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14402542013152 = 2519467376113487
BaseRepresentation
bin1101000110010101101001…
…1001101000101011100000
31212222212110220201222020121
43101211122121220223200
53341432401223410102
650344234135250024
73014356263121456
oct321453231505340
955885426658217
1014402542013152
1146530a15470a7
121747386219914
13806200111687
1437b13009a9d6
1519e99aa70b37
hexd195a668ae0

14402542013152 has 96 divisors (see below), whose sum is σ = 29921457646080. Its totient is φ = 6805333370880.

The previous prime is 14402542013147. The next prime is 14402542013179. The reversal of 14402542013152 is 25131024520441.

It is a congruent number.

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, 1067876553 + ... + 1067890039.

It is an arithmetic number, because the mean of its divisors is an integer number (311681850480).

Almost surely, 214402542013152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14402542013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14960728823040).

14402542013152 is an abundant number, since it is smaller than the sum of its proper divisors (15518915632928).

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

14402542013152 is a wasteful number, since it uses less digits than its factorization.

14402542013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17744 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 14402542013152 its reverse (25131024520441), we get a palindrome (39533566533593).

The spelling of 14402542013152 in words is "fourteen trillion, four hundred two billion, five hundred forty-two million, thirteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 467 608 934 1868 3736 3761 7472 7522 8873 13487 14944 15044 17746 26974 30088 35492 53948 60176 70984 71459 107896 120352 141968 142918 215792 256253 283936 285836 431584 512506 571672 1025012 1143344 1756387 2050024 2286688 3512774 4100048 6298429 7025548 8200096 12596858 14051096 25193716 28102192 33371353 50387432 50724607 56204384 66742706 100774864 101449214 119670151 133485412 201549728 202898428 239340302 266970824 405796856 478680604 533941648 811593712 957361208 963767533 1067883296 1623187424 1914722416 1927535066 3829444832 3855070132 7710140264 15420280528 23688391469 30840561056 47376782938 94753565876 189507131752 379014263504 450079437911 758028527008 900158875822 1800317751644 3600635503288 7201271006576 14402542013152