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455035450440 = 2335109281123803
BaseRepresentation
bin1101001111100100011…
…10011111010001001000
31121111112012110221001010
412213302032133101020
524423403033403230
6545012420523520
744606126340204
oct6476216372110
91544465427033
10455035450440
11165a8571593a
12742325505a0
1333ba969c72c
1418049581b04
15bc833989b0
hex69f239f448

455035450440 has 128 divisors (see below), whose sum is σ = 1382544028800. Its totient is φ = 119800719360.

The previous prime is 455035450423. The next prime is 455035450453. The reversal of 455035450440 is 44054530554.

455035450440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4550354504402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3613579 + ... + 3737381.

It is an arithmetic number, because the mean of its divisors is an integer number (10801125225).

Almost surely, 2455035450440 is an apocalyptic number.

455035450440 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 455035450440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691272014400).

455035450440 is an abundant number, since it is smaller than the sum of its proper divisors (927508578360).

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

455035450440 is a wasteful number, since it uses less digits than its factorization.

455035450440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124207 (or 124203 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 39.

Adding to 455035450440 its reverse (44054530554), we get a palindrome (499089980994).

The spelling of 455035450440 in words is "four hundred fifty-five billion, thirty-five million, four hundred fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 281 327 436 545 562 654 843 872 1090 1124 1308 1405 1635 1686 2180 2248 2616 2810 3270 3372 4215 4360 5620 6540 6744 8430 11240 13080 16860 30629 33720 61258 91887 122516 123803 153145 183774 245032 247606 306290 367548 371409 459435 495212 612580 619015 735096 742818 918870 990424 1225160 1238030 1485636 1837740 1857045 2476060 2971272 3675480 3714090 4952120 7428180 13494527 14856360 26989054 34788643 40483581 53978108 67472635 69577286 80967162 104365929 107956216 134945270 139154572 161934324 173943215 202417905 208731858 269890540 278309144 323868648 347886430 404835810 417463716 521829645 539781080 695772860 809671620 834927432 1043659290 1391545720 1619343240 2087318580 3791962087 4174637160 7583924174 11375886261 15167848348 18959810435 22751772522 30335696696 37919620870 45503545044 56879431305 75839241740 91007090088 113758862610 151678483480 227517725220 455035450440