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344414144421 = 33311277322229
BaseRepresentation
bin1010000001100001010…
…11101100011110100101
31012220222210222100001000
411000300223230132211
521120330010110141
6422115514223513
733611621632014
oct5006053543645
91186883870030
10344414144421
11123079895386
12568bb724b99
132662a557239
1412953a6aa7b
158e5b9755b6
hex5030aec7a5

344414144421 has 32 divisors (see below), whose sum is σ = 527116723200. Its totient is φ = 222027981120.

The previous prime is 344414144381. The next prime is 344414144443. The reversal of 344414144421 is 124441414443.

344414144421 is a `hidden beast` number, since 34 + 44 + 141 + 4 + 442 + 1 = 666.

It is not a de Polignac number, because 344414144421 - 26 = 344414144357 is a prime.

It is a super-3 number, since 3×3444141444213 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344414144471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907735 + ... + 1229963.

It is an arithmetic number, because the mean of its divisors is an integer number (16472397600).

Almost surely, 2344414144421 is an apocalyptic number.

344414144421 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

344414144421 is a deficient number, since it is larger than the sum of its proper divisors (182702578779).

344414144421 is a wasteful number, since it uses less digits than its factorization.

344414144421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323546 (or 323540 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 344414144421 its reverse (124441414443), we get a palindrome (468855558864).

It can be divided in two parts, 34441414442 and 1, that added together give a palindrome (34441414443).

The spelling of 344414144421 in words is "three hundred forty-four billion, four hundred fourteen million, one hundred forty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 27 31 93 279 837 1277 3831 11493 34479 39587 118761 322229 356283 966687 1068849 2900061 8700183 9989099 29967297 89901891 269705673 411486433 1234459299 3703377897 11110133691 12756079423 38268238269 114804714807 344414144421