Search a number
-
+
1017444227514 = 2311131769754849
BaseRepresentation
bin11101100111001000110…
…01101101100110111010
310121021012102210222222120
432303210121231212322
5113132211210240024
62055224000502110
7133336134145131
oct16634431554672
93537172728876
101017444227514
1136254a818250
1214523001a936
1374c38317360
143735d120918
151b6ece3b479
hexece466d9ba

1017444227514 has 64 divisors (see below), whose sum is σ = 2531263996800. Its totient is φ = 267858616320.

The previous prime is 1017444227507. The next prime is 1017444227543. The reversal of 1017444227514 is 4157224447101.

It is a super-2 number, since 2×10174442275142 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34862839 + ... + 34892010.

It is an arithmetic number, because the mean of its divisors is an integer number (39550999950).

Almost surely, 21017444227514 is an apocalyptic number.

1017444227514 is an abundant number, since it is smaller than the sum of its proper divisors (1513819769286).

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

1017444227514 is a wasteful number, since it uses less digits than its factorization.

1017444227514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69754895.

The product of its (nonzero) digits is 250880, while the sum is 42.

The spelling of 1017444227514 in words is "one trillion, seventeen billion, four hundred forty-four million, two hundred twenty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 7293 14586 69754849 139509698 209264547 418529094 767303339 906813037 1185832433 1534606678 1813626074 2301910017 2371664866 2720439111 3557497299 4603820034 5440878222 7114994598 9974943407 13044156763 15415821629 19949886814 26088313526 29924830221 30831643258 39132470289 46247464887 59849660442 78264940578 92494929774 169574037919 339148075838 508722113757 1017444227514