Search a number
-
+
141684417135 = 3554318114983
BaseRepresentation
bin1000001111110100001…
…1001010001001101111
3111112201020020010200000
42003331003022021233
54310132202322020
6145031112435343
713144033450302
oct2037503121157
9445636203600
10141684417135
11550a7183718
12235619a8b53
131048c843821
146c01218b39
153a43a48090
hex20fd0ca26f

141684417135 has 96 divisors (see below), whose sum is σ = 262062248448. Its totient is φ = 73395020160.

The previous prime is 141684417107. The next prime is 141684417151. The reversal of 141684417135 is 531714486141.

141684417135 is a `hidden beast` number, since 1 + 41 + 68 + 4 + 417 + 135 = 666.

141684417135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141684417135 - 25 = 141684417103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9448854 + ... + 9463836.

It is an arithmetic number, because the mean of its divisors is an integer number (2729815088).

Almost surely, 2141684417135 is an apocalyptic number.

141684417135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

141684417135 is a deficient number, since it is larger than the sum of its proper divisors (120377831313).

141684417135 is a wasteful number, since it uses less digits than its factorization.

141684417135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15227 (or 15215 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 141684417135 in words is "one hundred forty-one billion, six hundred eighty-four million, four hundred seventeen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 43 45 81 129 135 181 215 243 387 405 543 645 905 1161 1215 1629 1935 2715 3483 4887 5805 7783 8145 10449 14661 14983 17415 23349 24435 38915 43983 44949 52245 70047 73305 74915 116745 134847 210141 219915 224745 350235 404541 630423 644269 674235 1050705 1213623 1891269 1932807 2022705 2711923 3152115 3221345 3640869 5798421 6068115 8135769 9456345 9664035 13559615 17395263 18204345 24407307 28992105 40678845 52185789 73221921 86976315 116612689 122036535 156557367 219665763 260928945 349838067 366109605 583063445 658997289 782786835 1049514201 1098328815 1749190335 3148542603 3294986445 5247571005 9445627809 15742713015 28336883427 47228139045 141684417135