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44021112423444 = 223213587160242259
BaseRepresentation
bin10100000001001011101101…
…10001001100010000010100
312202212101012000100221120200
422000211312301030100110
521232220214240022234
6233343004142500500
712162264126511602
oct1200456661142024
9182771160327520
1044021112423444
1113032281375982
124b2b705594730
131b7423337b440
14ac28c1754872
1551515442ed99
hex280976c4c414

44021112423444 has 72 divisors (see below), whose sum is σ = 120039399873120. Its totient is φ = 13521882699072.

The previous prime is 44021112423433. The next prime is 44021112423479. The reversal of 44021112423444 is 44432421112044.

44021112423444 is a `hidden beast` number, since 4 + 4 + 0 + 211 + 12 + 423 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×440211124234442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44021112423399 and 44021112423408.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 79846414 + ... + 80395845.

Almost surely, 244021112423444 is an apocalyptic number.

It is an amenable number.

44021112423444 is an abundant number, since it is smaller than the sum of its proper divisors (76018287449676).

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

44021112423444 is a wasteful number, since it uses less digits than its factorization.

44021112423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160242869 (or 160242864 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 44021112423444 its reverse (44432421112044), we get a palindrome (88453533535488).

The spelling of 44021112423444 in words is "forty-four trillion, twenty-one billion, one hundred twelve million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 587 1174 1761 2348 3522 5283 7044 7631 10566 15262 21132 22893 30524 45786 68679 91572 137358 274716 160242259 320484518 480726777 640969036 961453554 1442180331 1922907108 2083149367 2884360662 4166298734 5768721324 6249448101 8332597468 12498896202 18748344303 24997792404 37496688606 74993377212 94062206033 188124412066 282186618099 376248824132 564373236198 846559854297 1128746472396 1222808678429 1693119708594 2445617356858 3386239417188 3668426035287 4891234713716 7336852070574 11005278105861 14673704141148 22010556211722 44021112423444