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42445200443280 = 2435222797938193
BaseRepresentation
bin10011010011010100010110…
…00110000100011110010000
312120021201110222221122211020
421221222023012010132100
521030410232303141110
6230135020023515440
711640364430632605
oct1151521306043620
9176251428848736
1042445200443280
11125849aa1192a8
1249161b78b8b80
131a8b746a5c29b
14a6a5042566ac
154d916c926d70
hex269a8b184790

42445200443280 has 80 divisors (see below), whose sum is σ = 131586043966080. Its totient is φ = 11318210648064.

The previous prime is 42445200443267. The next prime is 42445200443291. The reversal of 42445200443280 is 8234400254424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 1377864 + ... + 9316056.

It is an arithmetic number, because the mean of its divisors is an integer number (1644825549576).

Almost surely, 242445200443280 is an apocalyptic number.

42445200443280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42445200443280 is an abundant number, since it is smaller than the sum of its proper divisors (89140843522800).

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

42445200443280 is a wasteful number, since it uses less digits than its factorization.

42445200443280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960488 (or 7960482 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 42.

The spelling of 42445200443280 in words is "forty-two trillion, four hundred forty-five billion, two hundred million, four hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 22279 44558 66837 89116 111395 133674 178232 222790 267348 334185 356464 445580 534696 668370 891160 1069392 1336740 1782320 2673480 5346960 7938193 15876386 23814579 31752772 39690965 47629158 63505544 79381930 95258316 119072895 127011088 158763860 190516632 238145790 317527720 381033264 476291580 635055440 952583160 1905166320 176855001847 353710003694 530565005541 707420007388 884275009235 1061130011082 1414840014776 1768550018470 2122260022164 2652825027705 2829680029552 3537100036940 4244520044328 5305650055410 7074200073880 8489040088656 10611300110820 14148400147760 21222600221640 42445200443280