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44004024031140 = 2234542596377783
BaseRepresentation
bin10100000000101011111000…
…01110001001011110100100
312202210202002002112200020000
422000111330032021132210
521231430220122444030
6233331100343141300
712161120510542065
oct1200257416113644
9182722062480200
1044004024031140
1113026002423908
124b28336744830
131b7273bc79ac4
14ac1b4002656c
155149a40e7860
hex28057c3897a4

44004024031140 has 120 divisors (see below), whose sum is σ = 138074686706880. Its totient is φ = 11731649366592.

The previous prime is 44004024031109. The next prime is 44004024031147. The reversal of 44004024031140 is 4113042040044.

44004024031140 is a `hidden beast` number, since 4 + 400 + 4 + 0 + 240 + 3 + 1 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44004024031147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3710689 + ... + 10088471.

It is an arithmetic number, because the mean of its divisors is an integer number (1150622389224).

Almost surely, 244004024031140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44004024031140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69037343353440).

44004024031140 is an abundant number, since it is smaller than the sum of its proper divisors (94070662675740).

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

44004024031140 is a wasteful number, since it uses less digits than its factorization.

44004024031140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382063 (or 6382052 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44004024031140 its reverse (4113042040044), we get a palindrome (48117066071184).

The spelling of 44004024031140 in words is "forty-four trillion, four billion, twenty-four million, thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4259 8518 12777 17036 21295 25554 38331 42590 51108 63885 76662 85180 114993 127770 153324 191655 229986 255540 344979 383310 459972 574965 689958 766620 1149930 1379916 1724895 2299860 3449790 6377783 6899580 12755566 19133349 25511132 31888915 38266698 57400047 63777830 76533396 95666745 114800094 127555660 172200141 191333490 229600188 287000235 344400282 382666980 516600423 574000470 688800564 861000705 1033200846 1148000940 1722001410 2066401692 2583002115 3444002820 5166004230 10332008460 27162977797 54325955594 81488933391 108651911188 135814888985 162977866782 244466800173 271629777970 325955733564 407444666955 488933600346 543259555940 733400400519 814889333910 977867200692 1222334000865 1466800801038 1629778667820 2200201201557 2444668001730 2933601602076 3667002002595 4400402403114 4889336003460 7334004005190 8800804806228 11001006007785 14668008010380 22002012015570 44004024031140