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53420414304340 = 22517194324472371
BaseRepresentation
bin11000010010101111010001…
…10100011000000001010100
321000010221102112010000112201
430021113220310120001110
524000220002030214330
6305340555522254244
714152332444332416
oct1411275064300124
9230127375100481
1053420414304340
111602651a231166
125ba92987b7384
1323a66a6048225
14d297c19d49b6
156298c30a4eca
hex3095e8d18054

53420414304340 has 144 divisors (see below), whose sum is σ = 128008946963520. Its totient is φ = 18609638906880.

The previous prime is 53420414304329. The next prime is 53420414304407. The reversal of 53420414304340 is 4340341402435.

It is a super-2 number, since 2×534204143043402 (a number of 28 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 53420414304340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9708355 + ... + 14180725.

It is an arithmetic number, because the mean of its divisors is an integer number (888951020580).

Almost surely, 253420414304340 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 53420414304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64004473481760).

53420414304340 is an abundant number, since it is smaller than the sum of its proper divisors (74588532659180).

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

53420414304340 is a wasteful number, since it uses less digits than its factorization.

53420414304340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472502 (or 4472457 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 37.

Adding to 53420414304340 its reverse (4340341402435), we get a palindrome (57760755706775).

The spelling of 53420414304340 in words is "fifty-three trillion, four hundred twenty billion, four hundred fourteen million, three hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 43 68 76 85 86 95 170 172 190 215 323 340 380 430 646 731 817 860 1292 1462 1615 1634 1849 2924 3230 3268 3655 3698 4085 6460 7310 7396 8170 9245 13889 14620 16340 18490 27778 31433 35131 36980 55556 62866 69445 70262 125732 138890 140524 157165 175655 277780 314330 351310 597227 628660 702620 1194454 2388908 2986135 4472371 5972270 8944742 11944540 17889484 22361855 44723710 76030307 84975049 89447420 152060614 169950098 192311953 304121228 339900196 380151535 384623906 424875245 760303070 769247812 849750490 961559765 1444575833 1520606140 1699500980 1923119530 2889151666 3269303201 3653927107 3846239060 5778303332 6538606402 7222879165 7307854214 8269413979 13077212804 14445758330 14615708428 16346516005 16538827958 18269635535 28891516660 32693032010 33077655916 36539271070 41347069895 62116760819 65386064020 73078542140 82694139790 124233521638 140580037643 157118865601 165388279580 248467043276 281160075286 310583804095 314237731202 562320150572 621167608190 628475462404 702900188215 785594328005 1242335216380 1405800376430 1571188656010 2671020715217 2811600752860 3142377312020 5342041430434 10684082860868 13355103576085 26710207152170 53420414304340