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412230110144040 = 233254724363481687
BaseRepresentation
bin101110110111010111100110…
…1010001111110011000101000
32000001120210222011011201000200
41131232233031101332120220
5413012434231144102130
64020423522004032200
7152554433263622346
oct13556571521763050
92001523864151020
10412230110144040
1110a3928983a5561
123a298b59992660
13149031953a7686
1473b2088224996
15329d0b7b07760
hex176ebcd47e628

412230110144040 has 96 divisors (see below), whose sum is σ = 1368253131598080. Its totient is φ = 107589135125376.

The previous prime is 412230110143997. The next prime is 412230110144053. The reversal of 412230110144040 is 40441011032214.

412230110144040 is a `hidden beast` number, since 4 + 1 + 2 + 230 + 1 + 10 + 14 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412230110143995 and 412230110144013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12181723924 + ... + 12181757763.

It is an arithmetic number, because the mean of its divisors is an integer number (14252636787480).

Almost surely, 2412230110144040 is an apocalyptic number.

412230110144040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412230110144040 is an abundant number, since it is smaller than the sum of its proper divisors (956023021454040).

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

412230110144040 is a wasteful number, since it uses less digits than its factorization.

412230110144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24363481751 (or 24363481744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 412230110144040 its reverse (40441011032214), we get a palindrome (452671121176254).

The spelling of 412230110144040 in words is "four hundred twelve trillion, two hundred thirty billion, one hundred ten million, one hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 24363481687 48726963374 73090445061 97453926748 121817408435 146180890122 194907853496 219271335183 243634816870 292361780244 365452225305 438542670366 487269633740 584723560488 730904450610 877085340732 974539267480 1096356675915 1145083639289 1461808901220 1754170681464 2192713351830 2290167278578 2923617802440 3435250917867 4385426703660 4580334557156 5725418196445 6870501835734 8770853407320 9160669114312 10305752753601 11450836392890 13741003671468 17176254589335 20611505507202 22901672785780 27482007342936 34352509178670 41223011014404 45803345571560 51528763768005 68705018357340 82446022028808 103057527536010 137410036714680 206115055072020 412230110144040