Search a number
-
+
1439846681064 = 23311172711183843
BaseRepresentation
bin10100111100111101100…
…011001100100111101000
312002122111101112220221020
4110330331203030213220
5142042301222243224
63021242331212440
7206011512565611
oct24747543144750
95078441486836
101439846681064
115056a9a07570
121b30758a7120
13a5a13c9796c
144d9906a6c08
15276c145dc79
hex14f3d8cc9e8

1439846681064 has 128 divisors (see below), whose sum is σ = 4173192161280. Its totient is φ = 409135795200.

The previous prime is 1439846681041. The next prime is 1439846681071. The reversal of 1439846681064 is 4601866489341.

It is a happy number.

It is a super-2 number, since 2×14398466810642 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1439846680989 and 1439846681007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624327 + ... + 1808169.

It is an arithmetic number, because the mean of its divisors is an integer number (32603063760).

Almost surely, 21439846681064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1439846681064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086596080640).

1439846681064 is an abundant number, since it is smaller than the sum of its proper divisors (2733345480216).

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

1439846681064 is a wasteful number, since it uses less digits than its factorization.

1439846681064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184151 (or 1184147 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 60.

The spelling of 1439846681064 in words is "one trillion, four hundred thirty-nine billion, eight hundred forty-six million, six hundred eighty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 271 374 408 542 561 748 813 1084 1122 1496 1626 2168 2244 2981 3252 4488 4607 5962 6504 8943 9214 11924 13821 17886 18428 23848 27642 35772 36856 50677 55284 71544 101354 110568 152031 202708 304062 405416 608124 1183843 1216248 2367686 3551529 4735372 7103058 9470744 13022273 14206116 20125331 26044546 28412232 39066819 40250662 52089092 60375993 78133638 80501324 104178184 120751986 156267276 161002648 221378641 241503972 312534552 320821453 442757282 483007944 641642906 664135923 885514564 962464359 1283285812 1328271846 1771029128 1924928718 2566571624 2656543692 3529035983 3849857436 5313087384 5453964701 7058071966 7699714872 10587107949 10907929402 14116143932 16361894103 21174215898 21815858804 28232287864 32723788206 42348431796 43631717608 59993611711 65447576412 84696863592 119987223422 130895152824 179980835133 239974446844 359961670266 479948893688 719923340532 1439846681064