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499304380320 = 25325457758729
BaseRepresentation
bin1110100010000001101…
…11000011011110100000
31202201210101021120102200
413101000313003132200
531140033410132240
61021213253413200
751034141130544
oct7210067033640
91681711246380
10499304380320
111828323400a9
128092803a200
1338112cb33b5
141a248aa9a24
15cec4a28930
hex7440dc37a0

499304380320 has 144 divisors (see below), whose sum is σ = 1707606842760. Its totient is φ = 132856307712.

The previous prime is 499304380319. The next prime is 499304380321. The reversal of 499304380320 is 23083403994.

It is an interprime number because it is at equal distance from previous prime (499304380319) and next prime (499304380321).

It can be written as a sum of positive squares in 4 ways, for example, as 487377119376 + 11927260944 = 698124^2 + 109212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (499304380321) 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 23 ways as a sum of consecutive naturals, for example, 278716 + ... + 1037444.

Almost surely, 2499304380320 is an apocalyptic number.

499304380320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499304380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853803421380).

499304380320 is an abundant number, since it is smaller than the sum of its proper divisors (1208302462440).

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

499304380320 is a wasteful number, since it uses less digits than its factorization.

499304380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759207 (or 759196 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 499304380320 in words is "four hundred ninety-nine billion, three hundred four million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 457 480 720 914 1371 1440 1828 2285 2742 3656 4113 4570 5484 6855 7312 8226 9140 10968 13710 14624 16452 18280 20565 21936 27420 32904 36560 41130 43872 54840 65808 73120 82260 109680 131616 164520 219360 329040 658080 758729 1517458 2276187 3034916 3793645 4552374 6069832 6828561 7587290 9104748 11380935 12139664 13657122 15174580 18209496 22761870 24279328 27314244 30349160 34142805 36418992 45523740 54628488 60698320 68285610 72837984 91047480 109256976 121396640 136571220 182094960 218513952 273142440 346739153 364189920 546284880 693478306 1040217459 1092569760 1386956612 1733695765 2080434918 2773913224 3120652377 3467391530 4160869836 5201087295 5547826448 6241304754 6934783060 8321739672 10402174590 11095652896 12482609508 13869566120 15603261885 16643479344 20804349180 24965219016 27739132240 31206523770 33286958688 41608698360 49930438032 55478264480 62413047540 83217396720 99860876064 124826095080 166434793440 249652190160 499304380320