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414042431302444 = 22728437198772253
BaseRepresentation
bin101111000100100011100010…
…0000010100010101100101100
32000022000001212221011120100111
41132021013010002202230230
5413232132344403134234
64024332244520105404
7153132402266402140
oct13611070402425454
92008001787146314
10414042431302444
1110aa2145545188a
123a530244605264
1314a0505917c949
147435a91131220
1532d02d91be664
hex17891c40a2b2c

414042431302444 has 48 divisors (see below), whose sum is σ = 828399106499328. Its totient is φ = 177379421825088.

The previous prime is 414042431302421. The next prime is 414042431302537. The reversal of 414042431302444 is 444203134240414.

It is a super-2 number, since 2×4140424313024442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414042431302397 and 414042431302406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5730417022 + ... + 5730489274.

It is an arithmetic number, because the mean of its divisors is an integer number (17258314718736).

Almost surely, 2414042431302444 is an apocalyptic number.

It is an amenable number.

414042431302444 is an abundant number, since it is smaller than the sum of its proper divisors (414356675196884).

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

414042431302444 is a wasteful number, since it uses less digits than its factorization.

414042431302444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147094 (or 147092 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 414042431302444 its reverse (444203134240414), we get a palindrome (858245565542858).

The spelling of 414042431302444 in words is "four hundred fourteen trillion, forty-two billion, four hundred thirty-one million, three hundred two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 2843 5686 11372 19901 39802 71987 72253 79604 143974 144506 287948 289012 503909 505771 1007818 1011542 2015636 2023084 204659041 205415279 409318082 410830558 818636164 821661116 1432613287 1437906953 2865226574 2875813906 5201276711 5730453148 5751627812 10402553422 20805106844 36408936977 72817873954 145635747908 14787229689373 29574459378746 59148918757492 103510607825611 207021215651222 414042431302444