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10457423440 = 2453117923557
BaseRepresentation
bin10011011110100111…
…11001111001010000
3222222210111011010021
421233103321321100
5132404100022230
64445402513224
7520100426662
oct115723717120
928883434107
1010457423440
114486a41012
12203a205814
13ca86b6029
14712bd4532
15413115c7a
hex26f4f9e50

10457423440 has 80 divisors (see below), whose sum is σ = 25239098880. Its totient is φ = 4025249280.

The previous prime is 10457423419. The next prime is 10457423441. The reversal of 10457423440 is 4432475401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×104574234402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10457423396 and 10457423405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457423441) by changing a digit.

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, 432142 + ... + 455698.

It is an arithmetic number, because the mean of its divisors is an integer number (315488736).

Almost surely, 210457423440 is an apocalyptic number.

10457423440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12619549440).

10457423440 is an abundant number, since it is smaller than the sum of its proper divisors (14781675440).

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

10457423440 is a wasteful number, since it uses less digits than its factorization.

10457423440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23780 (or 23774 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 10457423440 its reverse (4432475401), we get a palindrome (14889898841).

The spelling of 10457423440 in words is "ten billion, four hundred fifty-seven million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 179 248 310 358 496 620 716 895 1240 1432 1790 2480 2864 3580 5549 7160 11098 14320 22196 23557 27745 44392 47114 55490 88784 94228 110980 117785 188456 221960 235570 376912 443920 471140 730267 942280 1460534 1884560 2921068 3651335 4216703 5842136 7302670 8433406 11684272 14605340 16866812 21083515 29210680 33733624 42167030 58421360 67467248 84334060 130717793 168668120 261435586 337336240 522871172 653588965 1045742344 1307177930 2091484688 2614355860 5228711720 10457423440