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3020134032240 = 2435131319733883
BaseRepresentation
bin101011111100101110000…
…001000010001101110000
3101200201111100000002100220
4223330232001002031300
5343440213303012430
610231232545413040
7431124510464403
oct53745601021560
911621440002326
103020134032240
11a64916a21146
124093a493a180
1318ba49c05750
14a6264d0bd3a
1553862138110
hex2bf2e042370

3020134032240 has 160 divisors (see below), whose sum is σ = 10090259182080. Its totient is φ = 742852973568.

The previous prime is 3020134032239. The next prime is 3020134032247. The reversal of 3020134032240 is 422304310203.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3020134032240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020134032247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3748339 + ... + 4482221.

It is an arithmetic number, because the mean of its divisors is an integer number (63064119888).

Almost surely, 23020134032240 is an apocalyptic number.

3020134032240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020134032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045129591040).

3020134032240 is an abundant number, since it is smaller than the sum of its proper divisors (7070125149840).

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

3020134032240 is a wasteful number, since it uses less digits than its factorization.

3020134032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735231 (or 735225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3020134032240 its reverse (422304310203), we get a palindrome (3442438342443).

The spelling of 3020134032240 in words is "three trillion, twenty billion, one hundred thirty-four million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1319 1560 2638 3120 3957 5276 6595 7914 10552 13190 15828 17147 19785 21104 26380 31656 34294 39570 51441 52760 63312 68588 79140 85735 102882 105520 137176 158280 171470 205764 257205 274352 316560 342940 411528 514410 685880 733883 823056 1028820 1371760 1467766 2057640 2201649 2935532 3669415 4115280 4403298 5871064 7338830 8806596 9540479 11008245 11742128 14677660 17613192 19080958 22016490 28621437 29355320 35226384 38161916 44032980 47702395 57242874 58710640 76323832 88065960 95404790 114485748 143107185 152647664 176131920 190809580 228971496 286214370 381619160 457942992 572428740 763238320 967991677 1144857480 1935983354 2289714960 2903975031 3871966708 4839958385 5807950062 7743933416 9679916770 11615900124 12583891801 14519875155 15487866832 19359833540 23231800248 25167783602 29039750310 37751675403 38719667080 46463600496 50335567204 58079500620 62919459005 75503350806 77439334160 100671134408 116159001240 125838918010 151006701612 188758377015 201342268816 232318002480 251677836020 302013403224 377516754030 503355672040 604026806448 755033508060 1006711344080 1510067016120 3020134032240