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1450243314 = 2321397181353
BaseRepresentation
bin101011001110000…
…1111010011110010
310202001212222211100
41112130033103302
510432230241224
6355523425230
750636602422
oct12634172362
93661788740
101450243314
116846962a3
12345825216
131a15c0850
14da870482
15874bbac9
hex5670f4f2

1450243314 has 96 divisors (see below), whose sum is σ = 3447413424. Its totient is φ = 437944320.

The previous prime is 1450243303. The next prime is 1450243321. The reversal of 1450243314 is 4133420541.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 45118089 + 1405125225 = 6717^2 + 37485^2 .

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 47 ways as a sum of consecutive naturals, for example, 4108162 + ... + 4108514.

Almost surely, 21450243314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450243314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723706712).

1450243314 is an abundant number, since it is smaller than the sum of its proper divisors (1997170110).

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

1450243314 is a wasteful number, since it uses less digits than its factorization.

1450243314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1450243314 is about 38082.0602646443. The cubic root of 1450243314 is about 1131.9145016731.

Adding to 1450243314 its reverse (4133420541), we get a palindrome (5583663855).

The spelling of 1450243314 in words is "one billion, four hundred fifty million, two hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 97 117 181 194 234 291 353 362 543 582 706 873 1059 1086 1261 1629 1746 2118 2353 2522 3177 3258 3783 4589 4706 6354 7059 7566 9178 11349 13767 14118 17557 21177 22698 27534 34241 35114 41301 42354 52671 63893 68482 82602 102723 105342 127786 158013 191679 205446 228241 308169 316026 383358 445133 456482 575037 616338 684723 830609 890266 1150074 1335399 1369446 1661218 2054169 2491827 2670798 4006197 4108338 4983654 6197621 7475481 8012394 12395242 14950962 18592863 37185726 55778589 80569073 111557178 161138146 241707219 483414438 725121657 1450243314