Search a number
-
+
141969899136 = 27313156718149
BaseRepresentation
bin1000010000111000010…
…0001011111010000000
3111120110010102010100110
42010032010023322000
54311223243233021
6145115311351320
713154101142322
oct2041604137200
9446403363313
10141969899136
115523334155a
1223621522540
1310506a2a4a0
146c2b0cd612
153a5db3a476
hex210e10be80

141969899136 has 128 divisors (see below), whose sum is σ = 406397376000. Its totient is φ = 43652763648.

The previous prime is 141969899119. The next prime is 141969899287. The reversal of 141969899136 is 631998969141.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7813390 + ... + 7831538.

It is an arithmetic number, because the mean of its divisors is an integer number (3174979500).

Almost surely, 2141969899136 is an apocalyptic number.

141969899136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141969899136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203198688000).

141969899136 is an abundant number, since it is smaller than the sum of its proper divisors (264427476864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141969899136 is a wasteful number, since it uses less digits than its factorization.

141969899136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19746 (or 19734 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 66.

The spelling of 141969899136 in words is "one hundred forty-one billion, nine hundred sixty-nine million, eight hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1567 1664 2496 3134 4701 4992 6268 9402 12536 18149 18804 20371 25072 36298 37608 40742 50144 54447 61113 72596 75216 81484 100288 108894 122226 145192 150432 162968 200576 217788 235937 244452 290384 300864 325936 435576 471874 488904 580768 601728 651872 707811 871152 943748 977808 1161536 1303744 1415622 1742304 1887496 1955616 2323072 2607488 2831244 3484608 3774992 3911232 5662488 6969216 7549984 7822464 11324976 15099968 22649952 28439483 30199936 45299904 56878966 85318449 90599808 113757932 170636898 227515864 341273796 369713279 455031728 682547592 739426558 910063456 1109139837 1365095184 1478853116 1820126912 2218279674 2730190368 2957706232 3640253824 4436559348 5460380736 5915412464 8873118696 10920761472 11830824928 17746237392 23661649856 35492474784 47323299712 70984949568 141969899136