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441326346664 = 237219313189311
BaseRepresentation
bin1100110110000010001…
…10011010000110101000
31120012010210101022001211
412123001012122012220
524212314021043124
6534424215122504
743612323023500
oct6330106320650
91505123338054
10441326346664
11160190243305
1271647373434
13328034219c8
141750898ca00
15b72ea76e94
hex66c119a1a8

441326346664 has 96 divisors (see below), whose sum is σ = 1016491852800. Its totient is φ = 178611713280.

The previous prime is 441326346649. The next prime is 441326346697. The reversal of 441326346664 is 466643623144.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2236569 + ... + 2425879.

It is an arithmetic number, because the mean of its divisors is an integer number (10588456800).

Almost surely, 2441326346664 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 441326346664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508245926400).

441326346664 is an abundant number, since it is smaller than the sum of its proper divisors (575165506136).

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

441326346664 is a wasteful number, since it uses less digits than its factorization.

441326346664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189663 (or 189652 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 49.

The spelling of 441326346664 in words is "four hundred forty-one billion, three hundred twenty-six million, three hundred forty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 313 392 532 626 931 1064 1252 1862 2191 2504 3724 4382 5947 7448 8764 11894 15337 17528 23788 30674 41629 47576 61348 83258 122696 166516 189311 291403 333032 378622 582806 757244 1165612 1325177 1514488 2331224 2650354 3596909 5300708 7193818 9276239 10601416 14387636 18552478 25178363 28775272 37104956 50356726 59254343 74209912 100713452 118508686 176248541 201426904 237017372 352497082 414780401 474034744 704994164 829560802 1125832517 1409988328 1659121604 2251665034 2903462807 3318243208 4503330068 5806925614 7880827619 9006660136 11613851228 15761655238 23227702456 31523310476 55165793333 63046620952 110331586666 220663173332 441326346664