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44164443114 = 232111014674729
BaseRepresentation
bin101001001000011001…
…111110101111101010
311012222220012011111100
4221020121332233222
51210422044134424
632142221142230
73122302400241
oct511031765752
9135886164440
1044164443114
1117803749870
1286866ba976
13421aa8bb9c
1421cd6c9958
1512373e0dc9
hexa4867ebea

44164443114 has 96 divisors (see below), whose sum is σ = 105670319040. Its totient is φ = 13219488000.

The previous prime is 44164443109. The next prime is 44164443121. The reversal of 44164443114 is 41134446144.

44164443114 is a `hidden beast` number, since 4 + 4 + 1 + 644 + 4 + 3 + 1 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9336702 + ... + 9341430.

It is an arithmetic number, because the mean of its divisors is an integer number (1100732490).

Almost surely, 244164443114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44164443114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835159520).

44164443114 is an abundant number, since it is smaller than the sum of its proper divisors (61505875926).

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

44164443114 is a wasteful number, since it uses less digits than its factorization.

44164443114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5313 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 44164443114 its reverse (41134446144), we get a palindrome (85298889258).

The spelling of 44164443114 in words is "forty-four billion, one hundred sixty-four million, four hundred forty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 303 467 606 909 934 1111 1401 1818 2222 2802 3333 4203 4729 5137 6666 8406 9458 9999 10274 14187 15411 19998 28374 30822 42561 46233 47167 52019 85122 92466 94334 104038 141501 156057 283002 312114 424503 468171 477629 518837 849006 936342 955258 1037674 1432887 1556511 2208443 2865774 3113022 4298661 4416886 4669533 5253919 6625329 8597322 9339066 10507838 13250658 15761757 19875987 24292873 31523514 39751974 47285271 48585746 72878619 94570542 145757238 218635857 223052743 437271714 446105486 669158229 1338316458 2007474687 2453580173 4014949374 4907160346 7360740519 14721481038 22082221557 44164443114