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450500235444 = 2232722231145227
BaseRepresentation
bin1101000111000111110…
…10000001000010110100
31121001211010200010122100
412203203322001002310
524340111030013234
6542542411302100
744355546551100
oct6434372010264
91531733603570
10450500235444
11164068702776
127338774a930
1333635c1636c
1417b3910a900
15baba151399
hex68e3e810b4

450500235444 has 108 divisors (see below), whose sum is σ = 1330626670464. Its totient is φ = 128137046688.

The previous prime is 450500235431. The next prime is 450500235473. The reversal of 450500235444 is 444532005054.

450500235444 is a `hidden beast` number, since 45 + 0 + 50 + 0 + 23 + 544 + 4 = 666.

It is a super-3 number, since 3×4505002354443 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450500235399 and 450500235408.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 179242 + ... + 965985.

Almost surely, 2450500235444 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 450500235444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665313335232).

450500235444 is an abundant number, since it is smaller than the sum of its proper divisors (880126435020).

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

450500235444 is a wasteful number, since it uses less digits than its factorization.

450500235444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145474 (or 1145462 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 450500235444 in words is "four hundred fifty billion, five hundred million, two hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 223 252 294 441 446 588 669 882 892 1338 1561 1764 2007 2676 3122 4014 4683 6244 8028 9366 10927 14049 18732 21854 28098 32781 43708 56196 65562 98343 131124 196686 393372 1145227 2290454 3435681 4580908 6871362 8016589 10307043 13742724 16033178 20614086 24049767 32066356 41228172 48099534 56116123 72149301 96199068 112232246 144298602 168348369 224464492 255385621 288597204 336696738 505045107 510771242 673393476 766156863 1010090214 1021542484 1532313726 1787699347 2020180428 2298470589 3064627452 3575398694 4596941178 5363098041 7150797388 9193882356 10726196082 12513895429 16089294123 21452392164 25027790858 32178588246 37541686287 50055581716 64357176492 75083372574 112625058861 150166745148 225250117722 450500235444