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40450305132 = 2232192916712211
BaseRepresentation
bin100101101011000001…
…101010110001101100
310212102001101102000100
4211223001222301230
51130320234231012
630325502231100
72631252630516
oct455301526154
9125361342010
1040450305132
1116178162a46
127a0a885490
133a784580c3
141d5a308bb6
1510bb2d58dc
hex96b06ac6c

40450305132 has 144 divisors (see below), whose sum is σ = 112018233600. Its totient is φ = 12258449280.

The previous prime is 40450305131. The next prime is 40450305139. The reversal of 40450305132 is 23150305404.

It is a junction number, because it is equal to n+sod(n) for n = 40450305096 and 40450305105.

It is not an unprimeable number, because it can be changed into a prime (40450305131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3306507 + ... + 3318717.

It is an arithmetic number, because the mean of its divisors is an integer number (777904400).

Almost surely, 240450305132 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 40450305132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56009116800).

40450305132 is an abundant number, since it is smaller than the sum of its proper divisors (71567928468).

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

40450305132 is a wasteful number, since it uses less digits than its factorization.

40450305132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12436 (or 12431 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 40450305132 in words is "forty billion, four hundred fifty million, three hundred five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 29 36 38 57 58 76 87 114 116 167 171 174 228 261 334 342 348 501 522 551 668 684 1002 1044 1102 1503 1653 2004 2204 3006 3173 3306 4843 4959 6012 6346 6612 9519 9686 9918 12211 12692 14529 19038 19372 19836 24422 28557 29058 36633 38076 43587 48844 57114 58116 73266 87174 92017 109899 114228 146532 174348 184034 219798 232009 276051 354119 368068 439596 464018 552102 696027 708238 828153 928036 1062357 1104204 1392054 1416476 1656306 2039237 2088081 2124714 2784108 3187071 3312612 4078474 4176162 4249428 6117711 6374142 6728261 8156948 8352324 12235422 12748284 13456522 18353133 20184783 24470844 26913044 36706266 38745503 40369566 59137873 60554349 73412532 77491006 80739132 116236509 118275746 121108698 154982012 177413619 232473018 236551492 242217396 348709527 354827238 464946036 532240857 697419054 709654476 1064481714 1123619587 1394838108 2128963428 2247239174 3370858761 4494478348 6741717522 10112576283 13483435044 20225152566 40450305132