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741004003701 = 321353971737121
BaseRepresentation
bin10101100100001110100…
…01111100100101110101
32121211122211202121101200
422302013101330211311
544120034011104301
61324225035243113
7104351525051553
oct12620721744565
92554584677350
10741004003701
11266292495565
12bb7408a9499
1354b5152bb20
1427c16d82bd3
151441dcb1c86
hexac8747c975

741004003701 has 96 divisors (see below), whose sum is σ = 1193555012832. Its totient is φ = 440165007360.

The previous prime is 741004003693. The next prime is 741004003711. The reversal of 741004003701 is 107300400147.

It can be written as a sum of positive squares in 16 ways, for example, as 220030417476 + 520973586225 = 469074^2 + 721785^2 .

It is not a de Polignac number, because 741004003701 - 23 = 741004003693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741004003711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104055421 + ... + 104062541.

It is an arithmetic number, because the mean of its divisors is an integer number (12432864717).

Almost surely, 2741004003701 is an apocalyptic number.

It is an amenable number.

741004003701 is a deficient number, since it is larger than the sum of its proper divisors (452551009131).

741004003701 is a wasteful number, since it uses less digits than its factorization.

741004003701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7463 (or 7460 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 741004003701 its reverse (107300400147), we get a palindrome (848304403848).

The spelling of 741004003701 in words is "seven hundred forty-one billion, four million, three thousand, seven hundred one".

Divisors: 1 3 9 13 39 53 97 117 159 173 291 477 519 689 873 1261 1557 2067 2249 3783 5141 6201 6747 7121 9169 11349 15423 16781 20241 21363 27507 46269 50343 64089 66833 82521 92573 119197 151029 200499 218153 277719 357591 377413 601497 654459 690737 833157 889393 1072773 1132239 1231933 1963377 2072211 2668179 3396717 3695799 4906369 6216633 8004537 8979581 11087397 11562109 14719107 16015129 26938743 34686327 36609061 44157321 48045387 65292449 80816229 104058981 109827183 119497501 144136161 195877347 329481549 358492503 475917793 587632041 848801837 1075477509 1427753379 1553467513 2546405511 4283260137 4660402539 6333367553 7639216533 13981207617 19000102659 57000307977 82333778189 247001334567 741004003701