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450153432344 = 23711730768559
BaseRepresentation
bin1101000110011110011…
…11000100010100011000
31121000220222002201020002
412203033033010110120
524333403234313334
6542444142152132
744344136020250
oct6431717042430
91530828081202
10450153432344
111639aa971440
12732ab582648
13335ac10c325
1417b05032960
15ba99999b7e
hex68cf3c4518

450153432344 has 32 divisors (see below), whose sum is σ = 1052306726400. Its totient is φ = 175384453920.

The previous prime is 450153432343. The next prime is 450153432359. The reversal of 450153432344 is 443234351054.

It is a super-2 number, since 2×4501534323442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 450153432298 and 450153432307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450153432343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365383664 + ... + 365384895.

It is an arithmetic number, because the mean of its divisors is an integer number (32884585200).

Almost surely, 2450153432344 is an apocalyptic number.

450153432344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

450153432344 is an abundant number, since it is smaller than the sum of its proper divisors (602153294056).

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

450153432344 is a wasteful number, since it uses less digits than its factorization.

450153432344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730768583 (or 730768579 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 450153432344 its reverse (443234351054), we get a palindrome (893387783398).

The spelling of 450153432344 in words is "four hundred fifty billion, one hundred fifty-three million, four hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 730768559 1461537118 2923074236 5115379913 5846148472 8038454149 10230759826 16076908298 20461519652 32153816596 40923039304 56269179043 64307633192 112538358086 225076716172 450153432344