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10441412235520 = 28571676978061
BaseRepresentation
bin1001011111110001010010…
…1010101101000100000000
31100222012002222020011020221
42113330110222231010000
52332033003013014040
634112415113112424
72125236633421660
oct227742452550400
940865088204227
1010441412235520
1133661a5aaa952
1212077479b8714
135a980c2bcb26
1428151d2781a0
151319122d374a
hex97f14aad100

10441412235520 has 144 divisors (see below), whose sum is σ = 28754527995648. Its totient is φ = 3558475653120.

The previous prime is 10441412235517. The next prime is 10441412235557. The reversal of 10441412235520 is 2553221414401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992711 + ... + 4985350.

It is an arithmetic number, because the mean of its divisors is an integer number (199684222192).

Almost surely, 210441412235520 is an apocalyptic number.

10441412235520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441412235520 is an abundant number, since it is smaller than the sum of its proper divisors (18313115760128).

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

10441412235520 is an equidigital number, since it uses as much as digits as its factorization.

10441412235520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6978256 (or 6978242 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 10441412235520 its reverse (2553221414401), we get a palindrome (12994633649921).

The spelling of 10441412235520 in words is "ten trillion, four hundred forty-one billion, four hundred twelve million, two hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 167 224 256 280 320 334 448 560 640 668 835 896 1120 1169 1280 1336 1670 1792 2240 2338 2672 3340 4480 4676 5344 5845 6680 8960 9352 10688 11690 13360 18704 21376 23380 26720 37408 42752 46760 53440 74816 93520 106880 149632 187040 213760 299264 374080 748160 1496320 6978061 13956122 27912244 34890305 48846427 55824488 69780610 97692854 111648976 139561220 195385708 223297952 244232135 279122440 390771416 446595904 488464270 558244880 781542832 893191808 976928540 1116489760 1165336187 1563085664 1786383616 1953857080 2232979520 2330672374 3126171328 3907714160 4465959040 4661344748 5826680935 6252342656 7815428320 8157353309 8931918080 9322689496 11653361870 12504685312 15630856640 16314706618 18645378992 23306723740 31261713280 32629413236 37290757984 40786766545 46613447480 62523426560 65258826472 74581515968 81573533090 93226894960 130517652944 149163031936 163147066180 186453789920 261035305888 298326063872 326294132360 372907579840 522070611776 652588264720 745815159680 1044141223552 1305176529440 1491630319360 2088282447104 2610353058880 5220706117760 10441412235520