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340031130323130 = 232553129155217159
BaseRepresentation
bin100110101010000011010101…
…0101111000100100010111010
31122120221122210010001212101100
41031110012222233010202322
5324032032223330320010
63203104051135232230
7131423303252111301
oct11524065257044272
91576848703055340
10340031130323130
1199387435524074
1232178389678676
1311796a4b2a140c
145dd784750d438
152949ecb52a2c0
hex13541aabc48ba

340031130323130 has 96 divisors (see below), whose sum is σ = 901459451617920. Its totient is φ = 88895207007360.

The previous prime is 340031130323117. The next prime is 340031130323147. The reversal of 340031130323130 is 31323031130043.

340031130323130 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 311 + 3 + 0 + 32 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 340031130323094 and 340031130323103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21450510 + ... + 33766649.

It is an arithmetic number, because the mean of its divisors is an integer number (9390202621020).

Almost surely, 2340031130323130 is an apocalyptic number.

340031130323130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340031130323130 is an abundant number, since it is smaller than the sum of its proper divisors (561428321294790).

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

340031130323130 is a wasteful number, since it uses less digits than its factorization.

340031130323130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55218516 (or 55218513 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 340031130323130 its reverse (31323031130043), we get a palindrome (371354161453173).

The spelling of 340031130323130 in words is "three hundred forty trillion, thirty-one billion, one hundred thirty million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1291 1590 2385 2582 3873 4770 6455 7746 11619 12910 19365 23238 38730 58095 68423 116190 136846 205269 342115 410538 615807 684230 1026345 1231614 2052690 3079035 6158070 55217159 110434318 165651477 276085795 331302954 496954431 552171590 828257385 993908862 1656514770 2484772155 2926509427 4969544310 5853018854 8779528281 14632547135 17559056562 26338584843 29265094270 43897641405 52677169686 71285352269 87795282810 131692924215 142570704538 213856056807 263385848430 356426761345 427712113614 641568170421 712853522690 1069280284035 1283136340842 2138560568070 3207840852105 3778123670257 6415681704210 7556247340514 11334371010771 18890618351285 22668742021542 34003113032313 37781236702570 56671855053855 68006226064626 113343710107710 170015565161565 340031130323130