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144414230432 = 25231511299437
BaseRepresentation
bin1000011001111111000…
…0100100011110100000
3111210202110212000112012
42012133300210132200
54331230020333212
6150202030052052
713301501463533
oct2063760443640
9453673760465
10144414230432
115627808286a
1223ba404a028
1310806268274
146dbd9aca1a
153b5351b922
hex219fc247a0

144414230432 has 48 divisors (see below), whose sum is σ = 298642038912. Its totient is φ = 68610220800.

The previous prime is 144414230431. The next prime is 144414230437. The reversal of 144414230432 is 234032414441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144414230431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538583 + ... + 760854.

It is an arithmetic number, because the mean of its divisors is an integer number (6221709144).

Almost surely, 2144414230432 is an apocalyptic number.

It is an amenable number.

144414230432 is an abundant number, since it is smaller than the sum of its proper divisors (154227808480).

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

144414230432 is a wasteful number, since it uses less digits than its factorization.

144414230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299621 (or 1299613 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 144414230432 its reverse (234032414441), we get a palindrome (378446644873).

The spelling of 144414230432 in words is "one hundred forty-four billion, four hundred fourteen million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 151 184 302 368 604 736 1208 2416 3473 4832 6946 13892 27784 55568 111136 1299437 2598874 5197748 10395496 20790992 29887051 41581984 59774102 119548204 196214987 239096408 392429974 478192816 784859948 956385632 1569719896 3139439792 4512944701 6278879584 9025889402 18051778804 36103557608 72207115216 144414230432