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454135530440 = 235311069342599
BaseRepresentation
bin1101001101111001001…
…01100100001111001000
31121102012111010020212202
412212330211210033020
524420032143433230
6544343232255332
744544621213554
oct6467445441710
91542174106782
10454135530440
111656637386a9
12740210a1548
1333a951035a7
1417da1c46864
15bc2e385a45
hex69bc9643c8

454135530440 has 64 divisors (see below), whose sum is σ = 1055756160000. Its totient is φ = 175629438720.

The previous prime is 454135530439. The next prime is 454135530463. The reversal of 454135530440 is 44035531454.

It is a junction number, because it is equal to n+sod(n) for n = 454135530394 and 454135530403.

It is an unprimeable number.

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, 1154261 + ... + 1496859.

It is an arithmetic number, because the mean of its divisors is an integer number (16496190000).

Almost surely, 2454135530440 is an apocalyptic number.

454135530440 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 454135530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527878080000).

454135530440 is an abundant number, since it is smaller than the sum of its proper divisors (601620629560).

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

454135530440 is a wasteful number, since it uses less digits than its factorization.

454135530440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343710 (or 343706 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 454135530440 in words is "four hundred fifty-four billion, one hundred thirty-five million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1069 1240 2138 4276 5345 8552 10690 21380 33139 42760 66278 132556 165695 265112 331390 342599 662780 685198 1325560 1370396 1712995 2740792 3425990 6851980 10620569 13703960 21241138 42482276 53102845 84964552 106205690 212411380 366238331 424822760 732476662 1464953324 1831191655 2929906648 3662383310 7324766620 11353388261 14649533240 22706776522 45413553044 56766941305 90827106088 113533882610 227067765220 454135530440