyptic number.

It is an amenable number.

40934676619368 is an abundant number, since it is smaller than the sum of its proper divisors (85813197687192).

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

40934676619368 is a wasteful number, since it uses less digits than its factorization.

40934676619368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29040927 (or 29040920 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 40934676619368 in words is "forty trillion, nine hundred thirty-four billion, six hundred seventy-six million, six hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2797 5594 8391 11188 16782 19579 22376 25173 33564 39158 50346 58737 67128 78316 100692 117474 156632 176211 201384 234948 352422 469896 704844 1409688 29038111 58076222 87114333 116152444 174228666 203266777 232304888 261342999 348457332 406533554 522685998 609800331 696914664 813067108 1045371996 1219600662 1626134216 1829400993 2090743992 2439201324 3658801986 4878402648 7317603972 14635207944 81219596467 162439192934 243658789401 324878385868 487317578802 568537175269 649756771736 730976368203 974635157604 1137074350538 1461952736406 1705611525807 1949270315208 2274148701076 2923905472812 3411223051614 4548297402152 5116834577421 5847810945624 6822446103228 10233669154842 13644892206456 20467338309684 40934676619368