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140224222132011 = 3390733191725221
BaseRepresentation
bin11111111000100001111110…
…111100101111011100101011
3200101111022020010202000122000
4133320201332330233130223
5121334413201331211021
61214122041321302043
741351602641666543
oct3770417674573453
9611438203660560
10140224222132011
1140752838834766
1213888488334923
13603211a061b64
14268ac6230c323
1511328491cdb26
hex7f887ef2f72b

140224222132011 has 32 divisors (see below), whose sum is σ = 208031409292800. Its totient is φ = 93351557587680.

The previous prime is 140224222132003. The next prime is 140224222132019. The reversal of 140224222132011 is 110231222422041.

140224222132011 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 2 + 422 + 213 + 20 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (140224222132003) and next prime (140224222132019).

It is not a de Polignac number, because 140224222132011 - 23 = 140224222132003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (140224222132019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80416381 + ... + 82141601.

It is an arithmetic number, because the mean of its divisors is an integer number (6500981540400).

Almost surely, 2140224222132011 is an apocalyptic number.

140224222132011 is a deficient number, since it is larger than the sum of its proper divisors (67807187160789).

140224222132011 is a wasteful number, since it uses less digits than its factorization.

140224222132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729456 (or 1729450 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 140224222132011 its reverse (110231222422041), we get a palindrome (250455444554052).

The spelling of 140224222132011 in words is "one hundred forty trillion, two hundred twenty-four billion, two hundred twenty-two million, one hundred thirty-two thousand, eleven".

Divisors: 1 3 9 27 907 2721 3319 8163 9957 24489 29871 89613 1725221 3010333 5175663 9030999 15526989 27092997 46580967 81278991 1564775447 4694326341 5726008499 14082979023 17178025497 42248937069 51534076491 154602229473 5193489708593 15580469125779 46741407377337 140224222132011