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502102272144 = 2431119167299701
BaseRepresentation
bin1110100111001111010…
…00001010100010010000
31210000000101000012110210
413103213220022202100
531211301140202034
61022355042124120
751163363615554
oct7234750124220
91700011005423
10502102272144
11183a387086a0
1281389050640
133846a852ba5
141a432501864
15d0da4988e9
hex74e7a0a890

502102272144 has 160 divisors (see below), whose sum is σ = 1498414095360. Its totient is φ = 143280576000.

The previous prime is 502102272131. The next prime is 502102272151. The reversal of 502102272144 is 441272201205.

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 31 ways as a sum of consecutive naturals, for example, 1525494 + ... + 1825194.

It is an arithmetic number, because the mean of its divisors is an integer number (9365088096).

Almost surely, 2502102272144 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 502102272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749207047680).

502102272144 is an abundant number, since it is smaller than the sum of its proper divisors (996311823216).

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

502102272144 is a wasteful number, since it uses less digits than its factorization.

502102272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299909 (or 299903 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

Adding to 502102272144 its reverse (441272201205), we get a palindrome (943374473349).

The spelling of 502102272144 in words is "five hundred two billion, one hundred two million, two hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 167 176 209 228 264 304 334 418 456 501 528 627 668 836 912 1002 1254 1336 1672 1837 2004 2508 2672 3173 3344 3674 4008 5016 5511 6346 7348 8016 9519 10032 11022 12692 14696 19038 22044 25384 29392 34903 38076 44088 50768 69806 76152 88176 104709 139612 152304 209418 279224 299701 418836 558448 599402 837672 899103 1198804 1675344 1798206 2397608 3296711 3596412 4795216 5694319 6593422 7192824 9890133 11388638 13186844 14385648 17082957 19780266 22777276 26373688 34165914 39560532 45554552 50050067 52747376 62637509 68331828 79121064 91109104 100100134 125275018 136663656 150150201 158242128 187912527 200200268 250550036 273327312 300300402 375825054 400400536 501100072 550550737 600600804 751650108 800801072 950951273 1002200144 1101101474 1201201608 1503300216 1651652211 1901902546 2202202948 2402403216 2852853819 3006600432 3303304422 3803805092 4404405896 5705707638 6606608844 7607610184 8808811792 10460464003 11411415276 13213217688 15215220368 20920928006 22822830552 26426435376 31381392009 41841856012 45645661104 62762784018 83683712024 125525568036 167367424048 251051136072 502102272144