Search a number
-
+
200100442140 = 223251995586277
BaseRepresentation
bin1011101001011011101…
…0100111000000011100
3201010111100021200012200
42322112322213000130
511234301203122030
6231531434531500
720312450460144
oct2722672470034
9633440250180
10200100442140
1177953534935
1232945296b90
1315b3c088cb1
149983589924
1553121b4d60
hex2e96ea701c

200100442140 has 72 divisors (see below), whose sum is σ = 610021557600. Its totient is φ = 53091967104.

The previous prime is 200100442111. The next prime is 200100442159. The reversal of 200100442140 is 41244001002.

200100442140 is a `hidden beast` number, since 200 + 1 + 0 + 0 + 4 + 421 + 40 = 666.

200100442140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 2757319 + ... + 2828958.

Almost surely, 2200100442140 is an apocalyptic number.

200100442140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100442140 is an abundant number, since it is smaller than the sum of its proper divisors (409921115460).

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

200100442140 is a wasteful number, since it uses less digits than its factorization.

200100442140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586491 (or 5586486 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200100442140 its reverse (41244001002), we get a palindrome (241344443142).

The spelling of 200100442140 in words is "two hundred billion, one hundred million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 199 398 597 796 995 1194 1791 1990 2388 2985 3582 3980 5970 7164 8955 11940 17910 35820 5586277 11172554 16758831 22345108 27931385 33517662 50276493 55862770 67035324 83794155 100552986 111725540 167588310 201105972 251382465 335176620 502764930 1005529860 1111669123 2223338246 3335007369 4446676492 5558345615 6670014738 10005022107 11116691230 13340029476 16675036845 20010044214 22233382460 33350073690 40020088428 50025110535 66700147380 100050221070 200100442140