Search a number
-
+
1414133343304 = 2311217137627257
BaseRepresentation
bin10100100101000000111…
…010100110010001001000
312000012010101101000200021
4110211000322212101020
5141132121113441204
63001351025150224
7204111354042403
oct24450072462110
95005111330607
101414133343304
114a5804451300
121aa09a48b374
13a3476a321c6
144c6316b2d3a
1526bb8d32154
hex14940ea6448

1414133343304 has 96 divisors (see below), whose sum is σ = 3108427199640. Its totient is φ = 600559984640.

The previous prime is 1414133343299. The next prime is 1414133343409. The reversal of 1414133343304 is 4033433314141.

It can be written as a sum of positive squares in 4 ways, for example, as 1168781534404 + 245351808900 = 1081102^2 + 495330^2 .

It is a super-2 number, since 2×14141333433042 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 1414133343304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940844 + ... + 2568100.

Almost surely, 21414133343304 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 1414133343304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554213599820).

1414133343304 is an abundant number, since it is smaller than the sum of its proper divisors (1694293856336).

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

1414133343304 is a wasteful number, since it uses less digits than its factorization.

1414133343304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627439 (or 627424 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

Adding to 1414133343304 its reverse (4033433314141), we get a palindrome (5447566657445).

The spelling of 1414133343304 in words is "one trillion, four hundred fourteen billion, one hundred thirty-three million, three hundred forty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 137 187 242 274 374 484 548 748 968 1096 1496 1507 2057 2329 3014 4114 4658 6028 8228 9316 12056 16456 16577 18632 25619 33154 51238 66308 102476 132616 204952 281809 563618 627257 1127236 1254514 2254472 2509028 5018056 6899827 10663369 13799654 21326738 27599308 42653476 55198616 75898097 85306952 85934209 117297059 151796194 171868418 234594118 303592388 343736836 469188236 607184776 687473672 938376472 945276299 1290267649 1460881553 1890552598 2580535298 2921763106 3781105196 5161070596 5843526212 7562210392 10322141192 10398039289 11687052424 16069697083 20796078578 32139394166 41592157156 64278788332 83184314312 128557576664 176766667913 353533335826 707066671652 1414133343304