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40014443000 = 2353719729017
BaseRepresentation
bin100101010001000010…
…111111000111111000
310211021200020022120102
4211101002333013320
51123422144134000
630214332214532
72614411103450
oct452102770770
9124250208512
1040014443000
1115a74123304
12790890a448
133a0906b50c
141d1848ad60
151092ddb3d5
hex9510bf1f8

40014443000 has 128 divisors (see below), whose sum is σ = 107556958080. Its totient is φ = 13649126400.

The previous prime is 40014442957. The next prime is 40014443069. The reversal of 40014443000 is 34441004.

40014443000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364492 + ... + 1393508.

It is an arithmetic number, because the mean of its divisors is an integer number (840288735).

Almost surely, 240014443000 is an apocalyptic number.

40014443000 is a gapful number since it is divisible by the number (40) 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 40014443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778479040).

40014443000 is an abundant number, since it is smaller than the sum of its proper divisors (67542515080).

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

40014443000 is a wasteful number, since it uses less digits than its factorization.

40014443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29242 (or 29228 counting only the distinct ones).

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

Adding to 40014443000 its reverse (34441004), we get a palindrome (40048884004).

The spelling of 40014443000 in words is "forty billion, fourteen million, four hundred forty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 197 200 250 280 350 394 500 700 788 875 985 1000 1379 1400 1576 1750 1970 2758 3500 3940 4925 5516 6895 7000 7880 9850 11032 13790 19700 24625 27580 29017 34475 39400 49250 55160 58034 68950 98500 116068 137900 145085 172375 197000 203119 232136 275800 290170 344750 406238 580340 689500 725425 812476 1015595 1160680 1379000 1450850 1624952 2031190 2901700 3627125 4062380 5077975 5716349 5803400 7254250 8124760 10155950 11432698 14508500 20311900 22865396 25389875 28581745 29017000 40014443 40623800 45730792 50779750 57163490 80028886 101559500 114326980 142908725 160057772 200072215 203119000 228653960 285817450 320115544 400144430 571634900 714543625 800288860 1000361075 1143269800 1429087250 1600577720 2000722150 2858174500 4001444300 5001805375 5716349000 8002888600 10003610750 20007221500 40014443000