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441230334432 = 25323247184859
BaseRepresentation
bin1100110101110110110…
…00001001100111100000
31120011220002201101001020
412122323120021213200
524212114431200212
6534410505205440
743610045650446
oct6327330114740
91504802641036
10441230334432
11160141025958
127161b190880
13327b9576334
14174d9d18b96
15b72640dd8c
hex66bb6099e0

441230334432 has 144 divisors (see below), whose sum is σ = 1236544807680. Its totient is φ = 137688153856.

The previous prime is 441230334379. The next prime is 441230334481. The reversal of 441230334432 is 234433032144.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 441230334393 and 441230334402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2294419 + ... + 2479277.

It is an arithmetic number, because the mean of its divisors is an integer number (8587116720).

Almost surely, 2441230334432 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 441230334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618272403840).

441230334432 is an abundant number, since it is smaller than the sum of its proper divisors (795314473248).

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

441230334432 is a wasteful number, since it uses less digits than its factorization.

441230334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184965 (or 184934 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 441230334432 its reverse (234433032144), we get a palindrome (675663366576).

The spelling of 441230334432 in words is "four hundred forty-one billion, two hundred thirty million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 529 552 564 736 752 1058 1081 1104 1128 1504 1587 2116 2162 2208 2256 3174 3243 4232 4324 4512 6348 6486 8464 8648 12696 12972 16928 17296 24863 25392 25944 34592 49726 50784 51888 74589 99452 103776 149178 184859 198904 298356 369718 397808 554577 596712 739436 795616 1109154 1193424 1478872 2218308 2386848 2957744 4251757 4436616 5915488 8503514 8688373 8873232 12755271 17007028 17376746 17746464 25510542 26065119 34014056 34753492 51021084 52130238 68028112 69506984 97790411 102042168 104260476 136056224 139013968 195580822 199832579 204084336 208520952 278027936 293371233 391161644 399665158 408168672 417041904 586742466 599497737 782323288 799330316 834083808 1173484932 1198995474 1564646576 1598660632 2346969864 2397990948 3129293152 3197321264 4596149317 4693939728 4795981896 6394642528 9192298634 9387879456 9591963792 13788447951 18384597268 19183927584 27576895902 36769194536 55153791804 73538389072 110307583608 147076778144 220615167216 441230334432