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44140177104144 = 24311431944158611
BaseRepresentation
bin10100000100101001011111…
…00100111001110100010000
312210021202111211120102012120
422002110233210321310100
521241143040314313034
6233513414544054240
712204010510553562
oct1202245744716420
9183252454512176
1044140177104144
1113078820274840
124b4a7b4004380
131b82529853c24
14ac8578789332
155182c222dc49
hex28252f939d10

44140177104144 has 80 divisors (see below), whose sum is σ = 127287952644864. Its totient is φ = 13064745859200.

The previous prime is 44140177104073. The next prime is 44140177104173.

44140177104144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44140177104096 and 44140177104105.

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, 972056602 + ... + 972102009.

Almost surely, 244140177104144 is an apocalyptic number.

44140177104144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44140177104144 is an abundant number, since it is smaller than the sum of its proper divisors (83147775540720).

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

44140177104144 is a wasteful number, since it uses less digits than its factorization.

44140177104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944158676 (or 1944158670 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 44140177104144 in words is "forty-four trillion, one hundred forty billion, one hundred seventy-seven million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 43 44 48 66 86 88 129 132 172 176 258 264 344 473 516 528 688 946 1032 1419 1892 2064 2838 3784 5676 7568 11352 22704 1944158611 3888317222 5832475833 7776634444 11664951666 15553268888 21385744721 23329903332 31106537776 42771489442 46659806664 64157234163 83598820273 85542978884 93319613328 128314468326 167197640546 171085957768 250796460819 256628936652 334395281092 342171915536 501592921638 513257873304 668790562184 919587023003 1003185843276 1026515746608 1337581124368 1839174046006 2006371686552 2758761069009 3678348092012 4012743373104 5517522138018 7356696184024 11035044276036 14713392368048 22070088552072 44140177104144