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104443000320 = 293573318553
BaseRepresentation
bin110000101000101001…
…0011011011000000000
3100222120210221010220010
41201101102123120000
53202344402002240
6115551435544520
710355123566131
oct1412122333000
9328523833803
10104443000320
1140326394a9a
12182a98bb140
139b06149b09
1450ab16dc88
152ab4319280
hex185149b600

104443000320 has 160 divisors (see below), whose sum is σ = 334364751072. Its totient is φ = 27811971072.

The previous prime is 104443000309. The next prime is 104443000327. The reversal of 104443000320 is 23000344401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104443000327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5620164 + ... + 5638716.

Almost surely, 2104443000320 is an apocalyptic number.

104443000320 is a gapful number since it is divisible by the number (10) 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 104443000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167182375536).

104443000320 is an abundant number, since it is smaller than the sum of its proper divisors (229921750752).

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

104443000320 is an equidigital number, since it uses as much as digits as its factorization.

104443000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19312 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 104443000320 its reverse (23000344401), we get a palindrome (127443344721).

The spelling of 104443000320 in words is "one hundred four billion, four hundred forty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 733 768 960 1280 1466 1536 1920 2199 2560 2932 3665 3840 4398 5864 7330 7680 8796 10995 11728 14660 17592 18553 21990 23456 29320 35184 37106 43980 46912 55659 58640 70368 74212 87960 92765 93824 111318 117280 140736 148424 175920 185530 187648 222636 234560 278295 281472 296848 351840 371060 375296 445272 469120 556590 562944 593696 703680 742120 890544 938240 1113180 1125888 1187392 1407360 1484240 1781088 1876480 2226360 2374784 2814720 2968480 3562176 4452720 4749568 5629440 5936960 7124352 8905440 9499136 11873920 13599349 14248704 17810880 23747840 27198698 28497408 35621760 40798047 47495680 54397396 67996745 71243520 81596094 108794792 135993490 142487040 163192188 203990235 217589584 271986980 326384376 407980470 435179168 543973960 652768752 815960940 870358336 1087947920 1305537504 1631921880 1740716672 2175895840 2611075008 3263843760 3481433344 4351791680 5222150016 6527687520 6962866688 8703583360 10444300032 13055375040 17407166720 20888600064 26110750080 34814333440 52221500160 104443000320