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441230124432 = 24319241621059
BaseRepresentation
bin1100110101110110101…
…11010110010110010000
31120011220002022200222110
412122323113112112100
524212114402440212
6534410500505320
743610044114266
oct6327327262620
91504802280873
10441230124432
111601409a20a9
127161b0ab240
13327b9501886
14174d9ca2436
15b7263bba3c
hex66bb5d6590

441230124432 has 120 divisors (see below), whose sum is σ = 1232337062880. Its totient is φ = 135937175040.

The previous prime is 441230124427. The next prime is 441230124443. The reversal of 441230124432 is 234421032144.

It is a self number, because there is not a number n which added to its sum of digits gives 441230124432.

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, 399919 + ... + 1020977.

It is an arithmetic number, because the mean of its divisors is an integer number (10269475524).

Almost surely, 2441230124432 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 441230124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616168531440).

441230124432 is an abundant number, since it is smaller than the sum of its proper divisors (791106938448).

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

441230124432 is a wasteful number, since it uses less digits than its factorization.

441230124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621149 (or 621124 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 441230124432 its reverse (234421032144), we get a palindrome (675651156576).

The spelling of 441230124432 in words is "four hundred forty-one billion, two hundred thirty million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 228 246 304 328 361 456 492 656 722 779 912 984 1083 1444 1558 1968 2166 2337 2888 3116 4332 4674 5776 6232 8664 9348 12464 14801 17328 18696 29602 37392 44403 59204 88806 118408 177612 236816 355224 621059 710448 1242118 1863177 2484236 3726354 4968472 7452708 9936944 11800121 14905416 23600242 25463419 29810832 35400363 47200484 50926838 70800726 76390257 94400968 101853676 141601452 152780514 188801936 203707352 224202299 283202904 305561028 407414704 448404598 483804961 566405808 611122056 672606897 896809196 967609922 1222244112 1345213794 1451414883 1793618392 1935219844 2690427588 2902829766 3587236784 3870439688 5380855176 5805659532 7740879376 9192294259 10761710352 11611319064 18384588518 23222638128 27576882777 36769177036 55153765554 73538354072 110307531108 147076708144 220615062216 441230124432