Search a number
-
+
144320587269204 = 223131151607993307
BaseRepresentation
bin100000110100001001000001…
…010101101000010001010100
3200220222220122212102220102110
4200310021001111220101110
5122404022030320103304
61230535543522511020
742253550456105553
oct4064110125502124
9626886585386373
10144320587269204
1141a920210a1185
121422a368805470
13626b4b05a1718
14278d221a45d9a
1511a419a227289
hex834241568454

144320587269204 has 48 divisors (see below), whose sum is σ = 341565776487936. Its totient is φ = 47423477868000.

The previous prime is 144320587269181. The next prime is 144320587269211. The reversal of 144320587269204 is 402962785023441.

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, 303759282 + ... + 304234025.

It is an arithmetic number, because the mean of its divisors is an integer number (7115953676832).

It is a 1-persistent number, because it is pandigital, but 2⋅144320587269204 = 288641174538408 is not.

Almost surely, 2144320587269204 is an apocalyptic number.

It is an amenable number.

144320587269204 is an abundant number, since it is smaller than the sum of its proper divisors (197245189218732).

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

144320587269204 is a wasteful number, since it uses less digits than its factorization.

144320587269204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607993596 (or 607993594 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 144320587269204 in words is "one hundred forty-four trillion, three hundred twenty billion, five hundred eighty-seven million, two hundred sixty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 12 131 151 262 302 393 453 524 604 786 906 1572 1812 19781 39562 59343 79124 118686 237372 607993307 1215986614 1823979921 2431973228 3647959842 7295919684 79647123217 91806989357 159294246434 183613978714 238941369651 275420968071 318588492868 367227957428 477882739302 550841936142 955765478604 1101683872284 12026715605767 24053431211534 36080146817301 48106862423068 72160293634602 144320587269204