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44141342040 = 2334566120611
BaseRepresentation
bin101001000111000001…
…110110110101011000
311012221021201111210000
4221013001312311120
51210400140421130
632140034053000
73121602134205
oct510701666530
9135837644700
1044141342040
11177a1700674
12867aa1a160
134216061103
1421ca5d4cac
15123537b260
hexa47076d58

44141342040 has 160 divisors (see below), whose sum is σ = 148595618160. Its totient is φ = 11752646400.

The previous prime is 44141342039. The next prime is 44141342071. The reversal of 44141342040 is 4024314144.

44141342040 is a `hidden beast` number, since 4 + 41 + 413 + 4 + 204 + 0 = 666.

It is a super-4 number, since 4×441413420404 (a number of 44 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44141341995 and 44141342013.

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 39 ways as a sum of consecutive naturals, for example, 2131335 + ... + 2151945.

Almost surely, 244141342040 is an apocalyptic number.

44141342040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44141342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74297809080).

44141342040 is an abundant number, since it is smaller than the sum of its proper divisors (104454276120).

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

44141342040 is a wasteful number, since it uses less digits than its factorization.

44141342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21295 (or 21282 counting only the distinct ones).

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

Adding to 44141342040 its reverse (4024314144), we get a palindrome (48165656184).

The spelling of 44141342040 in words is "forty-four billion, one hundred forty-one million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 661 810 1080 1322 1620 1983 2644 3240 3305 3966 5288 5949 6610 7932 9915 11898 13220 15864 17847 19830 20611 23796 26440 29745 35694 39660 41222 47592 53541 59490 61833 71388 79320 82444 89235 103055 107082 118980 123666 142776 164888 178470 185499 206110 214164 237960 247332 267705 309165 356940 370998 412220 428328 494664 535410 556497 618330 713880 741996 824440 927495 1070820 1112994 1236660 1483992 1669491 1854990 2141640 2225988 2473320 2782485 3338982 3709980 4451976 5564970 6677964 7419960 8347455 11129940 13355928 13623871 16694910 22259880 27247742 33389820 40871613 54495484 66779640 68119355 81743226 108990968 122614839 136238710 163486452 204358065 245229678 272477420 326972904 367844517 408716130 490459356 544954840 613074195 735689034 817432260 980918712 1103533551 1226148390 1471378068 1634864520 1839222585 2207067102 2452296780 2942756136 3678445170 4414134204 4904593560 5517667755 7356890340 8828268408 11035335510 14713780680 22070671020 44141342040