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144571433680 = 2454214292501
BaseRepresentation
bin1000011010100100100…
…0010000001011010000
3111211011102122202211201
42012221020100023100
54332040241334210
6150225403320544
713305420624202
oct2065110201320
9454142582751
10144571433680
1156348894a03
1224028820154
131082c9b9a3b
146dd6810772
153b6222053a
hex21a92102d0

144571433680 has 40 divisors (see below), whose sum is σ = 336927066984. Its totient is φ = 57691200000.

The previous prime is 144571433653. The next prime is 144571433681. The reversal of 144571433680 is 86334175441.

It can be written as a sum of positive squares in 4 ways, for example, as 350737984 + 144220695696 = 18728^2 + 379764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 144571433680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144571433681) 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, 2112571 + ... + 2179930.

Almost surely, 2144571433680 is an apocalyptic number.

144571433680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144571433680 is an abundant number, since it is smaller than the sum of its proper divisors (192355633304).

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

144571433680 is a wasteful number, since it uses less digits than its factorization.

144571433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292935 (or 4292929 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 144571433680 in words is "one hundred forty-four billion, five hundred seventy-one million, four hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 421 842 1684 2105 3368 4210 6736 8420 16840 33680 4292501 8585002 17170004 21462505 34340008 42925010 68680016 85850020 171700040 343400080 1807142921 3614285842 7228571684 9035714605 14457143368 18071429210 28914286736 36142858420 72285716840 144571433680