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44220142404 = 22341912375807
BaseRepresentation
bin101001001011101110…
…011101001101000100
311020010202222222120000
4221023232131031010
51211030324024104
632151531041300
73123550002654
oct511356351504
9136122888500
1044220142404
1117832132539
1286a12a0230
134229491449
1421d6c68364
15123c244639
hexa4bb9d344

44220142404 has 120 divisors (see below), whose sum is σ = 121803749760. Its totient is φ = 13950563904.

The previous prime is 44220142363. The next prime is 44220142451. The reversal of 44220142404 is 40424102244.

44220142404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7612069 + ... + 7617875.

It is an arithmetic number, because the mean of its divisors is an integer number (1015031248).

Almost surely, 244220142404 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 44220142404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60901874880).

44220142404 is an abundant number, since it is smaller than the sum of its proper divisors (77583607356).

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

44220142404 is a wasteful number, since it uses less digits than its factorization.

44220142404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44220142404 its reverse (40424102244), we get a palindrome (84644244648).

It can be divided in two parts, 44220 and 142404, that added together give a square (186624 = 4322).

The spelling of 44220142404 in words is "forty-four billion, two hundred twenty million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1237 1539 2052 2474 3078 3711 4948 5807 6156 7422 11133 11614 14844 17421 22266 23228 23503 33399 34842 44532 47006 52263 66798 69684 70509 94012 100197 104526 110333 133596 141018 156789 200394 209052 211527 220666 282036 313578 330999 400788 423054 441332 470367 627156 634581 661998 846108 940734 992997 1269162 1323996 1881468 1903743 1985994 2538324 2978991 3807486 3971988 5957982 7183259 7614972 8936973 11915964 14366518 17873946 21549777 28733036 35747892 43099554 64649331 86199108 129298662 136481921 193947993 258597324 272963842 387895986 409445763 545927684 581843979 775791972 818891526 1163687958 1228337289 1637783052 2327375916 2456674578 3685011867 4913349156 7370023734 11055035601 14740047468 22110071202 44220142404