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2130423444 = 223437712503
BaseRepresentation
bin111111011111011…
…1010111010010100
312111110202201120000
41332332322322110
513330342022234
6551222211300
7103536205032
oct17676727224
95443681500
102130423444
119a3628736
124b5583b30
1327c4b07b6
14162d29552
15c7076899
hex7efbae94

2130423444 has 120 divisors (see below), whose sum is σ = 5802749568. Its totient is φ = 680944320.

The previous prime is 2130423439. The next prime is 2130423467. The reversal of 2130423444 is 4443240312.

It is a happy number.

2130423444 is a `hidden beast` number, since 213 + 0 + 4 + 2 + 3 + 444 = 666.

It is a super-3 number, since 3×21304234443 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 849897 + ... + 852399.

Almost surely, 22130423444 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 2130423444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901374784).

2130423444 is an abundant number, since it is smaller than the sum of its proper divisors (3672326124).

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

2130423444 is a wasteful number, since it uses less digits than its factorization.

2130423444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2130423444 is about 46156.5103100310. The cubic root of 2130423444 is about 1286.7336074717.

Adding to 2130423444 its reverse (4443240312), we get a palindrome (6573663756).

The spelling of 2130423444 in words is "two billion, one hundred thirty million, four hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 71 74 81 108 111 142 148 162 213 222 284 324 333 426 444 639 666 852 999 1278 1332 1917 1998 2503 2556 2627 2997 3834 3996 5006 5254 5751 5994 7509 7668 7881 10012 10508 11502 11988 15018 15762 22527 23004 23643 30036 31524 45054 47286 67581 70929 90108 92611 94572 135162 141858 177713 185222 202743 212787 270324 277833 283716 355426 370444 405486 425574 533139 555666 710852 810972 833499 851148 1066278 1111332 1599417 1666998 2132556 2500497 3198834 3333996 4798251 5000994 6397668 6575381 7501491 9596502 10001988 13150762 14394753 15002982 19193004 19726143 26301524 28789506 30005964 39452286 57579012 59178429 78904572 118356858 177535287 236713716 355070574 532605861 710141148 1065211722 2130423444