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1040451120144 = 24332408451667
BaseRepresentation
bin11110010001111111011…
…10000010110000010000
310200110120211100020111000
433020333232002300100
5114021320441321034
62113550542222000
7135112230412632
oct17107756026020
93613524306430
101040451120144
113712865951a7
12149790b84900
137716394a8a7
14385028c4a52
151c0e7b5d599
hexf23fb82c10

1040451120144 has 40 divisors (see below), whose sum is σ = 2986480068320. Its totient is φ = 346817039904.

The previous prime is 1040451120133. The next prime is 1040451120179. The reversal of 1040451120144 is 4410211540401.

It is a happy number.

1040451120144 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 511 + 2 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1204225402 + ... + 1204226265.

It is an arithmetic number, because the mean of its divisors is an integer number (74662001708).

Almost surely, 21040451120144 is an apocalyptic number.

It is an amenable number.

1040451120144 is an abundant number, since it is smaller than the sum of its proper divisors (1946028948176).

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

1040451120144 is a wasteful number, since it uses less digits than its factorization.

1040451120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408451684 (or 2408451672 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1040451120144 its reverse (4410211540401), we get a palindrome (5450662660545).

The spelling of 1040451120144 in words is "one trillion, forty billion, four hundred fifty-one million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2408451667 4816903334 7225355001 9633806668 14450710002 19267613336 21676065003 28901420004 38535226672 43352130006 57802840008 65028195009 86704260012 115605680016 130056390018 173408520024 260112780036 346817040048 520225560072 1040451120144