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40144112 = 2419374383
BaseRepresentation
bin1001100100100…
…0110011110000
32210112112100222
42121020303300
540234102422
63552232212
7665135141
oct231106360
983475328
1040144112
1120729958
121153b668
138417318
14548dac8
1537ce842
hex2648cf0

40144112 has 80 divisors (see below), whose sum is σ = 87077760. Its totient is φ = 17853696.

The previous prime is 40144103. The next prime is 40144183. The reversal of 40144112 is 21144104.

It is a super-2 number, since 2×401441122 = 3223099456537088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483623 + ... + 483705.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 240144112 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 40144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43538880).

40144112 is an abundant number, since it is smaller than the sum of its proper divisors (46933648).

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

40144112 is a wasteful number, since it uses less digits than its factorization.

40144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 40144112 is about 6335.9381310111. The cubic root of 40144112 is about 342.4054105035.

Adding to 40144112 its reverse (21144104), we get a palindrome (61288216).

The spelling of 40144112 in words is "forty million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 37 38 43 74 76 83 86 148 152 166 172 296 304 332 344 592 664 688 703 817 1328 1406 1577 1591 1634 2812 3071 3154 3182 3268 3569 5624 6142 6308 6364 6536 7138 11248 12284 12616 12728 13072 14276 24568 25232 25456 28552 30229 49136 57104 58349 60458 67811 116698 120916 132053 135622 233396 241832 264106 271244 466792 483664 528212 542488 933584 1056424 1084976 2112848 2509007 5018014 10036028 20072056 40144112