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44122234140 = 2235512597211
BaseRepresentation
bin101001000101111000…
…111101110100011100
311012212221202201200000
4221011320331310130
51210330242443030
632134112334300
73121250542065
oct510570756434
9135787681600
1044122234140
111779193a616
128674544390
134212100a6a
1421c7c5d56c
151233854860
hexa45e3dd1c

44122234140 has 144 divisors (see below), whose sum is σ = 138923890560. Its totient is φ = 11754953280.

The previous prime is 44122234073. The next prime is 44122234141. The reversal of 44122234140 is 4143222144.

44122234140 is a `hidden beast` number, since 4 + 412 + 2 + 234 + 14 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44122234141) 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 47 ways as a sum of consecutive naturals, for example, 6115135 + ... + 6122345.

It is an arithmetic number, because the mean of its divisors is an integer number (964749240).

Almost surely, 244122234140 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 44122234140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69461945280).

44122234140 is an abundant number, since it is smaller than the sum of its proper divisors (94801656420).

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

44122234140 is a wasteful number, since it uses less digits than its factorization.

44122234140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8480 counting only the distinct ones).

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

Adding to 44122234140 its reverse (4143222144), we get a palindrome (48265456284).

The spelling of 44122234140 in words is "forty-four billion, one hundred twenty-two million, two hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1259 1620 2430 2518 3777 4860 5036 6295 7211 7554 11331 12590 14422 15108 18885 21633 22662 25180 28844 33993 36055 37770 43266 45324 56655 64899 67986 72110 75540 86532 101979 108165 113310 129798 135972 144220 169965 194697 203958 216330 226620 259596 305937 324495 339930 389394 407916 432660 509895 584091 611874 648990 679860 778788 973485 1019790 1168182 1223748 1297980 1529685 1752273 1946970 2039580 2336364 2920455 3059370 3504546 3893940 5840910 6118740 7009092 8761365 9078649 11681820 17522730 18157298 27235947 35045460 36314596 45393245 54471894 81707841 90786490 108943788 136179735 163415682 181572980 245123523 272359470 326831364 408539205 490247046 544718940 735370569 817078410 980494092 1225617615 1470741138 1634156820 2206111707 2451235230 2941482276 3676852845 4412223414 4902470460 7353705690 8824446828 11030558535 14707411380 22061117070 44122234140