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344114123445 = 33519317160953
BaseRepresentation
bin1010000000111101100…
…11001101001010110101
31012220012220102200122000
411000132303031022311
521114221203422240
6422030035525513
733601316534211
oct5003663151265
91186186380560
10344114123445
11122a354a7164
1256837159899
13265b034ca31
1412925c8d941
158e40460430
hex501eccd2b5

344114123445 has 128 divisors (see below), whose sum is σ = 674102476800. Its totient is φ = 165886963200.

The previous prime is 344114123417. The next prime is 344114123449. The reversal of 344114123445 is 544321411443.

It is a happy number.

344114123445 is a `hidden beast` number, since 3 + 4 + 411 + 4 + 1 + 234 + 4 + 5 = 666.

It is not a de Polignac number, because 344114123445 - 216 = 344114057909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344114123449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5615089 + ... + 5676041.

It is an arithmetic number, because the mean of its divisors is an integer number (5266425600).

Almost surely, 2344114123445 is an apocalyptic number.

It is an amenable number.

344114123445 is a deficient number, since it is larger than the sum of its proper divisors (329988353355).

344114123445 is a wasteful number, since it uses less digits than its factorization.

344114123445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61088 (or 61082 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 344114123445 its reverse (544321411443), we get a palindrome (888435534888).

The spelling of 344114123445 in words is "three hundred forty-four billion, one hundred fourteen million, one hundred twenty-three thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 19 27 31 45 57 71 93 95 135 155 171 213 279 285 355 465 513 589 639 837 855 1065 1349 1395 1767 1917 2201 2565 2945 3195 4047 4185 5301 6603 6745 8835 9585 11005 12141 15903 19809 20235 26505 33015 36423 41819 59427 60705 60953 79515 99045 125457 182115 182859 209095 297135 304765 376371 548577 627285 914295 1129113 1158107 1645731 1881855 1889543 2742885 3474321 4327663 5645565 5668629 5790535 8228655 9447715 10422963 12982989 17005887 17371605 21638315 28343145 31268889 35901317 38948967 51017661 52114815 64914945 82225597 85029435 107703951 116846901 134157553 156344445 179506585 194744835 246676791 255088305 323111853 402472659 411127985 538519755 584234505 670787765 740030373 969335559 1207417977 1233383955 1615559265 2012363295 2220091119 2548993507 3622253931 3700151865 4846677795 6037089885 7646980521 11100455595 12744967535 18111269655 22940941563 38234902605 68822824689 114704707815 344114123445