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40204043444104 = 23671811934874409
BaseRepresentation
bin10010010010000101110111…
…01110100101111110001000
312021100110122220122221100221
421021002323232211332020
520232200340110202404
6221301252123235424
711316434450515351
oct1111027356457610
9167313586587327
1040204043444104
11118a0491452711
124613990978b74
1319582c05096c7
149cdc595bcd28
1549abed148954
hex2490bbba5f88

40204043444104 has 128 divisors (see below), whose sum is σ = 77505353452800. Its totient is φ = 19545892945920.

The previous prime is 40204043444101. The next prime is 40204043444107. The reversal of 40204043444104 is 40144434040204.

40204043444104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40204043444101) and next prime (40204043444107).

It is a self number, because there is not a number n which added to its sum of digits gives 40204043444104.

It is not an unprimeable number, because it can be changed into a prime (40204043444101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9118628652 + ... + 9118633060.

It is an arithmetic number, because the mean of its divisors is an integer number (605510573850).

Almost surely, 240204043444104 is an apocalyptic number.

It is an amenable number.

40204043444104 is a deficient number, since it is larger than the sum of its proper divisors (37301310008696).

40204043444104 is a wasteful number, since it uses less digits than its factorization.

40204043444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 40204043444104 its reverse (40144434040204), we get a palindrome (80348477484308).

The spelling of 40204043444104 in words is "forty trillion, two hundred four billion, forty-three million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 8 67 134 181 193 268 362 386 487 536 724 772 974 1448 1544 1948 3896 4409 8818 12127 12931 17636 24254 25862 32629 34933 35272 48508 51724 65258 69866 88147 93991 97016 103448 130516 139732 176294 187982 261032 279464 295403 352588 375964 590806 705176 751928 798029 850937 1181612 1596058 1701874 2147183 2340511 2363224 3192116 3403748 4294366 4681022 5905849 6297397 6384232 6807496 8588732 9362044 11811698 12594794 17012371 17177464 18724088 23623396 25189588 34024742 47246792 50379176 53467943 57012779 68049484 106935886 114025558 136098968 143861261 154019597 213871772 228051116 287722522 308039194 388640123 414406319 427743544 456102232 575445044 616078388 777280246 828812638 1139828857 1150890088 1232156776 1554560492 1657625276 2279657714 3109120984 3315250552 4559315428 9118630856 10319312999 20638625998 26038888241 27765223373 41277251996 52077776482 55530446746 75007543739 82554503992 104155552964 111060893492 150015087478 208311105928 222121786984 300030174956 600060349912 5025505430513 10051010861026 20102021722052 40204043444104