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13405504222304 = 257146115718147
BaseRepresentation
bin1100001100010011011001…
…0100010011010001100000
31202110112221122020100210122
43003010312110103101200
53224113433040103204
644302223103215412
72552341614540635
oct303046624232140
952415848210718
1013405504222304
1142a927371a847
1216060b02a7568
1376319775821c
14344b8922018c
15183a943d60be
hexc3136513460

13405504222304 has 96 divisors (see below), whose sum is σ = 26842229390592. Its totient is φ = 6589006144000.

The previous prime is 13405504222267. The next prime is 13405504222307. The reversal of 13405504222304 is 40322240550431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13405504222307) 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 15 ways as a sum of consecutive naturals, for example, 1645448759 + ... + 1645456905.

It is an arithmetic number, because the mean of its divisors is an integer number (279606556152).

Almost surely, 213405504222304 is an apocalyptic number.

It is an amenable number.

13405504222304 is an abundant number, since it is smaller than the sum of its proper divisors (13436725168288).

13405504222304 is a wasteful number, since it uses less digits than its factorization.

13405504222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 13405504222304 its reverse (40322240550431), we get a palindrome (53727744772735).

The spelling of 13405504222304 in words is "thirteen trillion, four hundred five billion, five hundred four million, two hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 71 142 284 461 568 922 1136 1571 1844 2272 3142 3688 6284 7376 8147 12568 14752 16294 25136 32588 32731 50272 65176 65462 111541 130352 130924 223082 260704 261848 446164 523696 578437 724231 892328 1047392 1156874 1448462 1784656 2313748 2896924 3569312 3755767 4627496 5793848 7511534 9254992 11587696 12798937 15023068 18509984 23175392 25597874 30046136 51195748 51420401 60092272 102391496 102840802 120184544 204782992 205681604 266659457 409565984 411363208 533318914 822726416 908724527 1066637828 1645452832 1817449054 2133275656 3634898108 4266551312 5900309957 7269796216 8533102624 11800619914 14539592432 23601239828 29079184864 47202479656 94404959312 188809918624 418922006947 837844013894 1675688027788 3351376055576 6702752111152 13405504222304