Search a number
-
+
42114414430044 = 2232114719711486071
BaseRepresentation
bin10011001001101100001101…
…01101100100011101011100
312112010002122221201010020200
421210312012231210131130
521010000310043230134
6225323032255343500
711604444310130505
oct1144660655443534
9175102587633220
1042114414430044
1112467694030660
124882080221b90
131a664aba71ac8
14a584c4541bac
154d075c62b499
hex264d86b6475c

42114414430044 has 144 divisors (see below), whose sum is σ = 119206682090496. Its totient is φ = 12427008854400.

The previous prime is 42114414430027. The next prime is 42114414430063. The reversal of 42114414430044 is 44003441441124.

42114414430044 is a `hidden beast` number, since 4 + 211 + 4 + 4 + 1 + 4 + 430 + 0 + 4 + 4 = 666.

42114414430044 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 42114414429990 and 42114414430008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076472 + ... + 9409599.

It is an arithmetic number, because the mean of its divisors is an integer number (827824181184).

Almost surely, 242114414430044 is an apocalyptic number.

42114414430044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42114414430044 is an abundant number, since it is smaller than the sum of its proper divisors (77092267660452).

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

42114414430044 is a wasteful number, since it uses less digits than its factorization.

42114414430044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486336 (or 11486331 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 42114414430044 its reverse (44003441441124), we get a palindrome (86117855871168).

The spelling of 42114414430044 in words is "forty-two trillion, one hundred fourteen billion, four hundred fourteen million, four hundred thirty thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 197 198 282 394 396 423 517 564 591 788 846 1034 1182 1551 1692 1773 2068 2167 2364 3102 3546 4334 4653 6204 6501 7092 8668 9259 9306 13002 18518 18612 19503 26004 27777 37036 39006 55554 78012 83331 101849 111108 166662 203698 305547 333324 407396 611094 916641 1222188 1833282 3666564 11486071 22972142 34458213 45944284 68916426 103374639 126346781 137832852 206749278 252693562 379040343 413498556 505387124 539845337 758080686 1079690674 1137121029 1516161372 1619536011 2159381348 2262755987 2274242058 3239072022 4525511974 4548484116 4858608033 5938298707 6478144044 6788267961 9051023948 9717216066 11876597414 13576535922 17814896121 19434432132 20364803883 23753194828 24890315857 27153071844 35629792242 40729607766 49780631714 53444688363 71259584484 74670947571 81459215532 99561263428 106349531389 106889376726 149341895142 212699062778 213778753452 224012842713 298683790284 319048594167 425398125556 448025685426 638097188334 896051370852 957145782501 1169844845279 1276194376668 1914291565002 2339689690558 3509534535837 3828583130004 4679379381116 7019069071674 10528603607511 14038138143348 21057207215022 42114414430044