Search a number
-
+
144100324024032 = 2532334236430579
BaseRepresentation
bin100000110000111011111000…
…101000000001111011100000
3200220012212010100021201012010
4200300323320220001323200
5122341414430422232112
61230250435221032520
742231622235316165
oct4060737050017340
9626185110251163
10144100324024032
1141a07671250a72
12141b3736b55740
1362537aa1a855c
1427826c871606c
15119d5a7d8863c
hex830ef8a01ee0

144100324024032 has 48 divisors (see below), whose sum is σ = 378265029891840. Its totient is φ = 48033228093312.

The previous prime is 144100324024021. The next prime is 144100324024067. The reversal of 144100324024032 is 230420423001441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19193319 + ... + 25623897.

It is an arithmetic number, because the mean of its divisors is an integer number (7880521456080).

Almost surely, 2144100324024032 is an apocalyptic number.

144100324024032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144100324024032 is an abundant number, since it is smaller than the sum of its proper divisors (234164705867808).

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

144100324024032 is a wasteful number, since it uses less digits than its factorization.

144100324024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664015 (or 6664007 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144100324024032 its reverse (230420423001441), we get a palindrome (374520747025473).

The spelling of 144100324024032 in words is "one hundred forty-four trillion, one hundred billion, three hundred twenty-four million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 233423 466846 700269 933692 1400538 1867384 2801076 3734768 5602152 6430579 7469536 11204304 12861158 19291737 22408608 25722316 38583474 51444632 77166948 102889264 154333896 205778528 308667792 617335584 1501045041917 3002090083834 4503135125751 6004180167668 9006270251502 12008360335336 18012540503004 24016720670672 36025081006008 48033441341344 72050162012016 144100324024032