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11420814808744 = 23117389101197779
BaseRepresentation
bin1010011000110001110110…
…0111000001011010101000
31111102211010012221220000121
42212030131213001122220
52444104312042334434
640142352213213024
72256061303063045
oct246143547013250
944384105856017
1011420814808744
1137035a4246190
12134551b931174
1364ac941a6473
142b6aadd221cc
1514c13561d7b4
hexa631d9c16a8

11420814808744 has 128 divisors (see below), whose sum is σ = 24184063728000. Its totient is φ = 5012485632000.

The previous prime is 11420814808721. The next prime is 11420814808751. The reversal of 11420814808744 is 44780841802411.

It is a junction number, because it is equal to n+sod(n) for n = 11420814808691 and 11420814808700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57646447 + ... + 57844225.

It is an arithmetic number, because the mean of its divisors is an integer number (188937997875).

Almost surely, 211420814808744 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 11420814808744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092031864000).

11420814808744 is an abundant number, since it is smaller than the sum of its proper divisors (12763248919256).

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

11420814808744 is a wasteful number, since it uses less digits than its factorization.

11420814808744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198059 (or 198055 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 52.

The spelling of 11420814808744 in words is "eleven trillion, four hundred twenty billion, eight hundred fourteen million, eight hundred eight thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 44 73 88 89 101 146 178 202 292 356 404 584 712 803 808 979 1111 1606 1958 2222 3212 3916 4444 6424 6497 7373 7832 8888 8989 12994 14746 17978 25988 29492 35956 51976 58984 71467 71912 81103 98879 142934 162206 197758 197779 285868 324412 395516 395558 571736 648824 656197 791032 791116 1312394 1582232 2175569 2624788 4351138 5249576 7218167 8702276 14436334 14437867 17404552 17602331 19975679 28872668 28875734 35204662 39951358 57745336 57751468 70409324 79902716 115502936 140818648 158816537 159805432 193625641 219732469 317633074 387251282 439464938 635266148 774502564 878929876 1270532296 1284970163 1458224567 1549005128 1757859752 1777835431 2569940326 2916449134 3555670862 5139880652 5832898268 7111341724 10279761304 11665796536 14134671793 14222683448 16040470237 19556189741 28269343586 32080940474 39112379482 56538687172 64161880948 78224758964 113077374344 128323761896 129781986463 156449517928 259563972926 519127945852 1038255891704 1427601851093 2855203702186 5710407404372 11420814808744