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11461341030412 = 22721347686913933
BaseRepresentation
bin1010011011001000110100…
…1010010010100000001100
31111120200201120012020221111
42212302031022102200030
53000240311300433122
640213133430541404
72262024500221600
oct246621512224014
944520646166844
1011461341030412
113719800240369
12135134bb07864
13651a522920a0
142b8a3634d500
1514d2083ecd77
hexa6c8d29280c

11461341030412 has 144 divisors (see below), whose sum is σ = 25666976442240. Its totient is φ = 4436720967168.

The previous prime is 11461341030319. The next prime is 11461341030443. The reversal of 11461341030412 is 21403014316411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822596998 + ... + 822610930.

It is an arithmetic number, because the mean of its divisors is an integer number (178242891960).

Almost surely, 211461341030412 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 11461341030412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833488221120).

11461341030412 is an abundant number, since it is smaller than the sum of its proper divisors (14205635411828).

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

11461341030412 is a wasteful number, since it uses less digits than its factorization.

11461341030412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20880 (or 20871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 11461341030412 its reverse (21403014316411), we get a palindrome (32864355346823).

The spelling of 11461341030412 in words is "eleven trillion, four hundred sixty-one billion, three hundred forty-one million, thirty thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 47 49 52 91 94 98 182 188 196 329 364 611 637 658 1222 1274 1316 2303 2444 2548 4277 4606 6869 8554 9212 13738 13933 17108 27476 27866 29939 48083 55732 59878 89297 96166 97531 119756 178594 181129 192332 195062 322843 336581 357188 362258 390124 625079 645686 654851 673162 682717 724516 1250158 1267903 1291372 1309702 1346324 1365434 2259901 2500316 2535806 2619404 2730868 4196959 4375553 4519802 4583957 5071612 8393918 8513063 8751106 8875321 9039604 9167914 15819307 16787836 17026126 17502212 17750642 18335828 29378713 31638614 32087699 34052252 35501284 58757426 59591441 63277228 64175398 95705777 117514852 119182882 128350796 191411554 205650991 238365764 382823108 411301982 417140087 669940439 822603964 834280174 1244175101 1339880878 1668560348 2488350202 2679761756 4498171519 4689583073 4976700404 8709225707 8996343038 9379166146 17418451414 17992686076 18758332292 31487200633 34836902828 58476229747 60964579949 62974401266 116952459494 121929159898 125948802532 220410404431 233904918988 243858319796 409333608229 440820808862 818667216458 881641617724 1637334432916 2865335257603 5730670515206 11461341030412