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104320040344 = 231323531974177
BaseRepresentation
bin110000100100111110…
…1010111110110011000
3100222021020120010111221
41201021331113312120
53202121412242334
6115531324301424
710352101466212
oct1411175276630
9328236503457
10104320040344
1140272a41383
12182746a1874
139ab6827830
145098ac35b2
152aa862b8b4
hex1849f57d98

104320040344 has 128 divisors (see below), whose sum is σ = 225142727040. Its totient is φ = 44945252352.

The previous prime is 104320040299. The next prime is 104320040399. The reversal of 104320040344 is 443040023401.

104320040344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24972784 + ... + 24976960.

It is an arithmetic number, because the mean of its divisors is an integer number (1758927555).

Almost surely, 2104320040344 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 104320040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112571363520).

104320040344 is an abundant number, since it is smaller than the sum of its proper divisors (120822686696).

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

104320040344 is a wasteful number, since it uses less digits than its factorization.

104320040344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 104320040344 its reverse (443040023401), we get a palindrome (547360063745).

The spelling of 104320040344 in words is "one hundred four billion, three hundred twenty million, forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 23 26 46 52 53 92 104 106 184 197 212 299 394 424 598 689 788 1196 1219 1378 1576 2392 2438 2561 2756 4177 4531 4876 5122 5512 8354 9062 9752 10244 10441 15847 16708 18124 20488 20882 31694 33416 36248 41764 54301 58903 63388 83528 96071 108602 117806 126776 135733 192142 217204 221381 235612 240143 271466 384284 434408 442762 471224 480286 542932 768568 822869 885524 960572 1085864 1248923 1645738 1771048 1921144 2497846 2877953 3121859 3291476 4995692 5091763 5755906 6243718 6582952 9991384 10183526 10697297 11511812 12487436 18925987 20367052 21394594 23023624 24974872 37851974 40734104 42789188 43612057 66192919 75703948 85578376 87224114 132385838 151407896 174448228 246037831 264771676 348896456 492075662 529543352 566956741 984151324 1003077311 1133913482 1968302648 2006154622 2267826964 4012309244 4535653928 8024618488 13040005043 26080010086 52160020172 104320040344