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30440144000 = 27537271787
BaseRepresentation
bin11100010110010111…
…111011110010000000
32220120102111112102202
4130112113323302000
5444320134102000
621552313532332
72125222645340
oct342627736200
986512445382
1030440144000
1111a00738802
125a964140a8
132b41620936
14168aa9cd20
15bd25bbdd5
hex7165fbc80

30440144000 has 128 divisors (see below), whose sum is σ = 86493813120. Its totient is φ = 10436582400.

The previous prime is 30440143991. The next prime is 30440144011. The reversal of 30440144000 is 44104403.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23894 + ... + 247893.

It is an arithmetic number, because the mean of its divisors is an integer number (675732915).

Almost surely, 230440144000 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 30440144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43246906560).

30440144000 is an abundant number, since it is smaller than the sum of its proper divisors (56053669120).

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

30440144000 is an equidigital number, since it uses as much as digits as its factorization.

30440144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271823 (or 271801 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30440144000 its reverse (44104403), we get a palindrome (30484248403).

The spelling of 30440144000 in words is "thirty billion, four hundred forty million, one hundred forty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 271787 543574 1087148 1358935 1902509 2174296 2717870 3805018 4348592 5435740 6794675 7610036 8697184 9512545 10871480 13589350 15220072 17394368 19025090 21742960 27178700 30440144 33973375 34788736 38050180 43485920 47562725 54357400 60880288 67946750 76100360 86971840 95125450 108714800 121760576 135893500 152200720 173943680 190250900 217429600 237813625 243521152 271787000 304401440 380501800 434859200 475627250 543574000 608802880 761003600 869718400 951254500 1087148000 1217605760 1522007200 1902509000 2174296000 3044014400 3805018000 4348592000 6088028800 7610036000 15220072000 30440144000