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40214440 = 23573141113
BaseRepresentation
bin1001100101100…
…1111110101000
32210200002211201
42121121332220
540243330230
63553533544
7665550160
oct231317650
983602751
1040214440
1120777782
12115742b4
138440336
1454ab5a0
1537e55ca
hex2659fa8

40214440 has 128 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 12902400.

The previous prime is 40214429. The next prime is 40214441. The reversal of 40214440 is 4441204.

It is not an unprimeable number, because it can be changed into a prime (40214441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355824 + ... + 355936.

It is an arithmetic number, because the mean of its divisors is an integer number (861840).

Almost surely, 240214440 is an apocalyptic number.

40214440 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 40214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55157760).

40214440 is an abundant number, since it is smaller than the sum of its proper divisors (70101080).

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

40214440 is a wasteful number, since it uses less digits than its factorization.

40214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 40214440 is about 6341.4856303551. The cubic root of 40214440 is about 342.6052458630.

Adding to 40214440 its reverse (4441204), we get a palindrome (44655644).

The spelling of 40214440 in words is "forty million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 41 56 62 70 82 113 124 140 155 164 205 217 226 248 280 287 310 328 410 434 452 565 574 620 791 820 868 904 1085 1130 1148 1240 1271 1435 1582 1640 1736 2170 2260 2296 2542 2870 3164 3503 3955 4340 4520 4633 5084 5740 6328 6355 7006 7910 8680 8897 9266 10168 11480 12710 14012 15820 17515 17794 18532 23165 24521 25420 28024 31640 32431 35030 35588 37064 44485 46330 49042 50840 64862 70060 71176 88970 92660 98084 122605 129724 140120 143623 162155 177940 185320 196168 245210 259448 287246 324310 355880 490420 574492 648620 718115 980840 1005361 1148984 1297240 1436230 2010722 2872460 4021444 5026805 5744920 8042888 10053610 20107220 40214440