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144901027131 = 3721951880067
BaseRepresentation
bin1000011011110011000…
…1100011010100111011
3111212000101211212001120
42012330301203110323
54333224130332011
6150322215520323
713316532260100
oct2067461432473
9455011755046
10144901027131
11564a7941393
12240bb0890a3
1310883079753
1470284c8aa7
153b81127a06
hex21bcc6353b

144901027131 has 24 divisors (see below), whose sum is σ = 236573110080. Its totient is φ = 78442659792.

The previous prime is 144901027123. The next prime is 144901027151. The reversal of 144901027131 is 131720109441.

It is not a de Polignac number, because 144901027131 - 23 = 144901027123 is a prime.

It is a super-4 number, since 4×1449010271314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 144901027092 and 144901027101.

It is not an unprimeable number, because it can be changed into a prime (144901027151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25937241 + ... + 25942826.

It is an arithmetic number, because the mean of its divisors is an integer number (9857212920).

Almost surely, 2144901027131 is an apocalyptic number.

144901027131 is a deficient number, since it is larger than the sum of its proper divisors (91672082949).

144901027131 is a wasteful number, since it uses less digits than its factorization.

144901027131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51880103 (or 51880096 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 144901027131 in words is "one hundred forty-four billion, nine hundred one million, twenty-seven thousand, one hundred thirty-one".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 51880067 155640201 363160469 985721273 1089481407 2542123283 2957163819 6900048911 7626369849 20700146733 48300342377 144901027131