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440101321004130 = 2351913719329201149
BaseRepresentation
bin110010000010001010001001…
…0111001110101010001100010
32010201021021102202112102200220
41210010110102321311101202
5430141110001134113010
64200003431124023510
7161462162002225512
oct14404242271652142
92121237382472626
10440101321004130
11118258a1631a815
124143a701b31b96
1315b754b82053a6
147a970363b1842
1535d30a3023970
hex1904512e75462

440101321004130 has 128 divisors (see below), whose sum is σ = 1125753390432000. Its totient is φ = 109800054226944.

The previous prime is 440101321004119. The next prime is 440101321004153. The reversal of 440101321004130 is 31400123101044.

It is a super-2 number, since 2×4401013210041302 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 440101321004130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470796 + ... + 29671944.

It is an arithmetic number, because the mean of its divisors is an integer number (8794948362750).

Almost surely, 2440101321004130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440101321004130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562876695216000).

440101321004130 is an abundant number, since it is smaller than the sum of its proper divisors (685652069427870).

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

440101321004130 is a wasteful number, since it uses less digits than its factorization.

440101321004130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29201508.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 440101321004130 its reverse (31400123101044), we get a palindrome (471501444105174).

The spelling of 440101321004130 in words is "four hundred forty trillion, one hundred one billion, three hundred twenty-one million, four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 137 190 193 274 285 386 411 570 579 685 822 965 1158 1370 1930 2055 2603 2895 3667 4110 5206 5790 7334 7809 11001 13015 15618 18335 22002 26030 26441 36670 39045 52882 55005 78090 79323 110010 132205 158646 264410 396615 502379 793230 1004758 1507137 2511895 3014274 5023790 7535685 15071370 29201149 58402298 87603447 146005745 175206894 292011490 438017235 554821831 876034470 1109643662 1664465493 2774109155 3328930986 4000557413 5548218310 5635821757 8001114826 8322327465 11271643514 12001672239 16644654930 16907465271 20002787065 24003344478 28179108785 33814930542 40005574130 56358217570 60008361195 76010590847 84537326355 107080613383 120016722390 152021181694 169074652710 214161226766 228031772541 321241840149 380052954235 456063545082 535403066915 642483680298 760105908470 772107580709 1070806133830 1140158862705 1544215161418 1606209200745 2280317725410 2316322742127 3212418401490 3860537903545 4632645484254 7721075807090 11581613710635 14670044033471 23163227421270 29340088066942 44010132100413 73350220167355 88020264200826 146700440334710 220050660502065 440101321004130