Search a number
-
+
10214142301044 = 223211313727223247
BaseRepresentation
bin1001010010100010101001…
…0100101101001101110100
31100011110111010202021020100
42110220222110231031310
52314322030412113134
633420151233434100
72102642653022553
oct224505224551564
940143433667210
1010214142301044
113288880057320
12118b69b70b930
135912603bb066
1427451d569d9a
1512aa5ec58999
hex94a2a52d374

10214142301044 has 144 divisors (see below), whose sum is σ = 29082792001536. Its totient is φ = 2994532545600.

The previous prime is 10214142301009. The next prime is 10214142301087. The reversal of 10214142301044 is 44010324141201.

10214142301044 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 414 + 230 + 10 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10214142300999 and 10214142301017.

It is a congruent number.

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, 45641029 + ... + 45864275.

It is an arithmetic number, because the mean of its divisors is an integer number (201963833344).

Almost surely, 210214142301044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214142301044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541396000768).

10214142301044 is an abundant number, since it is smaller than the sum of its proper divisors (18868649700492).

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

10214142301044 is a wasteful number, since it uses less digits than its factorization.

10214142301044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227026 (or 227021 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10214142301044 its reverse (44010324141201), we get a palindrome (54224466442245).

The spelling of 10214142301044 in words is "ten trillion, two hundred fourteen billion, one hundred forty-two million, three hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 3727 4092 6138 7454 11181 12276 14908 22362 33543 40997 44724 67086 81994 115537 122991 134172 163988 223247 231074 245982 346611 368973 446494 462148 491964 669741 693222 737946 892988 1039833 1270907 1339482 1386444 1475892 2009223 2079666 2455717 2541814 2678964 3812721 4018446 4159332 4911434 5083628 6920657 7367151 7625442 8036892 9822868 11438163 13841314 14734302 15250884 20761971 22101453 22876326 27682628 29468604 41523942 44202906 45752652 62285913 76127227 83047884 88405812 124571826 152254454 228381681 249143652 304508908 456763362 685145043 832041569 913526724 1370290086 1664083138 2496124707 2740580172 3328166276 4992249414 7488374121 9152457259 9984498828 14976748242 18304914518 25793288639 27457371777 29953496484 36609829036 51586577278 54914743554 77379865917 82372115331 103173154556 109829487108 154759731834 164744230662 232139597751 283726175029 309519463668 329488461324 464279195502 567452350058 851178525087 928558391004 1134904700116 1702357050174 2553535575261 3404714100348 5107071150522 10214142301044