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340014322131042 = 231315746036032009
BaseRepresentation
bin100110101001111011100000…
…0111000111010000001100010
31122120220001101201111020110110
41031103313000320322001202
5324031243312431143132
63203052231225312150
7131422136604614646
oct11523670070720142
91576801351436413
10340014322131042
119938029a762629
1232175078635656
131179529cc57620
145dd6ad10bcc26
152949845ae01cc
hex1353dc0e3a062

340014322131042 has 64 divisors (see below), whose sum is σ = 737163352517760. Its totient is φ = 103930822255104.

The previous prime is 340014322131019. The next prime is 340014322131079. The reversal of 340014322131042 is 240131223410043.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53352334 + ... + 59384342.

It is an arithmetic number, because the mean of its divisors is an integer number (11518177383090).

Almost surely, 2340014322131042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340014322131042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368581676258880).

340014322131042 is an abundant number, since it is smaller than the sum of its proper divisors (397149030386718).

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

340014322131042 is a wasteful number, since it uses less digits than its factorization.

340014322131042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036787.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 340014322131042 its reverse (240131223410043), we get a palindrome (580145545541085).

The spelling of 340014322131042 in words is "three hundred forty trillion, fourteen billion, three hundred twenty-two million, one hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 4603 6123 9206 12246 13809 27618 59839 119678 179517 359034 722671 1445342 2168013 4336026 6032009 9394723 12064018 18096027 18789446 28184169 36192054 56368338 78416117 156832234 235248351 470496702 947025413 1894050826 2841076239 5682152478 12311330369 24622660738 27765337427 36933991107 55530674854 73867982214 83296012281 166592024562 360949386551 721898773102 1082848159653 2165696319306 4359157976039 8718315952078 13077473928117 26154947856234 56669053688507 113338107377014 170007161065521 340014322131042