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454402231504 = 241337449131501
BaseRepresentation
bin1101001110011000111…
…10111100110011010000
31121102220001222001221221
412213030132330303100
524421103432402004
6544425520454424
744554340144644
oct6471436746320
91542801861857
10454402231504
11165790239101
127409647a414
1333b08442980
1417dc942cc24
15bc479b8354
hex69cc7bccd0

454402231504 has 80 divisors (see below), whose sum is σ = 975928942800. Its totient is φ = 203599872000.

The previous prime is 454402231487. The next prime is 454402231567. The reversal of 454402231504 is 405132204454.

It can be written as a sum of positive squares in 8 ways, for example, as 33616489104 + 420785742400 = 183348^2 + 648680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 454402231504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389754 + ... + 3521254.

It is an arithmetic number, because the mean of its divisors is an integer number (12199111785).

Almost surely, 2454402231504 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 454402231504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487964471400).

454402231504 is an abundant number, since it is smaller than the sum of its proper divisors (521526711296).

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

454402231504 is a wasteful number, since it uses less digits than its factorization.

454402231504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132008 (or 132002 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 454402231504 its reverse (405132204454), we get a palindrome (859534435958).

The spelling of 454402231504 in words is "four hundred fifty-four billion, four hundred two million, two hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 449 481 592 898 962 1796 1924 3592 3848 5837 7184 7696 11674 16613 23348 33226 46696 66452 93392 131501 132904 215969 263002 265808 431938 526004 863876 1052008 1709513 1727752 2104016 3419026 3455504 4865537 6838052 9731074 13676104 19462148 27352208 38924296 59043949 63251981 77848592 118087898 126503962 236175796 253007924 472351592 506015848 767571337 944703184 1012031696 1535142674 2184626113 3070285348 4369252226 6140570696 8738504452 12281141392 17477008904 28400139469 34954017808 56800278938 113600557876 227201115752 454402231504