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340031131410112 = 26107110964736917
BaseRepresentation
bin100110101010000011010101…
…0110011001101111011000000
31122120221122210012010002102221
41031110012222303031323000
5324032032224120110422
63203104051214420424
7131423303264256322
oct11524065263157300
91576848705102387
10340031131410112
11993874360a67aa
1232178389b01714
1311796a4b5920bc
145dd7847713612
152949ecb6923c7
hex13541aaccdec0

340031131410112 has 112 divisors (see below), whose sum is σ = 681873335788320. Its totient is φ = 168224442294272.

The previous prime is 340031131410097. The next prime is 340031131410119. The reversal of 340031131410112 is 211014131130043.

It is not an unprimeable number, because it can be changed into a prime (340031131410119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49158754878 + ... + 49158761794.

Almost surely, 2340031131410112 is an apocalyptic number.

340031131410112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340031131410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340936667894160).

340031131410112 is an abundant number, since it is smaller than the sum of its proper divisors (341842204378208).

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

340031131410112 is a wasteful number, since it uses less digits than its factorization.

340031131410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14618 (or 14608 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 340031131410112 its reverse (211014131130043), we get a palindrome (551045262540155).

The spelling of 340031131410112 in words is "three hundred forty trillion, thirty-one billion, one hundred thirty-one million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1109 1712 2218 3424 4436 6473 6848 6917 8872 12946 13834 17744 25892 27668 35488 51784 55336 70976 103568 110672 118663 207136 221344 237326 414272 442688 474652 692611 740119 949304 1385222 1480238 1898608 2770444 2960476 3797216 5540888 5920952 7178557 7594432 7670953 11081776 11841904 14357114 15341906 22163552 23683808 28714228 30683812 44327104 44773741 47367616 57428456 61367624 89547482 114856912 122735248 179094964 229713824 245470496 358189928 459427648 490940992 716379856 768105599 820791971 1432759712 1536211198 1641583942 2865519424 3072422396 3283167884 4790790287 6144844792 6566335768 9581580574 12289689584 13132671536 19163161148 24579379168 26265343072 38326322296 49158758336 49654078769 52530686144 76652644592 99308157538 153305289184 198616315076 306610578368 397232630152 794465260304 1588930520608 3177861041216 5312986428283 10625972856566 21251945713132 42503891426264 85007782852528 170015565705056 340031131410112