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44406060444 = 223219611064281
BaseRepresentation
bin101001010110110011…
…101011010110011100
311020121201211121011100
4221112303223112130
51211420422413234
632222211553100
73131265200034
oct512663532634
9136551747140
1044406060444
1117918077509
1287335bb790
134258b57c15
1422138228c4
15124d71b399
hexa56ceb59c

44406060444 has 72 divisors (see below), whose sum is σ = 120093580880. Its totient is φ = 13793068800.

The previous prime is 44406060443. The next prime is 44406060467.

44406060444 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 6 + 0 + 604 + 44 = 666.

44406060444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44406060399 and 44406060408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44406060443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490417 + ... + 573864.

Almost surely, 244406060444 is an apocalyptic number.

It is an amenable number.

44406060444 is an abundant number, since it is smaller than the sum of its proper divisors (75687520436).

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

44406060444 is a wasteful number, since it uses less digits than its factorization.

44406060444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064371 (or 1064366 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 44406060444 in words is "forty-four billion, four hundred six million, sixty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 342 366 549 684 732 1098 1159 2196 2318 3477 4636 6954 10431 13908 20862 41724 1064281 2128562 3192843 4257124 6385686 9578529 12771372 19157058 20221339 38314116 40442678 60664017 64921141 80885356 121328034 129842282 181992051 194763423 242656068 259684564 363984102 389526846 584290269 727968204 779053692 1168580538 1233501679 2337161076 2467003358 3700505037 4934006716 7401010074 11101515111 14802020148 22203030222 44406060444