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4402031130 = 23357347533
BaseRepresentation
bin1000001100110000…
…11010101000011010
3102100210012100111000
410012120122220122
533003404444010
62004450445430
7214041435000
oct40630325032
912323170430
104402031130
111959917162
12a2a293876
13551cc4663
142da8c6a70
151ab6da7c0
hex10661aa1a

4402031130 has 128 divisors (see below), whose sum is σ = 13689792000. Its totient is φ = 1006157376.

The previous prime is 4402031113. The next prime is 4402031141. The reversal of 4402031130 is 311302044.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68844 + ... + 116376.

It is an arithmetic number, because the mean of its divisors is an integer number (106951500).

Almost surely, 24402031130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844896000).

4402031130 is an abundant number, since it is smaller than the sum of its proper divisors (9287760870).

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

4402031130 is a wasteful number, since it uses less digits than its factorization.

4402031130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47570 (or 47550 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4402031130 is about 66347.8042590710. The cubic root of 4402031130 is about 1638.8946460513.

Adding to 4402031130 its reverse (311302044), we get a palindrome (4713333174).

The spelling of 4402031130 in words is "four billion, four hundred two million, thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 441 490 630 686 735 882 945 1029 1323 1470 1715 1890 2058 2205 2646 3087 3430 4410 5145 6174 6615 9261 10290 13230 15435 18522 30870 46305 47533 92610 95066 142599 237665 285198 332731 427797 475330 665462 712995 855594 998193 1283391 1425990 1663655 1996386 2138985 2329117 2566782 2994579 3327310 4277970 4658234 4990965 5989158 6416955 6987351 8983737 9981930 11645585 12833910 13974702 14972895 16303819 17967474 20962053 23291170 29945790 32607638 34936755 41924106 44918685 48911457 62886159 69873510 81519095 89837370 97822914 104810265 125772318 146734371 163038190 209620530 244557285 293468742 314430795 440203113 489114570 628861590 733671855 880406226 1467343710 2201015565 4402031130