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544442144031 = 34131339115131
BaseRepresentation
bin1111110110000110100…
…01111101010100011111
31221001022002221112210000
413323003101331110133
532410004142102111
61054040244345343
754222532603362
oct7730321752437
91831262845700
10544442144031
1119a995440055
12896246a5253
133c4575caa16
141c4cb75a0d9
15e2675cac56
hex7ec347d51f

544442144031 has 40 divisors (see below), whose sum is σ = 819806727168. Its totient is φ = 360060714000.

The previous prime is 544442144009. The next prime is 544442144083. The reversal of 544442144031 is 130441244445.

544442144031 is a `hidden beast` number, since 5 + 44 + 442 + 144 + 0 + 31 = 666.

It is not a de Polignac number, because 544442144031 - 26 = 544442143967 is a prime.

It is a super-2 number, since 2×5444421440312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (544442145031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35974336 + ... + 35989466.

Almost surely, 2544442144031 is an apocalyptic number.

544442144031 is a deficient number, since it is larger than the sum of its proper divisors (275364583137).

544442144031 is a wasteful number, since it uses less digits than its factorization.

544442144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18665 (or 18656 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 544442144031 its reverse (130441244445), we get a palindrome (674883388476).

The spelling of 544442144031 in words is "five hundred forty-four billion, four hundred forty-two million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 27 81 131 393 1179 3391 3537 10173 10611 15131 30519 45393 91557 136179 274671 408537 444221 1225611 1332663 1982161 3997989 5946483 11993967 17839449 35981901 51309221 53518347 153927663 160555041 461782989 1385348967 4156046901 6721507951 20164523853 60493571559 181480714677 544442144031