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454740400242 = 23379251424687
BaseRepresentation
bin1101001111000001010…
…00111101100001110010
31121110202122021211021000
412213200220331201302
524422302020301432
6544523240542430
744565614424432
oct6474050754162
91543678254230
10454740400242
111659441122a7
127416b781a16
1333b6051590b
141801c2da2c2
15bc6751657c
hex69e0a3d872

454740400242 has 64 divisors (see below), whose sum is σ = 1027405209600. Its totient is φ = 149064786000.

The previous prime is 454740400241. The next prime is 454740400267. The reversal of 454740400242 is 242004047454.

454740400242 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 4 + 0 + 400 + 242 = 666.

It is a super-2 number, since 2×4547404002422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 454740400197 and 454740400206.

It is not an unprimeable number, because it can be changed into a prime (454740400241) 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 31 ways as a sum of consecutive naturals, for example, 858423 + ... + 1283109.

It is an arithmetic number, because the mean of its divisors is an integer number (16053206400).

Almost surely, 2454740400242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454740400242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513702604800).

454740400242 is an abundant number, since it is smaller than the sum of its proper divisors (572664809358).

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

454740400242 is a wasteful number, since it uses less digits than its factorization.

454740400242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425028 (or 425022 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

Adding to 454740400242 its reverse (242004047454), we get a palindrome (696744447696).

The spelling of 454740400242 in words is "four hundred fifty-four billion, seven hundred forty million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 251 474 502 711 753 1422 1506 2133 2259 4266 4518 6777 13554 19829 39658 59487 118974 178461 356922 424687 535383 849374 1070766 1274061 2548122 3822183 7644366 11466549 22933098 33550273 67100546 100650819 106596437 201301638 213192874 301952457 319789311 603904914 639578622 905857371 959367933 1811714742 1918735866 2878103799 5756207598 8421118523 16842237046 25263355569 50526711138 75790066707 151580133414 227370200121 454740400242