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4040001113040 = 243255611112657
BaseRepresentation
bin111010110010100010110…
…101001100101111010000
3112022012221121211210020100
4322302202311030233100
51012142410241104130
612331541220412400
7564610664600664
oct72624265145720
915265847753210
104040001113040
11131839a33a982
12552b90247100
13233c8017a7a9
14dd773b1a8a4
1570152b11c60
hex3aca2d4cbd0

4040001113040 has 60 divisors (see below), whose sum is σ = 13567670407044. Its totient is φ = 1077333629952.

The previous prime is 4040001112997. The next prime is 4040001113191. The reversal of 4040001113040 is 403111000404.

4040001113040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 404755529616 + 3635245583424 = 636204^2 + 1906632^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2805555609 + ... + 2805557048.

Almost surely, 24040001113040 is an apocalyptic number.

4040001113040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040001113040 is an abundant number, since it is smaller than the sum of its proper divisors (9527669294004).

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

4040001113040 is a wasteful number, since it uses less digits than its factorization.

4040001113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5611112676 (or 5611112667 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4040001113040 its reverse (403111000404), we get a palindrome (4443112113444).

The spelling of 4040001113040 in words is "four trillion, forty billion, one million, one hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5611112657 11222225314 16833337971 22444450628 28055563285 33666675942 44888901256 50500013913 56111126570 67333351884 84166689855 89777802512 101000027826 112222253140 134666703768 168333379710 202000055652 224444506280 252500069565 269333407536 336666759420 404000111304 448889012560 505000139130 673333518840 808000222608 1010000278260 1346667037680 2020000556520 4040001113040