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40244442414144 = 263751279103157
BaseRepresentation
bin10010010011010001000111…
…01100011011110001000000
312021111022221101110020212120
421021220203230123301000
520233331104224223034
6221332012553324240
711322364541221203
oct1111504354336100
9167438841406776
1040244442414144
1111906632632861
12461b786406680
13195c05b12c7c7
149d1bacb6393a
1549bcb4b8dc49
hex249a23b1bc40

40244442414144 has 56 divisors (see below), whose sum is σ = 106621872006528. Its totient is φ = 13396951488000.

The previous prime is 40244442414131. The next prime is 40244442414161. The reversal of 40244442414144 is 44141424444204.

It is a super-2 number, since 2×402444424141442 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40244442414096 and 40244442414105.

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 7 ways as a sum of consecutive naturals, for example, 139407387 + ... + 139695770.

Almost surely, 240244442414144 is an apocalyptic number.

It is an amenable number.

40244442414144 is an abundant number, since it is smaller than the sum of its proper divisors (66377429592384).

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

40244442414144 is a wasteful number, since it uses less digits than its factorization.

40244442414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279103923 (or 279103913 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 42.

Adding to 40244442414144 its reverse (44141424444204), we get a palindrome (84385866858348).

The spelling of 40244442414144 in words is "forty trillion, two hundred forty-four billion, four hundred forty-two million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 751 1502 2253 3004 4506 6008 9012 12016 18024 24032 36048 48064 72096 144192 279103157 558206314 837309471 1116412628 1674618942 2232825256 3349237884 4465650512 6698475768 8931301024 13396951536 17862602048 26793903072 53587806144 209606470907 419212941814 628819412721 838425883628 1257638825442 1676851767256 2515277650884 3353703534512 5030555301768 6707407069024 10061110603536 13414814138048 20122221207072 40244442414144