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14124101152 = 257411679209
BaseRepresentation
bin11010010011101110…
…01010111000100000
31100110022222200100111
431021313022320200
5212411232214102
610253304301104
71010002610320
oct151167127040
940408880314
1014124101152
115a98761277
1228a2171794
131441240705
1497db7d280
15579e98cd7
hex349dcae20

14124101152 has 96 divisors (see below), whose sum is σ = 32752823040. Its totient is φ = 5869547520.

The previous prime is 14124101149. The next prime is 14124101153. The reversal of 14124101152 is 25110142141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14124101153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529124 + ... + 1538332.

It is an arithmetic number, because the mean of its divisors is an integer number (341175240).

Almost surely, 214124101152 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 14124101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16376411520).

14124101152 is an abundant number, since it is smaller than the sum of its proper divisors (18628721888).

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

14124101152 is a wasteful number, since it uses less digits than its factorization.

14124101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9426 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 14124101152 its reverse (25110142141), we get a palindrome (39234243293).

The spelling of 14124101152 in words is "fourteen billion, one hundred twenty-four million, one hundred one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 167 224 287 328 334 574 656 668 1148 1169 1312 1336 2296 2338 2672 4592 4676 5344 6847 9184 9209 9352 13694 18418 18704 27388 36836 37408 47929 54776 64463 73672 95858 109552 128926 147344 191716 219104 257852 294688 377569 383432 515704 755138 766864 1031408 1510276 1533728 1537903 2062816 2642983 3020552 3075806 5285966 6041104 6151612 10571932 10765321 12082208 12303224 21143864 21530642 24606448 42287728 43061284 49212896 63054023 84575456 86122568 126108046 172245136 252216092 344490272 441378161 504432184 882756322 1008864368 1765512644 2017728736 3531025288 7062050576 14124101152