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4042403140320 = 253252807224403
BaseRepresentation
bin111010110100110010000…
…000001101001011100000
3112022110011000200102012200
4322310302000031023200
51012212320200442240
612333015424253200
7565024342516656
oct72646200151340
915273130612180
104042403140320
111319412207596
12553540771200
132342739c60cc
14dd920b46dd6
1570243938930
hex3ad3200d2e0

4042403140320 has 72 divisors (see below), whose sum is σ = 13794700721256. Its totient is φ = 1077974170368.

The previous prime is 4042403140283. The next prime is 4042403140337. The reversal of 4042403140320 is 230413042404.

It is a happy number.

4042403140320 is a `hidden beast` number, since 4 + 0 + 4 + 24 + 0 + 314 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 1403610762 + ... + 1403613641.

It is an arithmetic number, because the mean of its divisors is an integer number (191593065573).

Almost surely, 24042403140320 is an apocalyptic number.

4042403140320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042403140320 is an abundant number, since it is smaller than the sum of its proper divisors (9752297580936).

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

4042403140320 is a wasteful number, since it uses less digits than its factorization.

4042403140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807224424 (or 2807224413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4042403140320 its reverse (230413042404), we get a palindrome (4272816182724).

The spelling of 4042403140320 in words is "four trillion, forty-two billion, four hundred three million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2807224403 5614448806 8421673209 11228897612 14036122015 16843346418 22457795224 25265019627 28072244030 33686692836 42108366045 44915590448 50530039254 56144488060 67373385672 84216732090 89831180896 101060078508 112288976120 126325098135 134746771344 168433464180 202120157016 224577952240 252650196270 269493542688 336866928360 404240314032 449155904480 505300392540 673733856720 808480628064 1010600785080 1347467713440 2021201570160 4042403140320