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44102144034 = 23413109192121
BaseRepresentation
bin101001000100101100…
…010101000000100010
311012211112222001020000
4221010230111000202
51210310122102114
632132114000430
73120615016254
oct510454250042
9135745861200
1044102144034
1117781568623
128669876116
13420abb8620
1421c530dcd4
151231bd6e09
hexa44b15022

44102144034 has 80 divisors (see below), whose sum is σ = 107400040440. Its totient is φ = 13445326080.

The previous prime is 44102144011. The next prime is 44102144113. The reversal of 44102144034 is 43044120144.

44102144034 is a `hidden beast` number, since 4 + 41 + 0 + 214 + 403 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42414166809 + 1687977225 = 205947^2 + 41085^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44102143989 and 44102144007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133494 + ... + 325614.

Almost surely, 244102144034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44102144034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53700020220).

44102144034 is an abundant number, since it is smaller than the sum of its proper divisors (63297896406).

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

44102144034 is a wasteful number, since it uses less digits than its factorization.

44102144034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192257 (or 192248 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44102144034 its reverse (43044120144), we get a palindrome (87146264178).

The spelling of 44102144034 in words is "forty-four billion, one hundred two million, one hundred forty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 109 117 162 218 234 327 351 654 702 981 1053 1417 1962 2106 2834 2943 4251 5886 8502 8829 12753 17658 25506 38259 76518 114777 192121 229554 384242 576363 1152726 1729089 2497573 3458178 4995146 5187267 7492719 10374534 14985438 15561801 20941189 22478157 31123602 41882378 44956314 62823567 67434471 125647134 134868942 188470701 202303413 272235457 376941402 404606826 544470914 565412103 816706371 1130824206 1633412742 1696236309 2450119113 3392472618 4900238226 7350357339 14700714678 22051072017 44102144034