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2414321403444 = 2232210403318743
BaseRepresentation
bin100011001000100000110…
…001010000011000110100
322112210210012122220011200
4203020200301100120310
5304024012234402234
65045042434332500
7336300064216626
oct43104061203064
98483705586150
102414321403444
118509a95445a5
1232bab342a130
13146891c64522
1484bd4ab0c16
1542c06d44d99
hex23220c50634

2414321403444 has 36 divisors (see below), whose sum is σ = 6102916144416. Its totient is φ = 804767451408.

The previous prime is 2414321403407. The next prime is 2414321403467. The reversal of 2414321403444 is 4443041234142.

2414321403444 is a `hidden beast` number, since 2 + 41 + 4 + 32 + 140 + 3 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24143214034442 (a number of 26 digits) contains 22 as substring.

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 = 2414321403399 and 2414321403408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7415137 + ... + 7733879.

It is an arithmetic number, because the mean of its divisors is an integer number (169525448456).

Almost surely, 22414321403444 is an apocalyptic number.

It is an amenable number.

2414321403444 is an abundant number, since it is smaller than the sum of its proper divisors (3688594740972).

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

2414321403444 is a wasteful number, since it uses less digits than its factorization.

2414321403444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529156 (or 529151 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 2414321403444 its reverse (4443041234142), we get a palindrome (6857362637586).

The spelling of 2414321403444 in words is "two trillion, four hundred fourteen billion, three hundred twenty-one million, four hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 210403 318743 420806 631209 637486 841612 956229 1262418 1274972 1893627 1912458 2524836 2868687 3787254 3824916 5737374 7574508 11474748 67064483429 134128966858 201193450287 268257933716 402386900574 603580350861 804773801148 1207160701722 2414321403444