Search a number
-
+
502145342000211 = 371324715119936487
BaseRepresentation
bin111001000101100101101001…
…0101111000100110001010011
32102211221121220021001002210110
41302023023102233010301103
51011304122130023001321
64535550215134132403
7210524542454164620
oct16213132257046123
92384847807032713
10502145342000211
11135aa97097255a8
124839b16b051103
1318726144460800
148bddd6dbc3347
153d0be455ac176
hex1c8b2d2bc4c53

502145342000211 has 96 divisors (see below), whose sum is σ = 851793945919488. Its totient is φ = 257515602364800.

The previous prime is 502145342000173. The next prime is 502145342000251. The reversal of 502145342000211 is 112000243541205.

It is not a de Polignac number, because 502145342000211 - 222 = 502145337805907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (502145342000251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15219010 + ... + 35155496.

It is an arithmetic number, because the mean of its divisors is an integer number (8872853603328).

Almost surely, 2502145342000211 is an apocalyptic number.

502145342000211 is a deficient number, since it is larger than the sum of its proper divisors (349648603919277).

502145342000211 is a wasteful number, since it uses less digits than its factorization.

502145342000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19936721 (or 19936708 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 502145342000211 its reverse (112000243541205), we get a palindrome (614145585541416).

The spelling of 502145342000211 in words is "five hundred two trillion, one hundred forty-five billion, three hundred forty-two million, two hundred eleven", and thus it is an aban number.

Divisors: 1 3 7 13 21 39 47 91 141 151 169 273 329 453 507 611 987 1057 1183 1833 1963 3171 3549 4277 5889 7097 7943 12831 13741 21291 23829 25519 41223 49679 55601 76557 92261 149037 166803 178633 276783 535899 645827 1199393 1937481 3598179 8395751 19936487 25187253 59809461 139555409 259174331 418666227 777522993 937014889 1814220317 2811044667 3010409537 3369266303 5442660951 6559104223 9031228611 10107798909 12181193557 19677312669 21072866759 23584864121 36543580671 39135323981 63218600277 70754592363 85268354899 117405971943 141489248239 158355516241 255805064697 273947267867 424467744717 475066548723 508759211753 821841803601 990424737673 1108488613687 1526277635259 1839360227107 2971274213019 3325465841061 3561314482271 5518080681321 10683943446813 12875521589749 23911682952391 38626564769247 71735048857173 167381780666737 502145342000211