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141244114011 = 372111320633257
BaseRepresentation
bin1000001110001011001…
…1100010010001011011
3111111120112201102022220
42003202303202101123
54303231443122021
6144515303315123
713130106105600
oct2034263422133
9444515642286
10141244114011
11549a0690440
122345a44baa3
131041c560730
146b9c9626a7
153a1a072cc6
hex20e2ce245b

141244114011 has 96 divisors (see below), whose sum is σ = 257575707648. Its totient is φ = 67675829760.

The previous prime is 141244114007. The next prime is 141244114027. The reversal of 141244114011 is 110411442141.

It is not a de Polignac number, because 141244114011 - 22 = 141244114007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (141244114061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43364695 + ... + 43367951.

It is an arithmetic number, because the mean of its divisors is an integer number (2683080288).

Almost surely, 2141244114011 is an apocalyptic number.

141244114011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

141244114011 is a deficient number, since it is larger than the sum of its proper divisors (116331593637).

141244114011 is a wasteful number, since it uses less digits than its factorization.

141244114011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 141244114011 its reverse (110411442141), we get a palindrome (251655556152).

It can be divided in two parts, 141244 and 114011, that added together give a triangular number (255255 = T714).

The spelling of 141244114011 in words is "one hundred forty-one billion, two hundred forty-four million, one hundred fourteen thousand, eleven".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 2063 3003 3257 6189 7007 9771 14441 21021 22693 22799 26819 35827 42341 43323 68079 68397 80457 101087 107481 127023 158851 159593 187733 250789 295009 296387 303261 465751 476553 478779 563199 752367 885027 889161 1111957 1314131 1397253 1755523 2065063 2074709 3260257 3335871 3942393 5266569 6195189 6224127 6719191 9780771 14455441 20157573 22821799 43366323 47034337 68465397 73911101 87349483 141103011 221733303 262048449 329240359 517377707 611446381 960844313 987721077 1552133121 1834339143 2882532939 3621643949 4280124667 6725910191 10864931847 12840374001 20177730573 47081371337 141244114011