Search a number
-
+
143233137216 = 2634132125373
BaseRepresentation
bin1000010101100101011…
…1000011101001000000
3111200201011102021020000
42011121113003221000
54321320140342331
6145444515120000
713230310402221
oct2053127035100
9450634367200
10143233137216
115582140aa74
12239145a3000
1310678663740
146d0aba1248
153ad49b80e6
hex21595c3a40

143233137216 has 140 divisors (see below), whose sum is σ = 457248711612. Its totient is φ = 44071713792.

The previous prime is 143233137209. The next prime is 143233137217. The reversal of 143233137216 is 612731332341.

143233137216 is a `hidden beast` number, since 1 + 4 + 323 + 313 + 7 + 2 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7072137216 + 136161000000 = 84096^2 + 369000^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (143233137217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 995295 + ... + 1130078.

Almost surely, 2143233137216 is an apocalyptic number.

143233137216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

143233137216 is an abundant number, since it is smaller than the sum of its proper divisors (314015574396).

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

143233137216 is a wasteful number, since it uses less digits than its factorization.

143233137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125410 (or 2125391 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

Adding to 143233137216 its reverse (612731332341), we get a palindrome (755964469557).

The spelling of 143233137216 in words is "one hundred forty-three billion, two hundred thirty-three million, one hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 2125373 4250746 6376119 8501492 12752238 17002984 19128357 25504476 27629849 34005968 38256714 51008952 55259698 57385071 68011936 76513428 82889547 102017904 110519396 114770142 136023872 153026856 165779094 172155213 204035808 221038792 229540284 248668641 306053712 331558188 344310426 408071616 442077584 459080568 497337282 612107424 663116376 688620852 746005923 884155168 918161136 994674564 1224214848 1326232752 1377241704 1492011846 1768310336 1836322272 1989349128 2238017769 2652465504 2754483408 2984023692 3672644544 3978698256 4476035538 5304931008 5508966816 5968047384 7957396512 8952071076 11017933632 11936094768 15914793024 17904142152 23872189536 35808284304 47744379072 71616568608 143233137216