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34411314444 = 22313277796337
BaseRepresentation
bin100000000011000100…
…101111110100001100
310021211011221220011120
4200003010233310030
51030433244030234
623450333520540
72325513226623
oct400304576414
9107734856146
1034411314444
1113659320951
126804343150
13332528a030
14194626a6ba
15d6604a049
hex80312fd0c

34411314444 has 48 divisors (see below), whose sum is σ = 86781729888. Its totient is φ = 10549859328.

The previous prime is 34411314419. The next prime is 34411314463. The reversal of 34411314444 is 44441311443.

It is a nude number because it is divisible by every one of its digits.

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, 354957 + ... + 441380.

It is an arithmetic number, because the mean of its divisors is an integer number (1807952706).

Almost surely, 234411314444 is an apocalyptic number.

It is an amenable number.

34411314444 is an abundant number, since it is smaller than the sum of its proper divisors (52370415444).

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

34411314444 is a wasteful number, since it uses less digits than its factorization.

34411314444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796634 (or 796632 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 34411314444 its reverse (44441311443), we get a palindrome (78852625887).

The spelling of 34411314444 in words is "thirty-four billion, four hundred eleven million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 277 554 831 1108 1662 3324 3601 7202 10803 14404 21606 43212 796337 1592674 2389011 3185348 4778022 9556044 10352381 20704762 31057143 41409524 62114286 124228572 220585349 441170698 661756047 882341396 1323512094 2647024188 2867609537 5735219074 8602828611 11470438148 17205657222 34411314444