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41031025115040 = 2532531191619831
BaseRepresentation
bin10010101010001010001111…
…01011010011111110100000
312101021112020200120120122100
421111011013223103332200
520334223014412140130
6223133220454410400
711433252023654142
oct1125050753237640
9171245220516570
1041031025115040
111208a184001104
124728107360a00
1319b8294419c2c
14a1bcab174c92
154b24a009ec60
hex255147ad3fa0

41031025115040 has 144 divisors (see below), whose sum is σ = 140468594587776. Its totient is φ = 10906424563200.

The previous prime is 41031025115021. The next prime is 41031025115051. The reversal of 41031025115040 is 4051152013014.

41031025115040 is a `hidden beast` number, since 4 + 1 + 0 + 3 + 102 + 51 + 1 + 504 + 0 = 666.

41031025115040 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 41031025114995 and 41031025115013.

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, 45362076 + ... + 46257755.

It is an arithmetic number, because the mean of its divisors is an integer number (975476351304).

Almost surely, 241031025115040 is an apocalyptic number.

41031025115040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41031025115040 is an abundant number, since it is smaller than the sum of its proper divisors (99437569472736).

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

41031025115040 is a wasteful number, since it uses less digits than its factorization.

41031025115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91620163 (or 91620152 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 41031025115040 its reverse (4051152013014), we get a palindrome (45082177128054).

The spelling of 41031025115040 in words is "forty-one trillion, thirty-one billion, twenty-five million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 311 360 480 622 720 933 1244 1440 1555 1866 2488 2799 3110 3732 4665 4976 5598 6220 7464 9330 9952 11196 12440 13995 14928 18660 22392 24880 27990 29856 37320 44784 49760 55980 74640 89568 111960 149280 223920 447840 91619831 183239662 274859493 366479324 458099155 549718986 732958648 824578479 916198310 1099437972 1374297465 1465917296 1649156958 1832396620 2198875944 2748594930 2931834592 3298313916 3664793240 4122892395 4397751888 5497189860 6596627832 7329586480 8245784790 8795503776 10994379720 13193255664 14659172960 16491569580 21988759440 26386511328 28493767441 32983139160 43977518880 56987534882 65966278320 85481302323 113975069764 131932556640 142468837205 170962604646 227950139528 256443906969 284937674410 341925209292 427406511615 455900279056 512887813938 569875348820 683850418584 854813023230 911800558112 1025775627876 1139750697640 1282219534845 1367700837168 1709626046460 2051551255752 2279501395280 2564439069690 2735401674336 3419252092920 4103102511504 4559002790560 5128878139380 6838504185840 8206205023008 10257756278760 13677008371680 20515512557520 41031025115040