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40114440 = 233554127
BaseRepresentation
bin1001100100000…
…1100100001000
32210111000200000
42121001210020
540232130230
63551443000
7664652502
oct231014410
983430600
1040114440
1120709633
1211526460
138406972
145482d72
1537c5b60
hex2641908

40114440 has 96 divisors (see below), whose sum is σ = 135233280. Its totient is φ = 10694592.

The previous prime is 40114439. The next prime is 40114457. The reversal of 40114440 is 4441104.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7657 + ... + 11783.

It is an arithmetic number, because the mean of its divisors is an integer number (1408680).

Almost surely, 240114440 is an apocalyptic number.

40114440 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 40114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67616640).

40114440 is an abundant number, since it is smaller than the sum of its proper divisors (95118840).

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

40114440 is a wasteful number, since it uses less digits than its factorization.

40114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40114440 is about 6333.5961348984. The cubic root of 40114440 is about 342.3210282032.

Adding to 40114440 its reverse (4441104), we get a palindrome (44555544).

It can be divided in two parts, 401 and 14440, that added together give a palindrome (14841).

The spelling of 40114440 in words is "forty million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4127 4860 8254 9720 12381 16508 20635 24762 33016 37143 41270 49524 61905 74286 82540 99048 111429 123810 148572 165080 185715 222858 247620 297144 334287 371430 445716 495240 557145 668574 742860 891432 1002861 1114290 1337148 1485720 1671435 2005722 2228580 2674296 3342870 4011444 4457160 5014305 6685740 8022888 10028610 13371480 20057220 40114440