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11314204434 = 23213179313863
BaseRepresentation
bin10101000100110000…
…10000111100010010
31002012111200010200200
422202120100330102
5141132414020214
65110410400030
7550243102521
oct124230207422
932174603620
1011314204434
114886634285
122239130016
1310b4059930
147949004b8
15463456d09
hex2a2610f12

11314204434 has 96 divisors (see below), whose sum is σ = 26662970880. Its totient is φ = 3446786304.

The previous prime is 11314204381. The next prime is 11314204537. The reversal of 11314204434 is 43440241311.

11314204434 is a `hidden beast` number, since 1 + 13 + 14 + 204 + 434 = 666.

It is a super-2 number, since 2×113142044342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11314204398 and 11314204407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13109887 + ... + 13110749.

It is an arithmetic number, because the mean of its divisors is an integer number (277739280).

Almost surely, 211314204434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314204434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13331485440).

11314204434 is an abundant number, since it is smaller than the sum of its proper divisors (15348766446).

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

11314204434 is a wasteful number, since it uses less digits than its factorization.

11314204434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11314204434 its reverse (43440241311), we get a palindrome (54754445745).

The spelling of 11314204434 in words is "eleven billion, three hundred fourteen million, two hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 179 234 313 358 537 626 863 939 1074 1611 1726 1878 2327 2589 2817 3222 4069 4654 5178 5634 6981 7767 8138 11219 12207 13962 15534 20943 22438 24414 33657 36621 41886 56027 67314 73242 100971 112054 154477 168081 201942 270119 308954 336162 463431 504243 540238 728351 810357 926862 1008486 1390293 1456702 1620714 2008201 2185053 2431071 2780586 3511547 4016402 4370106 4862142 6024603 6555159 7023094 10534641 12049206 13110318 18073809 21069282 31603923 36147618 48351301 63207846 96702602 145053903 290107806 435161709 628566913 870323418 1257133826 1885700739 3771401478 5657102217 11314204434