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10440030311010 = 23251132833627391
BaseRepresentation
bin1001011111101100001001…
…0011000101001001100010
31100222001112122220010012200
42113323002103011021202
52332022140224423020
634112030025434030
72125160453311356
oct227730223051142
940861478803180
1010440030311010
113365656a37583
12120742103b916
135a964bbcc811
1428142b90d466
15131880d0e590
hex97ec24c5262

10440030311010 has 96 divisors (see below), whose sum is σ = 27481063753728. Its totient is φ = 2749619658240.

The previous prime is 10440030310991. The next prime is 10440030311047. The reversal of 10440030311010 is 1011303004401.

10440030311010 is a `hidden beast` number, since 104 + 400 + 30 + 31 + 101 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon 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, 1064415 + ... + 4691805.

It is an arithmetic number, because the mean of its divisors is an integer number (286261080768).

Almost surely, 210440030311010 is an apocalyptic number.

10440030311010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10440030311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740531876864).

10440030311010 is an abundant number, since it is smaller than the sum of its proper divisors (17041033442718).

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

10440030311010 is a wasteful number, since it uses less digits than its factorization.

10440030311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627800 (or 3627797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10440030311010 its reverse (1011303004401), we get a palindrome (11451333315411).

The spelling of 10440030311010 in words is "ten trillion, four hundred forty billion, thirty million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 283 339 565 566 678 849 1017 1130 1415 1695 1698 2034 2547 2830 3390 4245 5085 5094 8490 10170 12735 25470 31979 63958 95937 159895 191874 287811 319790 479685 575622 959370 1439055 2878110 3627391 7254782 10882173 18136955 21764346 32646519 36273910 54410865 65293038 108821730 163232595 326465190 409895183 819790366 1026551653 1229685549 2049475915 2053103306 2459371098 3079654959 3689056647 4098951830 5132758265 6148427745 6159309918 7378113294 9238964877 10265516530 12296855490 15398274795 18445283235 18477929754 30796549590 36890566470 46194824385 92389648770 116000336789 232000673578 348001010367 580001683945 696002020734 1044003031101 1160003367890 1740005051835 2088006062202 3480010103670 5220015155505 10440030311010