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10241405454 = 23723371012837
BaseRepresentation
bin10011000100110111…
…10111001000001110
3222102202000022011010
421202123313020032
5131433244433304
64412124510050
7511535336640
oct114233671016
928382008133
1010241405454
114386008555
121b999ab326
13c72a10c37
146d2242890
153ee195789
hex2626f720e

10241405454 has 128 divisors (see below), whose sum is σ = 25344202752. Its totient is φ = 2695334400.

The previous prime is 10241405453. The next prime is 10241405459. The reversal of 10241405454 is 45450414201.

10241405454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102414054542 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241405453) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3608524 + ... + 3611360.

It is an arithmetic number, because the mean of its divisors is an integer number (198001584).

Almost surely, 210241405454 is an apocalyptic number.

10241405454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241405454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672101376).

10241405454 is an abundant number, since it is smaller than the sum of its proper divisors (15102797298).

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

10241405454 is a wasteful number, since it uses less digits than its factorization.

10241405454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010.

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 10241405454 its reverse (45450414201), we get a palindrome (55691819655).

The spelling of 10241405454 in words is "ten billion, two hundred forty-one million, four hundred five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 101 111 138 161 202 222 259 303 322 483 518 606 707 777 851 966 1414 1554 1702 2121 2323 2553 2837 3737 4242 4646 5106 5674 5957 6969 7474 8511 11211 11914 13938 16261 17022 17871 19859 22422 26159 32522 35742 39718 48783 52318 59577 65251 78477 85951 97566 104969 119154 130502 156954 171902 195753 209938 257853 286537 314907 391506 456757 515706 573074 601657 629814 734783 859611 913514 1203314 1370271 1469566 1719222 1804971 2005759 2204349 2414287 2740542 3609942 4011518 4408698 4828574 6017277 6590351 7242861 10601869 12034554 13180702 14485722 16900009 19771053 21203738 31805607 33800018 39542106 46132457 50700027 63611214 74213083 92264914 101400054 138397371 148426166 222639249 243842987 276794742 445278498 487685974 731528961 1463057922 1706900909 3413801818 5120702727 10241405454