Search a number
-
+
2140112433200 = 24527799675011
BaseRepresentation
bin11111001001001000101…
…001000011000000110000
321120121000010002221001212
4133021020221003000300
5240030422240330300
64315053140415252
7310421660351660
oct37111051030060
97517003087055
102140112433200
11755686748725
122a69273a7528
13126a72501091
1475820dc81a0
153aa08a0c935
hex1f248a43030

2140112433200 has 120 divisors (see below), whose sum is σ = 5950519380480. Its totient is φ = 724464748800.

The previous prime is 2140112432993. The next prime is 2140112433209. The reversal of 2140112433200 is 23342110412.

It is not an unprimeable number, because it can be changed into a prime (2140112433209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4616306 + ... + 5058705.

It is an arithmetic number, because the mean of its divisors is an integer number (49587661504).

Almost surely, 22140112433200 is an apocalyptic number.

2140112433200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140112433200 is an abundant number, since it is smaller than the sum of its proper divisors (3810406947280).

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

2140112433200 is a wasteful number, since it uses less digits than its factorization.

2140112433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675115 (or 9675104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2140112433200 its reverse (23342110412), we get a palindrome (2163454543612).

The spelling of 2140112433200 in words is "two trillion, one hundred forty billion, one hundred twelve million, four hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 79 80 100 112 140 158 175 200 280 316 350 395 400 553 560 632 700 790 1106 1264 1400 1580 1975 2212 2765 2800 3160 3950 4424 5530 6320 7900 8848 11060 13825 15800 22120 27650 31600 44240 55300 110600 221200 9675011 19350022 38700044 48375055 67725077 77400088 96750110 135450154 154800176 193500220 241875275 270900308 338625385 387000440 483750550 541800616 677250770 764325869 774000880 967501100 1083601232 1354501540 1528651738 1693126925 1935002200 2709003080 3057303476 3386253850 3821629345 3870004400 5350281083 5418006160 6114606952 6772507700 7643258690 10700562166 12229213904 13545015400 15286517380 19108146725 21401124332 26751405415 27090030800 30573034760 38216293450 42802248664 53502810830 61146069520 76432586900 85604497328 107005621660 133757027075 152865173800 214011243320 267514054150 305730347600 428022486640 535028108300 1070056216600 2140112433200