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1012341455040 = 26351054522349
BaseRepresentation
bin11101011101101000100…
…00001011100011000000
310120210000211001022002110
432232310100023203000
5113041233403030130
62053021354415320
7133065523250346
oct16566420134300
93523024038073
101012341455040
113603713a5813
12144247131540
13746040b4066
1436dd7549996
151b4eee83ab0
hexebb440b8c0

1012341455040 has 56 divisors (see below), whose sum is σ = 3214184122800. Its totient is φ = 269957721088.

The previous prime is 1012341454979. The next prime is 1012341455071. The reversal of 1012341455040 is 405541432101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1012341454989 and 1012341455007.

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 7 ways as a sum of consecutive naturals, for example, 527260215 + ... + 527262134.

It is an arithmetic number, because the mean of its divisors is an integer number (57396145050).

Almost surely, 21012341455040 is an apocalyptic number.

1012341455040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012341455040 is an abundant number, since it is smaller than the sum of its proper divisors (2201842667760).

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

1012341455040 is a wasteful number, since it uses less digits than its factorization.

1012341455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054522369 (or 1054522359 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1012341455040 its reverse (405541432101), we get a palindrome (1417882887141).

The spelling of 1012341455040 in words is "one trillion, twelve billion, three hundred forty-one million, four hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1054522349 2109044698 3163567047 4218089396 5272611745 6327134094 8436178792 10545223490 12654268188 15817835235 16872357584 21090446980 25308536376 31635670470 33744715168 42180893960 50617072752 63271340940 67489430336 84361787920 101234145504 126542681880 168723575840 202468291008 253085363760 337447151680 506170727520 1012341455040