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1040221144928 = 25719244412863
BaseRepresentation
bin11110010001100100000…
…00110000011101100000
310200102222210121021210102
433020302000300131200
5114020333103114203
62113512045121532
7135103435562150
oct17106200603540
93612883537712
101040221144928
11371178799439
12149727b592a8
13771280c9994
14384c013c760
151c0d2882888
hexf232030760

1040221144928 has 48 divisors (see below), whose sum is σ = 2463681669120. Its totient is φ = 422345425536.

The previous prime is 1040221144927. The next prime is 1040221144961. The reversal of 1040221144928 is 8294411220401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 1040221144891 and 1040221144900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040221144927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122202176 + ... + 122210687.

It is an arithmetic number, because the mean of its divisors is an integer number (51326701440).

Almost surely, 21040221144928 is an apocalyptic number.

It is an amenable number.

1040221144928 is an abundant number, since it is smaller than the sum of its proper divisors (1423460524192).

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

1040221144928 is a wasteful number, since it uses less digits than its factorization.

1040221144928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244412899 (or 244412891 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 1040221144928 in words is "one trillion, forty billion, two hundred twenty-one million, one hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 244412863 488825726 977651452 1710890041 1955302904 3421780082 3910605808 4643844397 6843560164 7821211616 9287688794 13687120328 18575377588 27374240656 32506910779 37150755176 54748481312 65013821558 74301510352 130027643116 148603020704 260055286232 520110572464 1040221144928