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40444244200 = 23522325734211
BaseRepresentation
bin100101101010101010…
…100011000011101000
310212101121222110222101
4211222222203003220
51130312211303300
630325124303144
72631150255253
oct455252430350
9125347873871
1040444244200
11161747a3308
127a08841ab4
133a77115459
141d595ac09a
1510ba9d9b6a
hex96aaa30e8

40444244200 has 96 divisors (see below), whose sum is σ = 98505927360. Its totient is φ = 15413657600.

The previous prime is 40444244173. The next prime is 40444244257. The reversal of 40444244200 is 244244404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1165095 + ... + 1199305.

It is an arithmetic number, because the mean of its divisors is an integer number (1026103410).

Almost surely, 240444244200 is an apocalyptic number.

40444244200 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 40444244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49252963680).

40444244200 is an abundant number, since it is smaller than the sum of its proper divisors (58061683160).

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

40444244200 is a wasteful number, since it uses less digits than its factorization.

40444244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34507 (or 34498 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 40444244200 its reverse (244244404), we get a palindrome (40688488604).

The spelling of 40444244200 in words is "forty billion, four hundred forty-four million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 257 460 514 575 920 1028 1150 1285 2056 2300 2570 4600 5140 5911 6425 10280 11822 12850 23644 25700 29555 34211 47288 51400 59110 68422 118220 136844 147775 171055 236440 273688 295550 342110 591100 684220 786853 855275 1182200 1368440 1573706 1710550 3147412 3421100 3934265 6294824 6842200 7868530 8792227 15737060 17584454 19671325 31474120 35168908 39342650 43961135 70337816 78685300 87922270 157370600 175844540 202221221 219805675 351689080 404442442 439611350 808884884 879222700 1011106105 1617769768 1758445400 2022212210 4044424420 5055530525 8088848840 10111061050 20222122100 40444244200