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11334321034434 = 235131421422869
BaseRepresentation
bin1010010011101111101000…
…1011011101010011000010
31111010112212022122220100000
42210323322023131103002
52441200142141100214
640034525403340430
72246610020115606
oct244737213352302
944115768586300
1011334321034434
11367a949814382
121330801221716
13642a8b8c0458
142b2826963506
15149c71ecd809
hexa4efa2dd4c2

11334321034434 has 96 divisors (see below), whose sum is σ = 25722661124160. Its totient is φ = 3740352033600.

The previous prime is 11334321034423. The next prime is 11334321034471. The reversal of 11334321034434 is 43443012343311.

11334321034434 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 4 + 3 + 210 + 3 + 4 + 434 = 666.

It is a super-2 number, since 2×113343210344342 (a number of 27 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 47 ways as a sum of consecutive naturals, for example, 26591952 + ... + 27014820.

It is an arithmetic number, because the mean of its divisors is an integer number (267944386710).

Almost surely, 211334321034434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334321034434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861330562080).

11334321034434 is an abundant number, since it is smaller than the sum of its proper divisors (14388340089726).

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

11334321034434 is a wasteful number, since it uses less digits than its factorization.

11334321034434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423438 (or 423426 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 11334321034434 its reverse (43443012343311), we get a palindrome (54777333377745).

The spelling of 11334321034434 in words is "eleven trillion, three hundred thirty-four billion, three hundred twenty-one million, thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 421 486 786 842 1179 1263 2358 2526 3537 3789 7074 7578 10611 11367 21222 22734 31833 34101 55151 63666 68202 102303 110302 165453 204606 330906 422869 496359 845738 992718 1268607 1489077 2537214 2978154 3805821 4467231 7611642 8934462 11417463 13401693 22834926 26803386 34252389 55395839 68504778 102757167 110791678 166187517 178027849 205514334 332375034 356055698 498562551 534083547 997125102 1068167094 1495687653 1602250641 2991375306 3204501282 4487062959 4806751923 8974125918 9613503846 13461188877 14420255769 23321648219 26922377754 28840511538 43260767307 46643296438 69964944657 86521534614 139929889314 209894833971 419789667942 629684501913 1259369003826 1889053505739 3778107011478 5667160517217 11334321034434