Search a number
-
+
45520114304 = 277311739473
BaseRepresentation
bin101010011001001101…
…011101001010000000
311100111101010101202102
4222121031131022000
51221211122124204
632524530005532
73201013405340
oct523115351200
9140441111672
1045520114304
1118339a10685
1289a47168a8
1343a58b96a2
1422bb77cd20
1512b642b41e
hexa9935d280

45520114304 has 128 divisors (see below), whose sum is σ = 107612513280. Its totient is φ = 18768199680.

The previous prime is 45520114267. The next prime is 45520114309. The reversal of 45520114304 is 40341102554.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (45520114309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4800512 + ... + 4809984.

It is an arithmetic number, because the mean of its divisors is an integer number (840722760).

Almost surely, 245520114304 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 45520114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53806256640).

45520114304 is an abundant number, since it is smaller than the sum of its proper divisors (62092398976).

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

45520114304 is a wasteful number, since it uses less digits than its factorization.

45520114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698 (or 9686 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 45520114304 its reverse (40341102554), we get a palindrome (85861216858).

The spelling of 45520114304 in words is "forty-five billion, five hundred twenty million, one hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 173 217 224 248 346 434 448 496 692 868 896 992 1211 1384 1736 1984 2422 2768 3472 3968 4844 5363 5536 6944 9473 9688 10726 11072 13888 18946 19376 21452 22144 27776 37541 37892 38752 42904 66311 75082 75784 77504 85808 132622 150164 151568 155008 171616 265244 293663 300328 303136 343232 530488 587326 600656 606272 686464 1060976 1174652 1201312 1212544 1638829 2055641 2121952 2349304 2402624 3277658 4111282 4243904 4698608 4805248 6555316 8222564 8487808 9397216 11471803 13110632 16445128 18794432 22943606 26221264 32890256 37588864 45887212 50803699 52442528 65780512 91774424 101607398 104885056 131561024 183548848 203214796 209770112 263122048 355625893 367097696 406429592 711251786 734195392 812859184 1422503572 1468390784 1625718368 2845007144 3251436736 5690014288 6502873472 11380028576 22760057152 45520114304