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441929742080 = 2858916092411
BaseRepresentation
bin1100110111001010001…
…00001011011100000000
31120020200211202221222012
412123211010023130000
524220033003221310
6535004132032052
743633300554011
oct6334504133400
91506624687865
10441929742080
1116046a900202
1271795462628
133289b438c08
1417564b7b008
15b767a15c05
hex66e510b700

441929742080 has 144 divisors (see below), whose sum is σ = 1071563320800. Its totient is φ = 174604615680.

The previous prime is 441929742047. The next prime is 441929742091. The reversal of 441929742080 is 80247929144.

It is a congruent number.

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, 183296075 + ... + 183298485.

It is an arithmetic number, because the mean of its divisors is an integer number (7441411950).

Almost surely, 2441929742080 is an apocalyptic number.

441929742080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441929742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535781660400).

441929742080 is an abundant number, since it is smaller than the sum of its proper divisors (629633578720).

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

441929742080 is a wasteful number, since it uses less digits than its factorization.

441929742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4116 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 441929742080 in words is "four hundred forty-one billion, nine hundred twenty-nine million, seven hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 256 320 356 445 640 712 890 1280 1424 1609 1780 2411 2848 3218 3560 4822 5696 6436 7120 8045 9644 11392 12055 12872 14240 16090 19288 22784 24110 25744 28480 32180 38576 48220 51488 56960 64360 77152 96440 102976 113920 128720 143201 154304 192880 205952 214579 257440 286402 308608 385760 411904 429158 514880 572804 617216 716005 771520 858316 1029760 1072895 1145608 1432010 1543040 1716632 2059520 2145790 2291216 2864020 3086080 3433264 3879299 4291580 4582432 5728040 6866528 7758598 8583160 9164864 11456080 13733056 15517196 17166320 18329728 19396495 22912160 27466112 31034392 34332640 36659456 38792990 45824320 54932224 62068784 68665280 77585980 91648640 124137568 137330560 155171960 183297280 248275136 274661120 310343920 345257611 496550272 620687840 690515222 993100544 1241375680 1381030444 1726288055 2482751360 2762060888 3452576110 4965502720 5524121776 6905152220 11048243552 13810304440 22096487104 27620608880 44192974208 55241217760 88385948416 110482435520 220964871040 441929742080