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10440203004231 = 3711133793961921
BaseRepresentation
bin1001011111101100110010…
…0101110110100101000111
31100222001222200211211202220
42113323030211312211013
52332023013432113411
634112055115103423
72125164651215220
oct227731445664507
940861880754686
1010440203004231
113365735469550
12120746aa41b73
135a9678915960
14281446824247
15131891072b06
hex97ecc976947

10440203004231 has 64 divisors (see below), whose sum is σ = 19195293121536. Its totient is φ = 4870985932800.

The previous prime is 10440203004223. The next prime is 10440203004289. The reversal of 10440203004231 is 13240030204401.

It is not a de Polignac number, because 10440203004231 - 23 = 10440203004223 is a prime.

It is a super-2 number, since 2×104402030042312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440203004131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46869850 + ... + 47092071.

It is an arithmetic number, because the mean of its divisors is an integer number (299926455024).

Almost surely, 210440203004231 is an apocalyptic number.

10440203004231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10440203004231 is a deficient number, since it is larger than the sum of its proper divisors (8755090117305).

10440203004231 is a wasteful number, since it uses less digits than its factorization.

10440203004231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93961992.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10440203004231 its reverse (13240030204401), we get a palindrome (23680233208632).

The spelling of 10440203004231 in words is "ten trillion, four hundred forty billion, two hundred three million, four thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 93961921 281885763 657733447 1033581131 1221504973 1973200341 3100743393 3476591077 3664514919 7235067917 8550534811 10429773231 13436554703 21705203751 24336137539 25651604433 38242501847 40309664109 45195684001 73008412617 94055882921 114727505541 135587052003 267697512929 282167648763 316369788007 497152524011 803092538787 949109364021 1491457572033 3480067668077 10440203004231