Search a number
-
+
144331031034312 = 23320627291549569
BaseRepresentation
bin100000110100010010101111…
…110101011011100111001000
3200221000220121201020010211120
4200310102233311123213020
5122404204422421044222
61230544432120555240
742254400332461413
oct4064225765334710
9627026551203746
10144331031034312
1141a964a0353511
12142303a2322b20
13626c4861b49a5
14278d932ac2b7a
1511a45ac04115c
hex8344afd5b9c8

144331031034312 has 32 divisors (see below), whose sum is σ = 360845071797600. Its totient is φ = 48108011116544.

The previous prime is 144331031034251. The next prime is 144331031034313. The reversal of 144331031034312 is 213430130133441.

144331031034312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144331031034313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145279737 + ... + 146269832.

It is an arithmetic number, because the mean of its divisors is an integer number (11276408493675).

Almost surely, 2144331031034312 is an apocalyptic number.

144331031034312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144331031034312 is an abundant number, since it is smaller than the sum of its proper divisors (216514040763288).

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

144331031034312 is a wasteful number, since it uses less digits than its factorization.

144331031034312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291570205 (or 291570201 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 144331031034312 its reverse (213430130133441), we get a palindrome (357761161167753).

The spelling of 144331031034312 in words is "one hundred forty-four trillion, three hundred thirty-one billion, thirty-one million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 20627 41254 61881 82508 123762 165016 247524 495048 291549569 583099138 874648707 1166198276 1749297414 2332396552 3498594828 6997189656 6013792959763 12027585919526 18041378879289 24055171839052 36082757758578 48110343678104 72165515517156 144331031034312