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4430240110242 = 2331719503504967
BaseRepresentation
bin100000001110111111011…
…1000110101011010100010
3120200112020001100211122000
41000131332320311122202
51040041112432011432
613231120232424430
7635034323414622
oct100357670653242
916615201324560
104430240110242
111458944056411
125b673a548116
13261a0148ac1b
141145d37b0882
157a39260b57c
hex4077ee356a2

4430240110242 has 128 divisors (see below), whose sum is σ = 10994567270400. Its totient is φ = 1314107359488.

The previous prime is 4430240110211. The next prime is 4430240110243. The reversal of 4430240110242 is 2420110420344.

4430240110242 is a `hidden beast` number, since 4 + 4 + 3 + 0 + 2 + 401 + 10 + 242 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4430240110243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8520843 + ... + 9025809.

It is an arithmetic number, because the mean of its divisors is an integer number (85895056800).

Almost surely, 24430240110242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4430240110242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497283635200).

4430240110242 is an abundant number, since it is smaller than the sum of its proper divisors (6564327160158).

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

4430240110242 is a wasteful number, since it uses less digits than its factorization.

4430240110242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505517 (or 505511 counting only the distinct ones).

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

Adding to 4430240110242 its reverse (2420110420344), we get a palindrome (6850350530586).

The spelling of 4430240110242 in words is "four trillion, four hundred thirty billion, two hundred forty million, one hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 102 114 153 171 306 323 342 459 503 513 646 918 969 1006 1026 1509 1938 2907 3018 4527 5814 8551 8721 9054 9557 13581 17102 17442 19114 25653 27162 28671 51306 57342 76959 86013 153918 162469 172026 230877 258039 324938 461754 487407 504967 516078 974814 1009934 1462221 1514901 2924442 3029802 4386663 4544703 8584439 8773326 9089406 9594373 13634109 17168878 19188746 25753317 27268218 28783119 51506634 57566238 77259951 86349357 154519902 163104341 172698714 231779853 253998401 259048071 326208682 463559706 489313023 507996802 518096142 761995203 978626046 1467939069 1523990406 2285985609 2935878138 4317972817 4403817207 4571971218 4825969619 6857956827 8635945634 8807634414 9651939238 12953918451 13715913654 14477908857 25907836902 28955817714 38861755353 43433726571 77723510706 82041483523 86867453142 116585266059 130301179713 164082967046 233170532118 246124450569 260602359426 492248901138 738373351707 1476746703414 2215120055121 4430240110242