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4010223114304 = 261117599559397
BaseRepresentation
bin111010010110110011111…
…011001001100001000000
3112012101002100021201100021
4322112303323021201000
51011200414104124204
612310134314503224
7562505032022101
oct72266373114100
915171070251307
104010223114304
1113067a9446770
1254925b734b14
13231215aa3cb4
14dc14ad803a8
156e4ad73b154
hex3a5b3ec9840

4010223114304 has 112 divisors (see below), whose sum is σ = 9207243561600. Its totient is φ = 1712736296960.

The previous prime is 4010223114281. The next prime is 4010223114323. The reversal of 4010223114304 is 4034113220104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6889134 + ... + 7448530.

It is an arithmetic number, because the mean of its divisors is an integer number (82207531800).

Almost surely, 24010223114304 is an apocalyptic number.

4010223114304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010223114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603621780800).

4010223114304 is an abundant number, since it is smaller than the sum of its proper divisors (5197020447296).

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

4010223114304 is a wasteful number, since it uses less digits than its factorization.

4010223114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560036 (or 560026 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4010223114304 its reverse (4034113220104), we get a palindrome (8044336334408).

The spelling of 4010223114304 in words is "four trillion, ten billion, two hundred twenty-three million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 599 704 748 1088 1198 1496 2396 2992 4792 5984 6589 9584 10183 11968 13178 19168 20366 26356 38336 40732 52712 81464 105424 112013 162928 210848 224026 325856 421696 448052 559397 651712 896104 1118794 1792208 2237588 3584416 4475176 6153367 7168832 8950352 9509749 12306734 17900704 19019498 24613468 35801408 38038996 49226936 76077992 98453872 104607239 152155984 196907744 209214478 304311968 335078803 393815488 418428956 608623936 670157606 836857912 1340315212 1673715824 2680630424 3347431648 3685866833 5361260848 5696339651 6694863296 7371733666 10722521696 11392679302 14743467332 21445043392 22785358604 29486934664 45570717208 58973869328 62659736161 91141434416 117947738656 125319472322 182282868832 235895477312 250638944644 364565737664 501277889288 1002555778576 2005111557152 4010223114304