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14011054434 = 23313131251607
BaseRepresentation
bin11010000110001111…
…11011100101100010
31100011110021022102000
431003013323211202
5212143312220214
610234145304430
71004130666126
oct150307734542
940143238360
1014011054434
115a3a969633
122870335116
1314239ac670
1496cb53586
155700b8809
hex3431fb962

14011054434 has 128 divisors (see below), whose sum is σ = 33977180160. Its totient is φ = 4254120000.

The previous prime is 14011054397. The next prime is 14011054451. The reversal of 14011054434 is 43445011041.

14011054434 is a `hidden beast` number, since 1 + 4 + 0 + 110 + 544 + 3 + 4 = 666.

It is a super-2 number, since 2×140110544342 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14011054398 and 14011054407.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23082159 + ... + 23082765.

It is an arithmetic number, because the mean of its divisors is an integer number (265446720).

Almost surely, 214011054434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14011054434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988590080).

14011054434 is an abundant number, since it is smaller than the sum of its proper divisors (19966125726).

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

14011054434 is a wasteful number, since it uses less digits than its factorization.

14011054434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14011054434 its reverse (43445011041), we get a palindrome (57456065475).

The spelling of 14011054434 in words is "fourteen billion, eleven million, fifty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 131 234 251 262 351 393 502 607 702 753 786 1179 1214 1506 1703 1821 2259 2358 3263 3406 3537 3642 4518 5109 5463 6526 6777 7074 7891 9789 10218 10926 13554 15327 15782 16389 19578 23673 29367 30654 32778 32881 45981 47346 58734 65762 71019 79517 88101 91962 98643 142038 152357 159034 176202 197286 213057 238551 295929 304714 426114 427453 457071 477102 591858 715653 854906 887787 914142 1033721 1282359 1371213 1431306 1775574 1980641 2067442 2146959 2564718 2742426 3101163 3847077 3961282 4113639 4293918 5941923 6202326 7694154 8227278 9303489 11541231 11883846 17825769 18606978 19958767 23082462 27910467 35651538 39917534 53477307 55820934 59876301 106954614 119752602 179628903 259463971 359257806 518927942 538886709 778391913 1077773418 1556783826 2335175739 4670351478 7005527217 14011054434