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341411314144 = 2529761483443
BaseRepresentation
bin1001111011111011011…
…00110011100111100000
31012122020112121202021211
410331331230303213200
521043202244023034
6420501525155504
733444330200545
oct4757554634740
91178215552254
10341411314144
1112187887156a
1256201b5bb94
132626c3c16a4
141274ad28bcc
158d33022d64
hex4f7db339e0

341411314144 has 48 divisors (see below), whose sum is σ = 696246379920. Its totient is φ = 164602332160.

The previous prime is 341411314133. The next prime is 341411314151. The reversal of 341411314144 is 441413114143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464487 + ... + 947929.

It is an arithmetic number, because the mean of its divisors is an integer number (14505132915).

Almost surely, 2341411314144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341411314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348123189960).

341411314144 is an abundant number, since it is smaller than the sum of its proper divisors (354835065776).

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

341411314144 is a wasteful number, since it uses less digits than its factorization.

341411314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484243 (or 484235 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

Adding to 341411314144 its reverse (441413114143), we get a palindrome (782824428287).

The spelling of 341411314144 in words is "three hundred forty-one billion, four hundred eleven million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 761 928 1522 3044 6088 12176 22069 24352 44138 88276 176552 353104 483443 706208 966886 1933772 3867544 7735088 14019847 15470176 28039694 56079388 112158776 224317552 367900123 448635104 735800246 1471600492 2943200984 5886401968 10669103567 11772803936 21338207134 42676414268 85352828536 170705657072 341411314144