Search a number
-
+
30501443400320 = 275172803441489
BaseRepresentation
bin1101110111101101010111…
…01100101111001010000000
310222222220120000220210201202
412323312223230233022000
512444213424002302240
6144512100351320332
76265441126101014
oct673665354571200
9128886500823652
1030501443400320
11979a6536a0582
1235074738200a8
131403373622c49
147763c617c544
1537d62c4c6315
hex1bbdabb2f280

30501443400320 has 64 divisors (see below), whose sum is σ = 77206778634600. Its totient is φ = 11482896334848.

The previous prime is 30501443400317. The next prime is 30501443400331. The reversal of 30501443400320 is 2300434410503.

It can be written as a sum of positive squares in 4 ways, for example, as 30186057825856 + 315385574464 = 5494184^2 + 561592^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×305014434003202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1401709865 + ... + 1401731624.

Almost surely, 230501443400320 is an apocalyptic number.

It is an amenable number.

30501443400320 is an abundant number, since it is smaller than the sum of its proper divisors (46705335234280).

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

30501443400320 is a wasteful number, since it uses less digits than its factorization.

30501443400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803441525 (or 2803441513 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 30501443400320 its reverse (2300434410503), we get a palindrome (32801877810823).

The spelling of 30501443400320 in words is "thirty trillion, five hundred one billion, four hundred forty-three million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 2803441489 5606882978 11213765956 14017207445 22427531912 28034414890 44855063824 47658505313 56068829780 89710127648 95317010626 112137659560 179420255296 190634021252 224275319120 238292526565 358840510592 381268042504 448550638240 476585053130 762536085008 897101276480 953170106260 1525072170016 1794202552960 1906340212520 3050144340032 3812680425040 6100288680064 7625360850080 15250721700160 30501443400320