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30143441020 = 2257115925623
BaseRepresentation
bin11100000100101100…
…000110100001111100
32212210202012110110111
4130010230012201330
5443213210103040
621503034315404
72114661010150
oct340454064174
985722173414
1030143441020
1111869206430
125a12b88b64
132ac5008744
14165d507060
15bb650edea
hex704b0687c

30143441020 has 144 divisors (see below), whose sum is σ = 80295602688. Its totient is φ = 9234472320.

The previous prime is 30143440973. The next prime is 30143441071. The reversal of 30143441020 is 2014434103.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 30143440982 and 30143441000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5357929 + ... + 5363551.

It is an arithmetic number, because the mean of its divisors is an integer number (557608352).

Almost surely, 230143441020 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 30143441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40147801344).

30143441020 is an abundant number, since it is smaller than the sum of its proper divisors (50152161668).

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

30143441020 is a wasteful number, since it uses less digits than its factorization.

30143441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5768 (or 5707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 30143441020 its reverse (2014434103), we get a palindrome (32157875123).

The spelling of 30143441020 in words is "thirty billion, one hundred forty-three million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 220 236 295 308 385 413 590 649 770 826 1180 1298 1540 1652 2065 2596 3245 3481 4130 4543 5623 6490 6962 8260 9086 11246 12980 13924 17405 18172 22492 22715 24367 28115 34810 38291 39361 45430 48734 56230 61853 69620 76582 78722 90860 97468 112460 121835 123706 153164 157444 191455 196805 243670 247412 268037 309265 331757 382910 393610 432971 487340 536074 618530 663514 765820 787220 865942 1072148 1237060 1327028 1340185 1658785 1731884 2164855 2322299 2680370 3317570 3649327 4329710 4644598 5360740 6635140 7298654 8659420 9289196 11611495 14597308 18246635 19573663 23222990 25545289 36493270 39147326 46445980 51090578 72986540 78294652 97868315 102181156 127726445 137015641 195736630 215310293 255452890 274031282 391473260 430620586 510905780 548062564 685078205 861241172 1076551465 1370156410 1507172051 2153102930 2740312820 3014344102 4306205860 6028688204 7535860255 15071720510 30143441020