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310140441130014 = 2321119242307102559
BaseRepresentation
bin100011010000100100011001…
…0110100101111010000011110
31111200010010200120221110001100
41012201020302310233100132
5311122320110412130024
63015340315102053530
7122216623152061125
oct10641106264572036
91450103616843040
10310140441130014
118a902905745140
122a94b36627a2a6
131040916c6348b1
145682c3d9c2abc
1525cc6e80ad7c9
hex11a1232d2f41e

310140441130014 has 144 divisors (see below), whose sum is σ = 773697754851840. Its totient is φ = 89032560708960.

The previous prime is 310140441129991. The next prime is 310140441130063. The reversal of 310140441130014 is 410031144041013.

310140441130014 is a `hidden beast` number, since 310 + 1 + 4 + 0 + 4 + 41 + 1 + 300 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 310140441130014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3023968467 + ... + 3024071025.

It is an arithmetic number, because the mean of its divisors is an integer number (5372901075360).

Almost surely, 2310140441130014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310140441130014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386848877425920).

310140441130014 is an abundant number, since it is smaller than the sum of its proper divisors (463557313721826).

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

310140441130014 is a wasteful number, since it uses less digits than its factorization.

310140441130014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144923 (or 144901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 310140441130014 its reverse (410031144041013), we get a palindrome (720171585171027).

The spelling of 310140441130014 in words is "three hundred ten trillion, one hundred forty billion, four hundred forty-one million, one hundred thirty thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 361 418 627 722 1083 1254 1881 2166 3249 3762 3971 6498 7942 11913 23826 35739 42307 71478 84614 102559 126921 205118 253842 307677 380763 465377 615354 761526 803833 923031 930754 1128149 1396131 1607666 1846062 1948621 2256298 2411499 2792262 3384447 3897242 4188393 4822998 5845863 6768894 7234497 8376786 8842163 10153341 11691726 14468994 15272827 17537589 17684326 20306682 21434831 26526489 30545654 35075178 37023799 42869662 45818481 53052978 64304493 74047598 79579467 91636962 111071397 128608986 137455443 159158934 168001097 192913479 222142794 274910886 333214191 336002194 385826958 407261789 504003291 666428382 814523578 1008006582 1221785367 1512009873 2443570734 3024019746 3665356101 4338963613 7330712202 8677927226 13016890839 26033781678 39050672517 47728599743 78101345034 82440308647 95457199486 143185799229 164880617294 247320925941 286371598458 429557397687 494641851882 741962777823 859114795374 906843395117 1483925555646 1566365864293 1813686790234 2720530185351 3132731728586 4699097592879 5441060370702 8161590556053 9398195185758 14097292778637 16323181112106 17230024507223 28194585557274 34460049014446 51690073521669 103380147043338 155070220565007 310140441130014