Search a number
-
+
31434575340003 = 3113173491326887
BaseRepresentation
bin1110010010110111011101…
…01100100110000111100011
311010022010010121021210220020
413021123232230212013203
513110011002241340003
6150504502231244523
76423034036522623
oct711335654460743
9133263117253806
1031434575340003
11a01a368311000
123638293819743
1314703632a2c94
147a962791c883
15397a43583d53
hex1c96eeb261e3

31434575340003 has 64 divisors (see below), whose sum is σ = 48952613606400. Its totient is φ = 17879205020160.

The previous prime is 31434575340001. The next prime is 31434575340017. The reversal of 31434575340003 is 30004357543413.

It is not a de Polignac number, because 31434575340003 - 21 = 31434575340001 is a prime.

It is a super-3 number, since 3×314345753400033 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31434575340001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23027026 + ... + 24353912.

It is an arithmetic number, because the mean of its divisors is an integer number (764884587600).

Almost surely, 231434575340003 is an apocalyptic number.

31434575340003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

31434575340003 is a deficient number, since it is larger than the sum of its proper divisors (17518038266397).

31434575340003 is a wasteful number, since it uses less digits than its factorization.

31434575340003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327289 (or 1327267 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 42.

The spelling of 31434575340003 in words is "thirty-one trillion, four hundred thirty-four billion, five hundred seventy-five million, three hundred forty thousand, three".

Divisors: 1 3 11 17 33 51 121 187 349 363 561 1047 1331 2057 3839 3993 5933 6171 11517 17799 22627 42229 65263 67881 126687 195789 464519 717893 1326887 1393557 2153679 3980661 7896823 14595757 22557079 23690469 43787271 67671237 160553327 248127869 463083563 481659981 744383607 1389250689 1766086597 2729406559 5093919193 5298259791 7872420571 8188219677 15281757579 23617261713 30023472149 56033111123 86596626281 90070416447 168099333369 259789878843 616364222353 952562889091 1849092667059 2857688667273 10478191780001 31434575340003