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11214104141424 = 2432943821228199
BaseRepresentation
bin1010001100101111110010…
…1100011001111001110000
31110201001120012100222120010
42203023330230121321300
52432212441130011144
635503404402214520
72235122645310222
oct243137454317160
943631505328503
1011214104141424
113633969489338
121311450954440
136346407b5932
142aaaa08bc412
15146a87e835b9
hexa32fcb19e70

11214104141424 has 160 divisors (see below), whose sum is σ = 30703159872000. Its totient is φ = 3520894325760.

The previous prime is 11214104141419. The next prime is 11214104141441. The reversal of 11214104141424 is 42414140141211.

It is a happy number.

It is a super-2 number, since 2×112141041414242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11214104141391 and 11214104141400.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 49027677 + ... + 49255875.

It is an arithmetic number, because the mean of its divisors is an integer number (191894749200).

Almost surely, 211214104141424 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 11214104141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351579936000).

11214104141424 is an abundant number, since it is smaller than the sum of its proper divisors (19489055730576).

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

11214104141424 is a wasteful number, since it uses less digits than its factorization.

11214104141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229103 (or 229097 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 11214104141424 its reverse (42414140141211), we get a palindrome (53628244282635).

The spelling of 11214104141424 in words is "eleven trillion, two hundred fourteen billion, one hundred four million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 821 1032 1247 1392 1642 2064 2463 2494 3284 3741 4926 4988 6568 7482 9852 9976 13136 14964 19704 19952 23809 29928 35303 39408 47618 59856 70606 71427 95236 105909 141212 142854 190472 211818 228199 282424 285708 380944 423636 456398 564848 571416 684597 847272 912796 1023787 1142832 1369194 1694544 1825592 2047574 2738388 3071361 3651184 4095148 5476776 6142722 6617771 8190296 9812557 10953552 12285444 13235542 16380592 19625114 19853313 24570888 26471084 29437671 39250228 39706626 49141776 52942168 58875342 78500456 79413252 105884336 117750684 157000912 158826504 187351379 235501368 284564153 317653008 374702758 471002736 562054137 569128306 749405516 853692459 1124108274 1138256612 1498811032 1707384918 2248216548 2276513224 2997622064 3414769836 4496433096 4553026448 5433189991 6829539672 8056109297 8992866192 10866379982 13659079344 16112218594 16299569973 21732759964 24168327891 32224437188 32599139946 43465519928 48336655782 64448874376 65198279892 86931039856 96673311564 128897748752 130396559784 193346623128 233627169613 260793119568 386693246256 467254339226 700881508839 934508678452 1401763017678 1869017356904 2803526035356 3738034713808 5607052070712 11214104141424