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344231221104 = 24325999674127
BaseRepresentation
bin1010000001001011100…
…01111001011101110000
31012220112001202212102100
411000211301321131300
521114441143033404
6422045421420400
733604241046621
oct5004561713560
91186461685370
10344231221104
11122a95606391
125686a40a700
13265cb69b8a4
1412937651a48
158e4a890d39
hex5025c79770

344231221104 has 120 divisors (see below), whose sum is σ = 966209587200. Its totient is φ = 114405992064.

The previous prime is 344231221093. The next prime is 344231221151. The reversal of 344231221104 is 401122132443.

344231221104 is a `hidden beast` number, since 3 + 4 + 423 + 1 + 221 + 10 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83407489 + ... + 83411615.

It is an arithmetic number, because the mean of its divisors is an integer number (8051746560).

Almost surely, 2344231221104 is an apocalyptic number.

It is an amenable number.

344231221104 is an abundant number, since it is smaller than the sum of its proper divisors (621978366096).

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

344231221104 is a wasteful number, since it uses less digits than its factorization.

344231221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 344231221104 its reverse (401122132443), we get a palindrome (745353353547).

The spelling of 344231221104 in words is "three hundred forty-four billion, two hundred thirty-one million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 599 967 1198 1797 1934 2396 2901 3594 3868 4127 4792 5391 5802 7188 7736 8254 8703 9584 10782 11604 12381 14376 15472 16508 17406 21564 23208 24762 28752 33016 34812 37143 43128 46416 49524 66032 69624 74286 86256 99048 139248 148572 198096 297144 579233 594288 1158466 1737699 2316932 2472073 3475398 3990809 4633864 4944146 5213097 6950796 7416219 7981618 9267728 9888292 10426194 11972427 13901592 14832438 15963236 19776584 20852388 22248657 23944854 27803184 29664876 31926472 35917281 39553168 41704776 44497314 47889708 59329752 63852944 71834562 83409552 88994628 95779416 118659504 143669124 177989256 191558832 287338248 355978512 574676496 2390494591 4780989182 7171483773 9561978364 14342967546 19123956728 21514451319 28685935092 38247913456 43028902638 57371870184 86057805276 114743740368 172115610552 344231221104