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30541444000 = 255331124551
BaseRepresentation
bin11100011100011010…
…010111001110100000
32220211111010002220121
4130130122113032200
51000022102202000
622010333050024
72130562663534
oct343432271640
986744102817
1030541444000
1111a52937a11
125b04326914
132b595cb072
14169a30bbc4
15bdb42bb1a
hex71c6973a0

30541444000 has 96 divisors (see below), whose sum is σ = 75284681472. Its totient is φ = 12176800000.

The previous prime is 30541443983. The next prime is 30541444019. The reversal of 30541444000 is 44414503.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1231725 + ... + 1256275.

It is an arithmetic number, because the mean of its divisors is an integer number (784215432).

Almost surely, 230541444000 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 30541444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37642340736).

30541444000 is an abundant number, since it is smaller than the sum of its proper divisors (44743237472).

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

30541444000 is a wasteful number, since it uses less digits than its factorization.

30541444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24887 (or 24869 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 30541444000 its reverse (44414503), we get a palindrome (30585858503).

The spelling of 30541444000 in words is "thirty billion, five hundred forty-one million, four hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 311 400 500 622 800 1000 1244 1555 2000 2488 3110 4000 4976 6220 7775 9952 12440 15550 24551 24880 31100 38875 49102 49760 62200 77750 98204 122755 124400 155500 196408 245510 248800 311000 392816 491020 613775 622000 785632 982040 1227550 1244000 1964080 2455100 3068875 3928160 4910200 6137750 7635361 9820400 12275500 15270722 19640800 24551000 30541444 38176805 49102000 61082888 76353610 98204000 122165776 152707220 190884025 244331552 305414440 381768050 610828880 763536100 954420125 1221657760 1527072200 1908840250 3054144400 3817680500 6108288800 7635361000 15270722000 30541444000