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13342046324145 = 3571123736880021
BaseRepresentation
bin1100001000100110111111…
…1011101000010110110001
31202020111011011000010112020
43002021233323220112301
53222044002324333040
644213130152222053
72544634226364330
oct302115773502661
952214134003466
1013342046324145
11428436a361710
1215b594039a929
1375a1c37b2b66
14341a8940bd17
151820cd2e0cd0
hexc226fee85b1

13342046324145 has 128 divisors (see below), whose sum is σ = 28152389541888. Its totient is φ = 5231016806400.

The previous prime is 13342046324143. The next prime is 13342046324161. The reversal of 13342046324145 is 54142364024331.

It is not a de Polignac number, because 13342046324145 - 21 = 13342046324143 is a prime.

It is a super-2 number, since 2×133420463241452 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13342046324097 and 13342046324106.

It is not an unprimeable number, because it can be changed into a prime (13342046324143) 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 127 ways as a sum of consecutive naturals, for example, 1500766 + ... + 5379255.

It is an arithmetic number, because the mean of its divisors is an integer number (219940543296).

Almost surely, 213342046324145 is an apocalyptic number.

13342046324145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13342046324145 is an abundant number, since it is smaller than the sum of its proper divisors (14810343217743).

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

13342046324145 is a wasteful number, since it uses less digits than its factorization.

13342046324145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880143.

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 13342046324145 in words is "thirteen trillion, three hundred forty-two billion, forty-six million, three hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 73 77 105 115 161 165 219 231 253 345 365 385 483 511 759 803 805 1095 1155 1265 1533 1679 1771 2409 2415 2555 3795 4015 5037 5313 5621 7665 8395 8855 11753 12045 16863 18469 25185 26565 28105 35259 55407 58765 84315 92345 129283 176295 277035 387849 646415 1939245 6880021 20640063 34400105 48160147 75680231 103200315 144480441 158240483 227040693 240800735 378401155 474721449 502241533 529761617 722402205 791202415 1107683381 1135203465 1506724599 1589284851 1740645313 2373607245 2511207665 2648808085 3323050143 3515690731 5221935939 5524656863 5538416905 7533622995 7946424255 8703226565 10547072193 11551555259 12184517191 16573970589 16615250715 17578453655 26109679695 27623284315 34654665777 36553551573 38672598041 52735360965 57757776295 60922585955 80860886813 82869852945 116017794123 127067107849 173273328885 182767757865 193362990205 242582660439 381201323547 404304434065 580088970615 635335539245 889469754943 1212913302195 1906006617735 2668409264829 4447348774715 13342046324145