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42667121440 = 2551693157513
BaseRepresentation
bin100111101111001010…
…001001101100100000
311002010112201100022001
4213233022021230200
51144340240341230
631333452253344
73040221356026
oct475712115440
9132115640261
1042667121440
1117105528939
128329171254
13403c7c6a28
1420ca8c2716
15119ac250ca
hex9ef289b20

42667121440 has 48 divisors (see below), whose sum is σ = 100861254648. Its totient is φ = 17056659456.

The previous prime is 42667121437. The next prime is 42667121473. The reversal of 42667121440 is 4412176624.

It can be written as a sum of positive squares in 4 ways, for example, as 37522789264 + 5144332176 = 193708^2 + 71724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42667121440.

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 7 ways as a sum of consecutive naturals, for example, 192124 + ... + 349636.

Almost surely, 242667121440 is an apocalyptic number.

42667121440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42667121440 is an abundant number, since it is smaller than the sum of its proper divisors (58194133208).

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

42667121440 is a wasteful number, since it uses less digits than its factorization.

42667121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159221 (or 159213 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 42667121440 in words is "forty-two billion, six hundred sixty-seven million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1693 3386 6772 8465 13544 16930 27088 33860 54176 67720 135440 157513 270880 315026 630052 787565 1260104 1575130 2520208 3150260 5040416 6300520 12601040 25202080 266669509 533339018 1066678036 1333347545 2133356072 2666695090 4266712144 5333390180 8533424288 10666780360 21333560720 42667121440