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44495890434576 = 243272794112
BaseRepresentation
bin10100001111000000000011…
…01111100100101000010000
312211112202200002221212112100
422013200001233210220100
521313010040422401301
6234345044015200400
712241502434151100
oct1207400157445020
9184482602855470
1044495890434576
11131a5668165879
124ba7727816100
131ba9c37ca9c39
14adb880d27200
15522690b41286
hex287801be4a10

44495890434576 has 135 divisors (see below), whose sum is σ = 144859406255343. Its totient is φ = 12712951460160.

The previous prime is 44495890434557. The next prime is 44495890434581. The reversal of 44495890434576 is 67543409859444.

The square root of 44495890434576 is 6670524.

It is a perfect power (a square), and thus also a powerful number.

44495890434576 is a `hidden beast` number, since 4 + 4 + 4 + 9 + 5 + 8 + 9 + 0 + 43 + 4 + 576 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 560284311 + ... + 560363721.

Almost surely, 244495890434576 is an apocalyptic number.

44495890434576 is the 6670524-th square number.

It is an amenable number.

44495890434576 is an abundant number, since it is smaller than the sum of its proper divisors (100363515820767).

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

44495890434576 is an frugal number, since it uses more digits than its factorization.

44495890434576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158850 (or 79423 counting only the distinct ones).

The product of its (nonzero) digits is 2090188800, while the sum is 72.

The spelling of 44495890434576 in words is "forty-four trillion, four hundred ninety-five billion, eight hundred ninety million, four hundred thirty-four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 79411 158822 238233 317644 476466 555877 635288 714699 952932 1111754 1270576 1429398 1667631 1905864 2223508 2858796 3335262 3811728 3891139 4447016 5002893 5717592 6670524 7782278 8894032 10005786 11435184 11673417 13341048 15564556 20011572 23346834 26682096 31129112 35020251 40023144 46693668 62258224 70040502 80046288 93387336 140081004 186774672 280162008 560324016 6306106921 12612213842 18918320763 25224427684 37836641526 44142748447 50448855368 56754962289 75673283052 88285496894 100897710736 113509924578 132428245341 151346566104 176570993788 227019849156 264856490682 302693132208 308999239129 353141987576 397284736023 454039698312 529712981364 617998478258 706283975152 794569472046 908079396624 926997717387 1059425962728 1235996956516 1589138944092 1853995434774 2118851925456 2471993913032 2780993152161 3178277888184 3707990869548 4943987826064 5561986304322 6356555776368 7415981739096 11123972608644 14831963478192 22247945217288 44495890434576