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11440222432110 = 2335711499398117
BaseRepresentation
bin1010011001111010001001…
…1001001110101101101110
31111111200012202211022022000
42212132202121032231232
52444414033420311420
640155322102033130
72260346243131263
oct246364231165556
944450182738260
1011440222432110
11371085335393a
1213492374187a6
1364ca67c24384
142b79d168726a
1514c8be375690
hexa67a264eb6e

11440222432110 has 128 divisors (see below), whose sum is σ = 30957655680000. Its totient is φ = 3005743950720.

The previous prime is 11440222432027. The next prime is 11440222432123. The reversal of 11440222432110 is 1123422204411.

11440222432110 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 222 + 432 + 1 + 1 + 0 = 666.

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

It is a congruent number.

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, 28536772 + ... + 28934888.

It is an arithmetic number, because the mean of its divisors is an integer number (241856685000).

Almost surely, 211440222432110 is an apocalyptic number.

11440222432110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11440222432110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478827840000).

11440222432110 is an abundant number, since it is smaller than the sum of its proper divisors (19517433247890).

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

11440222432110 is a wasteful number, since it uses less digits than its factorization.

11440222432110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399703 (or 399697 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11440222432110 its reverse (1123422204411), we get a palindrome (12563644636521).

The spelling of 11440222432110 in words is "eleven trillion, four hundred forty billion, two hundred twenty-two million, four hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 71 90 135 142 213 270 355 426 639 710 1065 1278 1499 1917 2130 2998 3195 3834 4497 6390 7495 8994 9585 13491 14990 19170 22485 26982 40473 44970 67455 80946 106429 134910 202365 212858 319287 398117 404730 532145 638574 796234 957861 1064290 1194351 1596435 1915722 1990585 2388702 2873583 3192870 3583053 3981170 4789305 5747166 5971755 7166106 9578610 10749159 11943510 14367915 17915265 21498318 28266307 28735830 35830530 53745795 56532614 84798921 107491590 141331535 169597842 254396763 282663070 423994605 508793526 596777383 763190289 847989210 1193554766 1271983815 1526380578 1790332149 2543967630 2983886915 3580664298 3815951445 5370996447 5967773830 7631902890 8951660745 10741992894 16112989341 17903321490 26854982235 32225978682 42371194193 53709964470 80564946705 84742388386 127113582579 161129893410 211855970965 254227165158 381340747737 423711941930 635567912895 762681495474 1144022243211 1271135825790 1906703738685 2288044486422 3813407477370 5720111216055 11440222432110