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342302404203243 = 3211219167334329633
BaseRepresentation
bin100110111010100100111110…
…1001101010101001011101011
31122212222210100002120122201100
41031311021331031111023223
5324331240310434000433
63212003315325052443
7132046350451415241
oct11565117515251353
91585883302518640
10342302404203243
119a0826a8405100
12324845ba6b7123
13118ccc941903c3
14607574bd38791
15298910ed1db13
hex137527d3552eb

342302404203243 has 144 divisors (see below), whose sum is σ = 575692823946240. Its totient is φ = 195295366379520.

The previous prime is 342302404203211. The next prime is 342302404203247.

342302404203243 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 0 + 2 + 404 + 2 + 0 + 3 + 243 = 666.

342302404203243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342302404203243 - 25 = 342302404203211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342302404203198 and 342302404203207.

It is not an unprimeable number, because it can be changed into a prime (342302404203247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11551377355 + ... + 11551406987.

It is an arithmetic number, because the mean of its divisors is an integer number (3997866832960).

Almost surely, 2342302404203243 is an apocalyptic number.

342302404203243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

342302404203243 is a deficient number, since it is larger than the sum of its proper divisors (233390419742997).

342302404203243 is a wasteful number, since it uses less digits than its factorization.

342302404203243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33190 (or 33176 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 34230240 and 4203243, that added together give a palindrome (38433483).

The spelling of 342302404203243 in words is "three hundred forty-two trillion, three hundred two billion, four hundred four million, two hundred three thousand, two hundred forty-three".

Divisors: 1 3 9 11 19 33 57 99 121 167 171 209 363 501 627 1089 1503 1837 1881 2299 3173 3343 5511 6897 9519 10029 16533 20207 20691 28557 29633 30087 34903 36773 60621 63517 88899 104709 110319 181863 190551 266697 314127 325963 330957 383933 404503 558281 563027 571653 698687 977889 1151799 1213509 1674843 1689081 2096061 2933667 3455397 3585593 3640527 4948711 5024529 5067243 6141091 6193297 6288183 7685557 10607339 10756779 14846133 18423273 18579891 23056671 31822017 32270337 44538399 54435821 55269819 55739673 67552001 68126267 69170013 94025509 95466051 99063119 116680729 163307463 202656003 204378801 282076527 297189357 350042187 489922389 598794031 607968009 613136403 846229581 891568071 1034280599 1050126561 1089694309 1283488019 1796382093 1882199261 3102841797 3269082927 3850464057 5389146279 5646597783 9308525391 9807248781 11377086589 11551392171 11986637399 16543540873 16939793349 20704191871 34131259767 35959912197 49630622619 62112575613 102393779301 107879736591 148891867857 181978949603 186337726839 227746110581 314327276587 545936848809 683238331743 942981829761 1637810546427 2001768445633 2049714995229 2828945489283 3457600042457 6005305336899 10372800127371 18015916010697 31118400382113 38033600467027 114100801401081 342302404203243