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40244221312 = 271737194973
BaseRepresentation
bin100101011110101111…
…100001010110000000
310211212200121021011021
4211132233201112000
51124410010040222
630253221155224
72623201144201
oct453657412600
9124780537137
1040244221312
11160818a5139
12797185bb14
133a44850909
141d3abc15a8
1510a8178ac7
hex95ebe1580

40244221312 has 64 divisors (see below), whose sum is σ = 84930055200. Its totient is φ = 18929557504.

The previous prime is 40244221291. The next prime is 40244221333. The reversal of 40244221312 is 21312244204.

It is an interprime number because it is at equal distance from previous prime (40244221291) and next prime (40244221333).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8090058 + ... + 8095030.

Almost surely, 240244221312 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 40244221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42465027600).

40244221312 is an abundant number, since it is smaller than the sum of its proper divisors (44685833888).

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

40244221312 is a wasteful number, since it uses less digits than its factorization.

40244221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 40244221312 its reverse (21312244204), we get a palindrome (61556465516).

The spelling of 40244221312 in words is "forty billion, two hundred forty-four million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 3719 4973 7438 9946 14876 19892 29752 39784 59504 63223 79568 84541 119008 126446 159136 169082 238016 252892 318272 338164 476032 505784 636544 676328 1011568 1352656 2023136 2705312 4046272 5410624 8092544 10821248 18494587 36989174 73978348 147956696 295913392 314407979 591826784 628815958 1183653568 1257631916 2367307136 2515263832 5030527664 10061055328 20122110656 40244221312