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4415110040 = 2351115763913
BaseRepresentation
bin1000001110010100…
…10011101110011000
3102101200210211101002
410013022103232120
533020232010130
62010035044132
7214260546635
oct40712235630
912350724332
104415110040
11196623a580
12a32740648
13554923763
142dc52d18c
151ac920b45
hex107293b98

4415110040 has 64 divisors (see below), whose sum is σ = 10906284960. Its totient is φ = 1595243520.

The previous prime is 4415110027. The next prime is 4415110057. The reversal of 4415110040 is 400115144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4415109994 and 4415110021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37124 + ... + 101036.

Almost surely, 24415110040 is an apocalyptic number.

4415110040 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 4415110040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453142480).

4415110040 is an abundant number, since it is smaller than the sum of its proper divisors (6491174920).

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

4415110040 is a wasteful number, since it uses less digits than its factorization.

4415110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64092 (or 64088 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4415110040 is about 66446.2944038266. The cubic root of 4415110040 is about 1640.5161522296.

Adding to 4415110040 its reverse (400115144), we get a palindrome (4815225184).

The spelling of 4415110040 in words is "four billion, four hundred fifteen million, one hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 34540 63913 69080 127826 255652 319565 511304 639130 703043 1278260 1406086 2556520 2812172 3515215 5624344 7030430 10034341 14060860 20068682 28121720 40137364 50171705 80274728 100343410 110377751 200686820 220755502 401373640 441511004 551888755 883022008 1103777510 2207555020 4415110040