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450300114054 = 23372181940229
BaseRepresentation
bin1101000110101111111…
…10100111010010000110
31121001022012002220201000
412203113332213102012
524334203312122204
6542510502114130
744350566546600
oct6432776472206
91531265086630
10450300114054
11163a7574759a
127333071b946
1333603618a3b
1417b1a6d6170
15baa77c1039
hex68d7fa7486

450300114054 has 96 divisors (see below), whose sum is σ = 1170473522400. Its totient is φ = 127946226240.

The previous prime is 450300114053. The next prime is 450300114059. The reversal of 450300114054 is 450411003054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450300114053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8812 + ... + 949040.

It is an arithmetic number, because the mean of its divisors is an integer number (12192432525).

Almost surely, 2450300114054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450300114054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585236761200).

450300114054 is an abundant number, since it is smaller than the sum of its proper divisors (720173408346).

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

450300114054 is a wasteful number, since it uses less digits than its factorization.

450300114054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940435 (or 940422 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 450300114054 in words is "four hundred fifty billion, three hundred million, one hundred fourteen thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 181 189 294 362 378 441 543 882 1086 1267 1323 1629 2534 2646 3258 3801 4887 7602 8869 9774 11403 17738 22806 26607 34209 53214 68418 79821 159642 239463 478926 940229 1880458 2820687 5641374 6581603 8462061 13163206 16924122 19744809 25386183 39489618 46071221 50772366 59234427 92142442 118468854 138213663 170181449 177703281 276427326 340362898 355406562 414640989 510544347 829281978 1021088694 1191270143 1243922967 1531633041 2382540286 2487845934 3063266082 3573810429 4594899123 7147620858 8338891001 9189798246 10721431287 16677782002 21442862574 25016673003 32164293861 50033346006 64328587722 75050019009 150100038018 225150057027 450300114054