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3414312343035 = 345115631361279
BaseRepresentation
bin110001101011110100110…
…111111101010111111011
3110002101221022001000010000
4301223310313331113323
5421420002424434120
611132302522524043
7501450562031526
oct61536467752773
913071838030100
103414312343035
1110a7002341250
12471872366623
131b9c783aa079
14bb379c39bbd
155dc328bb990
hex31af4dfd5fb

3414312343035 has 80 divisors (see below), whose sum is σ = 6688741847040. Its totient is φ = 1652482589760.

The previous prime is 3414312342983. The next prime is 3414312343037. The reversal of 3414312343035 is 5303432134143.

3414312343035 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 312 + 34 + 303 + 5 = 666.

It is not a de Polignac number, because 3414312343035 - 210 = 3414312342011 is a prime.

It is a super-3 number, since 3×34143123430353 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3414312343037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1827526 + ... + 3188804.

It is an arithmetic number, because the mean of its divisors is an integer number (83609273088).

Almost surely, 23414312343035 is an apocalyptic number.

3414312343035 is a deficient number, since it is larger than the sum of its proper divisors (3274429504005).

3414312343035 is a wasteful number, since it uses less digits than its factorization.

3414312343035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361870 (or 1361861 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 3414312343035 its reverse (5303432134143), we get a palindrome (8717744477178).

The spelling of 3414312343035 in words is "three trillion, four hundred fourteen billion, three hundred twelve million, three hundred forty-three thousand, thirty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 297 405 495 563 891 1485 1689 2815 4455 5067 6193 8445 15201 18579 25335 30965 45603 55737 76005 92895 167211 228015 278685 501633 836055 1361279 2508165 4083837 6806395 12251511 14974069 20419185 36754533 44922207 61257555 74870345 110263599 134766621 183772665 224611035 404299863 551317995 673833105 766400077 1212899589 2021499315 2299200231 3832000385 6064497945 6897600693 8430400847 11496001155 20692802079 25291202541 34488003465 42152004235 62078406237 75873607623 103464010395 126456012705 227620822869 310392031185 379368038115 682862468607 1138104114345 3414312343035