Search a number
-
+
141134367001100 = 2252111722259339067
BaseRepresentation
bin100000000101110001100111…
…110011111000101000001100
3200111201022110200212212000112
4200011301213303320220030
5121444321140423013400
61220100122204415152
741504423116512104
oct4005614763705014
9614638420785015
10141134367001100
1140a73826896890
12139b4951b474b8
136099bb552ba85
1426bcd22ba8204
15114b367182835
hex805c67cf8a0c

141134367001100 has 144 divisors (see below), whose sum is σ = 353773623288960. Its totient is φ = 48300358579200.

The previous prime is 141134367001087. The next prime is 141134367001129. The reversal of 141134367001100 is 1100763431141.

141134367001100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416073767 + ... + 416412833.

It is an arithmetic number, because the mean of its divisors is an integer number (2456761272840).

Almost surely, 2141134367001100 is an apocalyptic number.

141134367001100 is a gapful number since it is divisible by the number (10) 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 141134367001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176886811644480).

141134367001100 is an abundant number, since it is smaller than the sum of its proper divisors (212639256287860).

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

141134367001100 is a wasteful number, since it uses less digits than its factorization.

141134367001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361368 (or 361361 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 141134367001100 in words is "one hundred forty-one trillion, one hundred thirty-four billion, three hundred sixty-seven million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 22259 44518 89036 111295 222590 244849 339067 378403 445180 489698 556475 678134 756806 979396 1112950 1224245 1356268 1513612 1695335 1892015 2225900 2448490 3390670 3729737 3784030 4162433 4896980 5764139 6121225 6781340 7459474 7568060 8324866 8476675 9460075 11528278 12242450 14918948 16649732 16953350 18648685 18920150 20812165 23056556 24484900 28820695 33906700 37297370 37840300 41624330 57641390 63405529 74594740 83248660 93243425 104060825 115282780 126811058 144103475 186486850 208121650 253622116 288206950 317027645 372973700 416243300 576413900 634055290 1268110580 1585138225 3170276450 6340552900 7547292353 15094584706 30189169412 37736461765 75472923530 83020215883 128303970001 150945847060 166040431766 188682308825 256607940002 332080863532 377364617650 415101079415 513215880004 641519850005 754729235300 830202158830 1283039700010 1411343670011 1660404317660 2075505397075 2566079400020 2822687340022 3207599250025 4151010794150 5645374680044 6415198500050 7056718350055 8302021588300 12830397000100 14113436700110 28226873400220 35283591750275 70567183500550 141134367001100