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454100402240 = 26529411111903
BaseRepresentation
bin1101001101110100111…
…11100100000001000000
31121102010001000120001022
412212322133210001000
524414444200332430
6544335535325012
744544013506152
oct6467237440100
91542101016038
10454100402240
11165645925331
1274011380768
1333a8aa54384
1417d9b300ad2
15bc2b2474e5
hex69ba7e4040

454100402240 has 112 divisors (see below), whose sum is σ = 1118979809280. Its totient is φ = 175319316480.

The previous prime is 454100402219. The next prime is 454100402243. The reversal of 454100402240 is 42204001454.

It is not an unprimeable number, because it can be changed into a prime (454100402243) 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 15 ways as a sum of consecutive naturals, for example, 38144129 + ... + 38156031.

Almost surely, 2454100402240 is an apocalyptic number.

454100402240 is a gapful number since it is divisible by the number (40) 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 454100402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559489904640).

454100402240 is an abundant number, since it is smaller than the sum of its proper divisors (664879407040).

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

454100402240 is a wasteful number, since it uses less digits than its factorization.

454100402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16060 (or 16050 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 454100402240 its reverse (42204001454), we get a palindrome (496304403694).

The spelling of 454100402240 in words is "four hundred fifty-four billion, one hundred million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4111 4640 8222 9280 11903 16444 20555 23806 32888 41110 47612 59515 65776 82220 95224 119030 119219 131552 164440 190448 238060 238438 263104 328880 345187 380896 476120 476876 596095 657760 690374 761792 952240 953752 1192190 1315520 1380748 1725935 1904480 1907504 2384380 2761496 3451870 3808960 3815008 4768760 5522992 6903740 7630016 9537520 11045984 13807480 19075040 22091968 27614960 38150080 48933233 55229920 97866466 110459840 195732932 244666165 391465864 489332330 782931728 978664660 1419063757 1565863456 1957329320 2838127514 3131726912 3914658640 5676255028 7095318785 7829317280 11352510056 14190637570 15658634560 22705020112 28381275140 45410040224 56762550280 90820080448 113525100560 227050201120 454100402240