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10240634030136 = 23323291314883357
BaseRepresentation
bin1001010100000101010101…
…0110101000100000111000
31100020222212101121112122220
42111001111112220200320
52320240304302431021
633440252103244040
72104601313013416
oct225012526504070
940228771545586
1010240634030136
113299034a34504
121194853749620
135938c29abcc3
14275913aa22b6
1512b5b088ecc6
hex950555a8838

10240634030136 has 128 divisors (see below), whose sum is σ = 27846860659200. Its totient is φ = 3128473187840.

The previous prime is 10240634030111. The next prime is 10240634030141. The reversal of 10240634030136 is 63103043604201.

It is a junction number, because it is equal to n+sod(n) for n = 10240634030097 and 10240634030106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344631 + ... + 4538726.

It is an arithmetic number, because the mean of its divisors is an integer number (217553598900).

Almost surely, 210240634030136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240634030136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923430329600).

10240634030136 is an abundant number, since it is smaller than the sum of its proper divisors (17606226629064).

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

10240634030136 is a wasteful number, since it uses less digits than its factorization.

10240634030136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4883549 (or 4883545 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 10240634030136 its reverse (63103043604201), we get a palindrome (73343677634337).

The spelling of 10240634030136 in words is "ten trillion, two hundred forty billion, six hundred thirty-four million, thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 131 138 174 184 232 262 276 348 393 524 552 667 696 786 1048 1334 1572 2001 2668 3013 3144 3799 4002 5336 6026 7598 8004 9039 11397 12052 15196 16008 18078 22794 24104 30392 36156 45588 72312 87377 91176 174754 262131 349508 524262 699016 1048524 2097048 4883357 9766714 14650071 19533428 29300142 39066856 58600284 112317211 117200568 141617353 224634422 283234706 336951633 424852059 449268844 566469412 639719767 673903266 849704118 898537688 1132938824 1279439534 1347806532 1699408236 1919159301 2558879068 2695613064 3257199119 3398816472 3838318602 5117758136 6514398238 7676637204 9771597357 13028796476 14713554641 15353274408 18551873243 19543194714 26057592952 29427109282 37103746486 39086389428 44140663923 55655619729 58854218564 74207492972 78172778856 88281327846 111311239458 117708437128 148414985944 176562655692 222622478916 353125311384 426693084589 445244957832 853386169178 1280079253767 1706772338356 2560158507534 3413544676712 5120317015068 10240634030136