Search a number
-
+
30151301440 = 2651353136753
BaseRepresentation
bin11100000101001010…
…000101100101000000
32212211021222210221011
4130011022011211000
5443222213121230
621503515010304
72115114555631
oct340512054500
985737883834
1030151301440
1111872695047
125a15739994
132ac682b490
141660591888
15bb7063e2a
hex705285940

30151301440 has 112 divisors (see below), whose sum is σ = 78780150288. Its totient is φ = 10922655744.

The previous prime is 30151301417. The next prime is 30151301441. The reversal of 30151301440 is 4410315103.

It can be written as a sum of positive squares in 8 ways, for example, as 3935805696 + 26215495744 = 62736^2 + 161912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30151301441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152104 + ... + 288856.

It is an arithmetic number, because the mean of its divisors is an integer number (703394199).

Almost surely, 230151301440 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 30151301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39390075144).

30151301440 is an abundant number, since it is smaller than the sum of its proper divisors (48628848848).

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

30151301440 is a wasteful number, since it uses less digits than its factorization.

30151301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136836 (or 136826 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 30151301440 its reverse (4410315103), we get a palindrome (34561616543).

The spelling of 30151301440 in words is "thirty billion, one hundred fifty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 53 64 65 80 104 106 130 160 208 212 260 265 320 416 424 520 530 689 832 848 1040 1060 1378 1696 2080 2120 2756 3392 3445 4160 4240 5512 6890 8480 11024 13780 16960 22048 27560 44096 55120 110240 136753 220480 273506 547012 683765 1094024 1367530 1777789 2188048 2735060 3555578 4376096 5470120 7111156 7247909 8752192 8888945 10940240 14222312 14495818 17777890 21880480 28444624 28991636 35555780 36239545 43760960 56889248 57983272 71111560 72479090 94222817 113778496 115966544 142223120 144958180 188445634 231933088 284446240 289916360 376891268 463866176 471114085 568892480 579832720 753782536 942228170 1159665440 1507565072 1884456340 2319330880 3015130144 3768912680 6030260288 7537825360 15075650720 30151301440