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523431650413140 = 223572283629109457
BaseRepresentation
bin111011100000011101110110…
…1100101100100101001010100
32112122022120120200201101002220
41313000323231211210221110
51022101401010001210030
65053125103001502340
7215152455152301600
oct16700735545445124
92478276520641086
10523431650413140
11141866130906807
124a8586887a19b0
131960b5150b4c61
149338327076500
15407a9d2356a10
hex1dc0eed964a54

523431650413140 has 144 divisors (see below), whose sum is σ = 1710916016225472. Its totient is φ = 119218758349824.

The previous prime is 523431650413099. The next prime is 523431650413247. The reversal of 523431650413140 is 41314056134325.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 523431650413092 and 523431650413101.

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, 313722709 + ... + 315386748.

It is an arithmetic number, because the mean of its divisors is an integer number (11881361223788).

Almost surely, 2523431650413140 is an apocalyptic number.

It is an amenable number.

523431650413140 is an abundant number, since it is smaller than the sum of its proper divisors (1187484365812332).

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

523431650413140 is a wasteful number, since it uses less digits than its factorization.

523431650413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629109766 (or 629109757 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 523431650413140 in words is "five hundred twenty-three trillion, four hundred thirty-one billion, six hundred fifty million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 283 294 420 490 566 588 735 849 980 1132 1415 1470 1698 1981 2830 2940 3396 3962 4245 5660 5943 7924 8490 9905 11886 13867 16980 19810 23772 27734 29715 39620 41601 55468 59430 69335 83202 118860 138670 166404 208005 277340 416010 832020 629109457 1258218914 1887328371 2516437828 3145547285 3774656742 4403766199 6291094570 7549313484 8807532398 9436641855 12582189140 13211298597 17615064796 18873283710 22018830995 26422597194 30826363393 37746567420 44037661990 52845194388 61652726786 66056492985 88075323980 92479090179 123305453572 132112985970 154131816965 178037976331 184958180358 264225971940 308263633930 356075952662 369916360716 462395450895 534113928993 616527267860 712151905324 890189881655 924790901790 1068227857986 1246265834317 1780379763310 1849581803580 2136455715972 2492531668634 2670569644965 3560759526620 3738797502951 4985063337268 5341139289930 6231329171585 7477595005902 8723860840219 10682278579860 12462658343170 14955190011804 17447721680438 18693987514755 24925316686340 26171582520657 34895443360876 37387975029510 43619304201095 52343165041314 74775950059020 87238608402190 104686330082628 130857912603285 174477216804380 261715825206570 523431650413140