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30209981040 = 24325191219677
BaseRepresentation
bin11100001000101001…
…111011101001110000
32212222101102001012200
4130020221323221300
5443332223343130
621513412423200
72116426413321
oct341051735160
985871361180
1030209981040
11118a2823988
125a31317b00
132b05a35435
1416682a8448
15bbc2a5760
hex708a7ba70

30209981040 has 120 divisors (see below), whose sum is σ = 101986829568. Its totient is φ = 8013780480.

The previous prime is 30209980979. The next prime is 30209981047. The reversal of 30209981040 is 4018990203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30209980986 and 30209981004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30209981047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27682 + ... + 247358.

Almost surely, 230209981040 is an apocalyptic number.

30209981040 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 30209981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993414784).

30209981040 is an abundant number, since it is smaller than the sum of its proper divisors (71776848528).

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

30209981040 is a wasteful number, since it uses less digits than its factorization.

30209981040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219887 (or 219878 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 30209981040 in words is "thirty billion, two hundred nine million, nine hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 191 240 360 382 573 720 764 955 1146 1528 1719 1910 2292 2865 3056 3438 3820 4584 5730 6876 7640 8595 9168 11460 13752 15280 17190 22920 27504 34380 45840 68760 137520 219677 439354 659031 878708 1098385 1318062 1757416 1977093 2196770 2636124 3295155 3514832 3954186 4393540 5272248 6590310 7908372 8787080 9885465 10544496 13180620 15816744 17574160 19770930 26361240 31633488 39541860 41958307 52722480 79083720 83916614 125874921 158167440 167833228 209791535 251749842 335666456 377624763 419583070 503499684 629374605 671332912 755249526 839166140 1006999368 1258749210 1510499052 1678332280 1888123815 2013998736 2517498420 3020998104 3356664560 3776247630 5034996840 6041996208 7552495260 10069993680 15104990520 30209981040