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4021443441090 = 234537379354043
BaseRepresentation
bin111010100001010000101…
…101010011000111000010
3112020110001022022101010000
4322201100231103013002
51011341404010103330
612315231533220430
7563353055152065
oct72412055230702
915213038271100
104021443441090
111310536a90309
1254b471331716
132322b3551a0a
14dc8d32048dc
156e9187ec560
hex3a850b531c2

4021443441090 has 160 divisors (see below), whose sum is σ = 11134797094080. Its totient is φ = 1040645563776.

The previous prime is 4021443441089. The next prime is 4021443441173. The reversal of 4021443441090 is 901443441204.

It is a happy number.

4021443441090 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 344 + 10 + 90 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11181609 + ... + 11535651.

It is an arithmetic number, because the mean of its divisors is an integer number (69592481838).

Almost surely, 24021443441090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021443441090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567398547040).

4021443441090 is an abundant number, since it is smaller than the sum of its proper divisors (7113353652990).

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

4021443441090 is a wasteful number, since it uses less digits than its factorization.

4021443441090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354478 (or 354469 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 4021443441090 its reverse (901443441204), we get a palindrome (4922886882294).

The spelling of 4021443441090 in words is "four trillion, twenty-one billion, four hundred forty-three million, four hundred forty-one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 270 333 370 379 405 555 666 758 810 999 1110 1137 1665 1895 1998 2274 2997 3330 3411 3790 4995 5685 5994 6822 9990 10233 11370 14023 14985 17055 20466 28046 29970 30699 34110 42069 51165 61398 70115 84138 102330 126207 140230 153495 210345 252414 306990 354043 378621 420690 631035 708086 757242 1062129 1135863 1262070 1770215 1893105 2124258 2271726 3186387 3540430 3786210 5310645 5679315 6372774 9559161 10621290 11358630 13099591 15931935 19118322 26199182 28677483 31863870 39298773 47795805 57354966 65497955 78597546 95591610 117896319 130995910 134182297 143387415 196493865 235792638 268364594 286774830 353688957 392987730 402546891 589481595 670911485 707377914 805093782 1061066871 1178963190 1207640673 1341822970 1768444785 2012734455 2122133742 2415281346 3536889570 3622922019 4025468910 4964744989 5305334355 6038203365 7245844038 9929489978 10610668710 10868766057 12076406730 14894234967 18114610095 21737532114 24823724945 29788469934 36229220190 44682704901 49647449890 54343830285 74471174835 89365409802 108687660570 134048114703 148942349670 223413524505 268096229406 402144344109 446827049010 670240573515 804288688218 1340481147030 2010721720545 4021443441090