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141122431214303 = 71161103604748239
BaseRepresentation
bin100000000101100110100000…
…011000011110001011011111
3200111200011122212121001121212
4200011212200120132023133
5121444122214342324203
61220050425551215035
741503521255140630
oct4005464030361337
9614604585531555
10141122431214303
1140a69761403580
12139b258081747b
136098a3278ab36
1426bc50d903887
15114adb93981d8
hex8059a061e2df

141122431214303 has 64 divisors (see below), whose sum is σ = 180599000924160. Its totient is φ = 107092759305600.

The previous prime is 141122431214293. The next prime is 141122431214393. The reversal of 141122431214303 is 303412134221141.

It is a cyclic number.

It is not a de Polignac number, because 141122431214303 - 218 = 141122430952159 is a prime.

It is a super-2 number, since 2×1411224312143032 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 141122431214303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141122431214393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2925460058 + ... + 2925508296.

It is an arithmetic number, because the mean of its divisors is an integer number (2821859389440).

Almost surely, 2141122431214303 is an apocalyptic number.

141122431214303 is a deficient number, since it is larger than the sum of its proper divisors (39476569709857).

141122431214303 is a wasteful number, since it uses less digits than its factorization.

141122431214303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54468.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 141122431214303 its reverse (303412134221141), we get a palindrome (444534565435444).

The spelling of 141122431214303 in words is "one hundred forty-one trillion, one hundred twenty-two billion, four hundred thirty-one million, two hundred fourteen thousand, three hundred three".

Divisors: 1 7 11 61 77 103 427 671 721 1133 4697 6047 6283 7931 42329 43981 48239 66517 69113 337673 368867 465619 483791 530629 622841 2582069 2942579 3714403 4057537 4359887 4968617 6851251 20598053 28402759 32368369 34780319 37993301 47958757 54654787 226578583 265953107 291701233 303085637 382583509 417926311 2041908631 2121599459 2925484177 3208713563 3333942007 17793775213 22460994941 23337594049 30045226999 124556426491 195731527343 210316588993 330497496989 1370120691401 1832758846939 2313482478923 12829311928573 20160347316329 141122431214303