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3100441033040 = 2451329127809447
BaseRepresentation
bin101101000111100000101…
…011111011100101010000
3101222101210001210102021212
4231013200223323211100
5401244200401024130
610332153431235252
7436666550644151
oct55074053734520
911871701712255
103100441033040
11a9598715349a
12420a77518b28
131964a7819a30
14aa0c275d928
15559b2549e95
hex2d1e0afb950

3100441033040 has 160 divisors (see below), whose sum is σ = 8093961953280. Its totient is φ = 1096598587392.

The previous prime is 3100441033031. The next prime is 3100441033051. The reversal of 3100441033040 is 403301440013.

3100441033040 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 2×31004410330402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3100441032997 and 3100441033015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3425597 + ... + 4235043.

It is an arithmetic number, because the mean of its divisors is an integer number (50587262208).

Almost surely, 23100441033040 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 3100441033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046980976640).

3100441033040 is an abundant number, since it is smaller than the sum of its proper divisors (4993520920240).

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

3100441033040 is a wasteful number, since it uses less digits than its factorization.

3100441033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809629 (or 809623 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 3100441033040 its reverse (403301440013), we get a palindrome (3503742473053).

The spelling of 3100441033040 in words is "three trillion, one hundred billion, four hundred forty-one million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 127 130 145 208 232 254 260 290 377 464 508 520 580 635 754 1016 1040 1160 1270 1508 1651 1885 2032 2320 2540 3016 3302 3683 3770 5080 6032 6604 7366 7540 8255 10160 13208 14732 15080 16510 18415 26416 29464 30160 33020 36830 47879 58928 66040 73660 95758 132080 147320 191516 239395 294640 383032 478790 766064 809447 957580 1618894 1915160 3237788 3830320 4047235 6475576 8094470 10522811 12951152 16188940 21045622 23473963 32377880 42091244 46947926 52614055 64755760 84182488 93895852 102799769 105228110 117369815 168364976 187791704 205599538 210456220 234739630 305161519 375583408 411199076 420912440 469479260 513998845 610323038 822398152 841824880 938958520 1027997690 1220646076 1336396997 1525807595 1644796304 1877917040 2055995380 2441292152 2672793994 2981193301 3051615190 4111990760 4882584304 5345587988 5962386602 6103230380 6681984985 8223981520 10691175976 11924773204 12206460760 13363969970 14905966505 21382351952 23849546408 24412921520 26727939940 29811933010 38755512913 47699092816 53455879880 59623866020 77511025826 106911759760 119247732040 155022051652 193777564565 238495464080 310044103304 387555129130 620088206608 775110258260 1550220516520 3100441033040