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220011034134304 = 2571723791853747
BaseRepresentation
bin110010000001100101001111…
…100010010100011100100000
31001211222211221020202122221001
4302001211033202110130200
5212314130044214244204
62055531401311241344
764225162345050250
oct6201451742243440
91054884836678831
10220011034134304
1164114179102846
1220813742219254
13959bc4a58bc6a
143c4883b4b9960
151a67ed29a84a4
hexc8194f894720

220011034134304 has 144 divisors (see below), whose sum is σ = 540069175380672. Its totient is φ = 86345460559872.

The previous prime is 220011034134211. The next prime is 220011034134323. The reversal of 220011034134304 is 403431430110022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 43531642 + ... + 48322105.

It is an arithmetic number, because the mean of its divisors is an integer number (3750480384588).

Almost surely, 2220011034134304 is an apocalyptic number.

It is an amenable number.

220011034134304 is an abundant number, since it is smaller than the sum of its proper divisors (320058141246368).

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

220011034134304 is a wasteful number, since it uses less digits than its factorization.

220011034134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91853835 (or 91853810 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 220011034134304 its reverse (403431430110022), we get a palindrome (623442464244326).

The spelling of 220011034134304 in words is "two hundred twenty trillion, eleven billion, thirty-four million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 68 74 112 119 136 148 224 238 259 272 289 296 476 518 544 578 592 629 952 1036 1156 1184 1258 1904 2023 2072 2312 2516 3808 4046 4144 4403 4624 5032 8092 8288 8806 9248 10064 10693 16184 17612 20128 21386 32368 35224 42772 64736 70448 74851 85544 140896 149702 171088 299404 342176 598808 1197616 2395232 91853747 183707494 367414988 642976229 734829976 1285952458 1469659952 1561513699 2571904916 2939319904 3123027398 3398588639 5143809832 6246054796 6797177278 10287619664 10930595893 12492109592 13594354556 20575239328 21861191786 23790120473 24984219184 26545732883 27188709112 43722383572 47580240946 49968438368 53091465766 54377418224 57776006863 87444767144 95160481892 106182931532 108754836448 115552013726 174889534288 185820130181 190320963784 212365863064 231104027452 349779068576 371640260362 380641927568 404432048041 424731726128 462208054904 743280520724 761283855136 808864096082 849463452256 924416109808 982192116671 1486561041448 1617728192164 1848832219616 1964384233342 2973122082896 3235456384328 3928768466684 5946244165792 6470912768656 6875344816697 7857536933368 12941825537312 13750689633394 15715073866736 27501379266788 31430147733472 55002758533576 110005517067152 220011034134304