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5005403440000 = 275471881233
BaseRepresentation
bin100100011010110100101…
…0010110100001110000000
3122201111211011122022121121
41020311221102310032000
51124002031240040000
614351241155002024
71024425364146415
oct110655122641600
918644734568547
105005403440000
11165a863829a57
1268a0b7599314
132a401369a142
1413439726610c
158a306cbab1a
hex48d694b4380

5005403440000 has 160 divisors (see below), whose sum is σ = 12636155323440. Its totient is φ = 1973959680000.

The previous prime is 5005403439997. The next prime is 5005403440097. The reversal of 5005403440000 is 443045005.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5239384 + ... + 6120616.

Almost surely, 25005403440000 is an apocalyptic number.

5005403440000 is a gapful number since it is divisible by the number (50) 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 5005403440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318077661720).

5005403440000 is an abundant number, since it is smaller than the sum of its proper divisors (7630751883440).

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

5005403440000 is an frugal number, since it uses more digits than its factorization.

5005403440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881338 (or 881311 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 5005403440000 its reverse (443045005), we get a palindrome (5005846485005).

The spelling of 5005403440000 in words is "five trillion, five billion, four hundred three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 250 284 320 355 400 500 568 625 640 710 800 1000 1136 1250 1420 1600 1775 2000 2272 2500 2840 3200 3550 4000 4544 5000 5680 7100 8000 8875 9088 10000 11360 14200 16000 17750 20000 22720 28400 35500 40000 44375 45440 56800 71000 80000 88750 113600 142000 177500 227200 284000 355000 568000 710000 881233 1136000 1420000 1762466 2840000 3524932 4406165 5680000 7049864 8812330 14099728 17624660 22030825 28199456 35249320 44061650 56398912 62567543 70498640 88123300 110154125 112797824 125135086 140997280 176246600 220308250 250270172 281994560 312837715 352493200 440616500 500540344 550770625 563989120 625675430 704986400 881233000 1001080688 1101541250 1251350860 1409972800 1564188575 1762466000 2002161376 2203082500 2502701720 2819945600 3128377150 3524932000 4004322752 4406165000 5005403440 6256754300 7049864000 7820942875 8008645504 8812330000 10010806880 12513508600 14099728000 15641885750 17624660000 20021613760 25027017200 31283771500 35249320000 39104714375 40043227520 50054034400 62567543000 70498640000 78209428750 100108068800 125135086000 156418857500 200216137600 250270172000 312837715000 500540344000 625675430000 1001080688000 1251350860000 2502701720000 5005403440000