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40441284128 = 257274165867
BaseRepresentation
bin100101101010011111…
…010000011000100000
310212101102102002112002
4211222133100120200
51130310432043003
630324541023132
72631113146310
oct455237203040
9125342362462
1040441284128
1116173061373
127a07854aa8
133a7661a02b
141d5903b440
1510ba602a88
hex96a7d0620

40441284128 has 48 divisors (see below), whose sum is σ = 91027468224. Its totient is φ = 17325392640.

The previous prime is 40441284113. The next prime is 40441284151. The reversal of 40441284128 is 82148214404.

It is a junction number, because it is equal to n+sod(n) for n = 40441284091 and 40441284100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581051 + ... + 646917.

It is an arithmetic number, because the mean of its divisors is an integer number (1896405588).

Almost surely, 240441284128 is an apocalyptic number.

It is an amenable number.

40441284128 is an abundant number, since it is smaller than the sum of its proper divisors (50586184096).

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

40441284128 is a wasteful number, since it uses less digits than its factorization.

40441284128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68625 (or 68617 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The spelling of 40441284128 in words is "forty billion, four hundred forty-one million, two hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 2741 5482 10964 19187 21928 38374 43856 65867 76748 87712 131734 153496 263468 306992 461069 526936 613984 922138 1053872 1844276 2107744 3688552 7377104 14754208 180541447 361082894 722165788 1263790129 1444331576 2527580258 2888663152 5055160516 5777326304 10110321032 20220642064 40441284128