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412442422230440 = 235710722960115441
BaseRepresentation
bin101110111000111010011110…
…0000100010011110110101000
32000002100002222112211011221002
41131301310330010103312220
5413024424040042333230
64021105233312534132
7152605660465602110
oct13561647404236650
92002302875734832
10412442422230440
1110a464937aa7478
123a312130851348
131491a1cc3cb574
1473bc469562040
1532a3891de7545
hex1771d3c113da8

412442422230440 has 128 divisors (see below), whose sum is σ = 1075152657081600. Its totient is φ = 139475515576320.

The previous prime is 412442422230439. The next prime is 412442422230451. The reversal of 412442422230440 is 44032224244214.

It is a junction number, because it is equal to n+sod(n) for n = 412442422230394 and 412442422230403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23196881 + ... + 36918560.

It is an arithmetic number, because the mean of its divisors is an integer number (8399630133450).

Almost surely, 2412442422230440 is an apocalyptic number.

412442422230440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412442422230440 is an abundant number, since it is smaller than the sum of its proper divisors (662710234851160).

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

412442422230440 is a wasteful number, since it uses less digits than its factorization.

412442422230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60115795 (or 60115791 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 412442422230440 its reverse (44032224244214), we get a palindrome (456474646474654).

The spelling of 412442422230440 in words is "four hundred twelve trillion, four hundred forty-two billion, four hundred twenty-two million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 107 140 214 229 280 428 458 535 749 856 916 1070 1145 1498 1603 1832 2140 2290 2996 3206 3745 4280 4580 5992 6412 7490 8015 9160 12824 14980 16030 24503 29960 32060 49006 64120 98012 122515 171521 196024 245030 343042 490060 686084 857605 980120 1372168 1715210 3430420 6860840 60115441 120230882 240461764 300577205 420808087 480923528 601154410 841616174 1202308820 1683232348 2104040435 2404617640 3366464696 4208080870 6432352187 8416161740 12864704374 13766435989 16832323480 25729408748 27532871978 32161760935 45026465309 51458817496 55065743956 64323521870 68832179945 90052930618 96365051923 110131487912 128647043740 137664359890 180105861236 192730103846 225132326545 257294087480 275328719780 360211722472 385460207692 450264653090 481825259615 550657439560 770920415384 900529306180 963650519230 1473008650823 1801058612360 1927301038460 2946017301646 3854602076920 5892034603292 7365043254115 10311060555761 11784069206584 14730086508230 20622121111522 29460173016460 41244242223044 51555302778805 58920346032920 82488484446088 103110605557610 206221211115220 412442422230440