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10341134463424 = 2623139354714249
BaseRepresentation
bin1001011001111011101110…
…1001010111000111000000
31100121121021102220112022211
42112132323221113013000
52323412120410312144
633554352424311504
72115056644422202
oct226367351270700
940547242815284
1010341134463424
1133277178a2536
1211b0221012594
135a021b095acb
1427a72938c772
1512dee39cb034
hex967bba571c0

10341134463424 has 112 divisors (see below), whose sum is σ = 21574536480000. Its totient is φ = 4908450134016.

The previous prime is 10341134463419. The next prime is 10341134463481. The reversal of 10341134463424 is 42436443114301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725737452 + ... + 725751700.

It is an arithmetic number, because the mean of its divisors is an integer number (192629790000).

Almost surely, 210341134463424 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 10341134463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10787268240000).

10341134463424 is an abundant number, since it is smaller than the sum of its proper divisors (11233402016576).

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

10341134463424 is a wasteful number, since it uses less digits than its factorization.

10341134463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17970 (or 17960 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 10341134463424 its reverse (42436443114301), we get a palindrome (52777577577725).

The spelling of 10341134463424 in words is "ten trillion, three hundred forty-one billion, one hundred thirty-four million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 139 184 278 368 556 736 1112 1472 2224 3197 3547 4448 6394 7094 8896 12788 14188 14249 25576 28376 28498 51152 56752 56996 81581 102304 113504 113992 163162 204608 227008 227984 326324 327727 455968 493033 652648 655454 911936 986066 1305296 1310908 1972132 1980611 2610592 2621816 3944264 3961222 5221184 5243632 7888528 7922444 10487264 11339759 15777056 15844888 20974528 22679518 31554112 31689776 45359036 45554053 50541203 63379552 90718072 91108106 101082406 126759104 181436144 182216212 202164812 362872288 364432424 404329624 725744576 728864848 808659248 1162447669 1457729696 1617318496 2324895338 2915459392 3234636992 4649790676 7025227217 9299581352 14050454434 18599162704 28100908868 37198325408 56201817736 74396650816 112403635472 161580225991 224807270944 323160451982 449614541888 646320903964 1292641807928 2585283615856 5170567231712 10341134463424