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44134017741 = 321119591392861
BaseRepresentation
bin101001000110100101…
…111010101011001101
311012220202221101201200
4221012211322223031
51210341302031431
632135213100113
73121452650442
oct510645725315
9135822841650
1044134017741
1117798558830
128678487639
1342146983c8
1421c96499c9
1512348d0ee6
hexa4697aacd

44134017741 has 96 divisors (see below), whose sum is σ = 75007296000. Its totient is φ = 24722755200.

The previous prime is 44134017677. The next prime is 44134017757. The reversal of 44134017741 is 14771043144.

44134017741 is a `hidden beast` number, since 441 + 3 + 4 + 0 + 177 + 41 = 666.

It is not a de Polignac number, because 44134017741 - 26 = 44134017677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44134017696 and 44134017705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44134017041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15424651 + ... + 15427511.

It is an arithmetic number, because the mean of its divisors is an integer number (781326000).

Almost surely, 244134017741 is an apocalyptic number.

It is an amenable number.

44134017741 is a deficient number, since it is larger than the sum of its proper divisors (30873278259).

44134017741 is a wasteful number, since it uses less digits than its factorization.

44134017741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 44134017741 in words is "forty-four billion, one hundred thirty-four million, seventeen thousand, seven hundred forty-one".

Divisors: 1 3 9 11 19 33 57 59 99 139 171 177 209 417 531 627 649 1121 1251 1529 1881 1947 2641 2861 3363 4587 5841 7923 8201 8583 10089 12331 13761 23769 24603 25749 29051 31471 36993 54359 73809 87153 90211 94413 110979 155819 163077 168799 261459 270633 283239 397679 467457 489231 506397 597949 811899 1193037 1402371 1519191 1714009 1793847 1856789 3207181 3579111 4374469 5142027 5381541 5570367 7555901 9621543 13123407 15426081 16711101 22667703 23463061 28864629 35278991 39370221 68003109 70389183 83114911 105836973 211167549 249344733 258093671 317510919 445798159 748034199 774281013 1337394477 2322843039 4012183431 4903779749 14711339247 44134017741