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41442323100 = 223521922732029
BaseRepresentation
bin100110100110001001…
…111010101010011100
310221222012001010211120
4212212021322222130
51134333213314400
631012140450540
72664656635263
oct464611725234
9127865033746
1041442323100
1116637124802
128046b49a50
133ba5b2c099
142011d795da
15112843bca0
hex9a627aa9c

41442323100 has 144 divisors (see below), whose sum is σ = 126777302400. Its totient is φ = 10423192320.

The previous prime is 41442323093. The next prime is 41442323101. The reversal of 41442323100 is 132324414.

41442323100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414423231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442323101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1277886 + ... + 1309914.

Almost surely, 241442323100 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 41442323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63388651200).

41442323100 is an abundant number, since it is smaller than the sum of its proper divisors (85334979300).

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

41442323100 is a wasteful number, since it uses less digits than its factorization.

41442323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32292 (or 32285 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41442323100 its reverse (132324414), we get a palindrome (41574647514).

The spelling of 41442323100 in words is "forty-one billion, four hundred forty-two million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 227 228 285 300 380 454 475 570 681 908 950 1135 1140 1362 1425 1900 2270 2724 2850 3405 4313 4540 5675 5700 6810 8626 11350 12939 13620 17025 17252 21565 22700 25878 32029 34050 43130 51756 64058 64695 68100 86260 96087 107825 128116 129390 160145 192174 215650 258780 320290 323475 384348 431300 480435 608551 640580 646950 800725 960870 1217102 1293900 1601450 1825653 1921740 2402175 2434204 3042755 3202900 3651306 4804350 6085510 7270583 7302612 9128265 9608700 12171020 14541166 15213775 18256530 21811749 29082332 30427550 36352915 36513060 43623498 45641325 60855100 72705830 87246996 91282650 109058745 138141077 145411660 181764575 182565300 218117490 276282154 363529150 414423231 436234980 545293725 552564308 690705385 727058300 828846462 1090587450 1381410770 1657692924 2072116155 2181174900 2762821540 3453526925 4144232310 6907053850 8288464620 10360580775 13814107700 20721161550 41442323100