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51420345255040 = 275154959538713
BaseRepresentation
bin10111011000100001110110…
…11010011100010010000000
320202001201220021100002202011
423230100323122130102000
523214432331341130130
6301210102553302304
713554666043040416
oct1354207332342200
9222051807302664
1051420345255040
1115425278409643
125925735704994
13228cbc13b8ca8
14c9aa87ccd2b6
155e2863ed852a
hex2ec43b69c480

51420345255040 has 128 divisors (see below), whose sum is σ = 123040904454000. Its totient is φ = 20549048205312.

The previous prime is 51420345254969. The next prime is 51420345255073. The reversal of 51420345255040 is 4055254302415.

It can be written as a sum of positive squares in 8 ways, for example, as 16019654031936 + 35400691223104 = 4002456^2 + 5949848^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×514203452550402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 51420345254984 and 51420345255002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5901561724 + ... + 5901570436.

Almost surely, 251420345255040 is an apocalyptic number.

It is an amenable number.

51420345255040 is an abundant number, since it is smaller than the sum of its proper divisors (71620559198960).

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

51420345255040 is a wasteful number, since it uses less digits than its factorization.

51420345255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16234 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 40.

Adding to 51420345255040 its reverse (4055254302415), we get a palindrome (55475599557455).

The spelling of 51420345255040 in words is "fifty-one trillion, four hundred twenty billion, three hundred forty-five million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1549 3098 5953 6196 7745 8713 11906 12392 15490 17426 23812 24784 29765 30980 34852 43565 47624 49568 59530 61960 69704 87130 95248 99136 119060 123920 139408 174260 190496 198272 238120 247840 278816 348520 380992 476240 495680 557632 697040 761984 952480 991360 1115264 1394080 1904960 2788160 3809920 5576320 9221197 13496437 18442394 26992874 36884788 46105985 51868489 53985748 67482185 73769576 92211970 103736978 107971496 134964370 147539152 184423940 207473956 215942992 259342445 269928740 295078304 368847880 414947912 431885984 518684890 539857480 590156608 737695760 829895824 863771968 1037369780 1079714960 1180313216 1475391520 1659791648 1727543936 2074739560 2159429920 2950783040 3319583296 4149479120 4318859840 5901566080 6639166592 8298958240 8637719680 16597916480 33195832960 80344289461 160688578922 321377157844 401721447305 642754315688 803442894610 1285508631376 1606885789220 2571017262752 3213771578440 5142034525504 6427543156880 10284069051008 12855086313760 25710172627520 51420345255040