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11412414300 = 22352713939097
BaseRepresentation
bin10101010000011101…
…11001111101011100
31002110100110201022010
422220032321331130
5141333034224200
65124235351220
7552544630620
oct125016717534
932410421263
1011412414300
114927012861
122265bb2510
1310cb4c4691
147a3987180
1546bda6150
hex2a83b9f5c

11412414300 has 144 divisors (see below), whose sum is σ = 38009511680. Its totient is φ = 2589719040.

The previous prime is 11412414287. The next prime is 11412414359. The reversal of 11412414300 is 341421411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272352 + ... + 311448.

Almost surely, 211412414300 is an apocalyptic number.

11412414300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19004755840).

11412414300 is an abundant number, since it is smaller than the sum of its proper divisors (26597097380).

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

11412414300 is a wasteful number, since it uses less digits than its factorization.

11412414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39260 (or 39253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11412414300 its reverse (341421411), we get a palindrome (11753835711).

The spelling of 11412414300 in words is "eleven billion, four hundred twelve million, four hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 139 140 150 175 210 278 300 350 417 420 525 556 695 700 834 973 1050 1390 1668 1946 2085 2100 2780 2919 3475 3892 4170 4865 5838 6950 8340 9730 10425 11676 13900 14595 19460 20850 24325 29190 39097 41700 48650 58380 72975 78194 97300 117291 145950 156388 195485 234582 273679 291900 390970 469164 547358 586455 781940 821037 977425 1094716 1172910 1368395 1642074 1954850 2345820 2736790 2932275 3284148 3909700 4105185 5434483 5473580 5864550 6841975 8210370 10868966 11729100 13683950 16303449 16420740 20525925 21737932 27172415 27367900 32606898 38041381 41051850 54344830 65213796 76082762 81517245 82103700 108689660 114124143 135862075 152165524 163034490 190206905 228248286 271724150 326068980 380413810 407586225 456496572 543448300 570620715 760827620 815172450 951034525 1141241430 1630344900 1902069050 2282482860 2853103575 3804138100 5706207150 11412414300