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4440642444 = 2232728632917
BaseRepresentation
bin1000010001010111…
…01101001110001100
3102110110212000020200
410020223231032030
533043301024234
62012350213500
7215020560300
oct41053551614
912413760220
104440642444
111979699437
12a3b1b4290
13559cc30a4
14301a97d00
151aecb5d99
hex108aed38c

4440642444 has 108 divisors (see below), whose sum is σ = 13077215424. Its totient is φ = 1266850368.

The previous prime is 4440642433. The next prime is 4440642463. The reversal of 4440642444 is 4442460444.

4440642444 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 642 + 4 + 4 + 4 = 666.

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 = 4440642399 and 4440642408.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1520874 + ... + 1523790.

It is an arithmetic number, because the mean of its divisors is an integer number (121085328).

Almost surely, 24440642444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440642444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538607712).

4440642444 is an abundant number, since it is smaller than the sum of its proper divisors (8636572980).

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

4440642444 is a wasteful number, since it uses less digits than its factorization.

4440642444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3804 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

The square root of 4440642444 is about 66638.1455624329. The cubic root of 4440642444 is about 1643.6724221672.

The spelling of 4440642444 in words is "four billion, four hundred forty million, six hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 863 882 1726 1764 2589 2917 3452 5178 5834 6041 7767 8751 10356 11668 12082 15534 17502 18123 20419 24164 26253 31068 35004 36246 40838 42287 52506 54369 61257 72492 81676 84574 105012 108738 122514 126861 142933 169148 183771 217476 245028 253722 285866 367542 380583 428799 507444 571732 735084 761166 857598 1286397 1522332 1715196 2517371 2572794 5034742 5145588 7552113 10069484 15104226 17621597 22656339 30208452 35243194 45312678 52864791 70486388 90625356 105729582 123351179 158594373 211459164 246702358 317188746 370053537 493404716 634377492 740107074 1110160611 1480214148 2220321222 4440642444