Search a number
-
+
40424110641280 = 275411540552997
BaseRepresentation
bin10010011000011111110001…
…10000010101000010000000
312022010111200202220212022101
421030033320300111002000
520244302034311010110
6221550325143120144
711341355101030402
oct1114177060250200
9168114622825271
1040424110641280
111197585066a093
12464a568a43054
131972c92100342
149da774878b72
154a17cd1ae13a
hex24c3f8c15080

40424110641280 has 64 divisors (see below), whose sum is σ = 98995935651480. Its totient is φ = 15775262679040.

The previous prime is 40424110641209. The next prime is 40424110641283. The reversal of 40424110641280 is 8214601142404.

It can be written as a sum of positive squares in 4 ways, for example, as 22274397619776 + 18149713021504 = 4719576^2 + 4260248^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×404241106412802 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40424110641283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 770250259 + ... + 770302738.

Almost surely, 240424110641280 is an apocalyptic number.

40424110641280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40424110641280 is an abundant number, since it is smaller than the sum of its proper divisors (58571825010200).

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

40424110641280 is a wasteful number, since it uses less digits than its factorization.

40424110641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540553057 (or 1540553045 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

Adding to 40424110641280 its reverse (8214601142404), we get a palindrome (48638711783684).

The spelling of 40424110641280 in words is "forty trillion, four hundred twenty-four billion, one hundred ten million, six hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 1540552997 3081105994 6162211988 7702764985 12324423976 15405529970 24648847952 30811059940 49297695904 61622119880 63162672877 98595391808 123244239760 126325345754 197190783616 246488479520 252650691508 315813364385 492976959040 505301383016 631626728770 985953918080 1010602766032 1263253457540 2021205532064 2526506915080 4042411064128 5053013830160 8084822128256 10106027660320 20212055320640 40424110641280