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4054615040 = 21057113131
BaseRepresentation
bin1111000110101100…
…1000010000000000
3101110120110210012102
43301223020100000
531300440140130
61510200245532
7202322442050
oct36153102000
911416423172
104054615040
1117a07a7323
12951a708a8
134c80345c8
142a66cd560
1518ae62645
hexf1ac8400

4054615040 has 88 divisors (see below), whose sum is σ = 11115897792. Its totient is φ = 1390141440.

The previous prime is 4054615021. The next prime is 4054615069. The reversal of 4054615040 is 405164504.

It is a junction number, because it is equal to n+sod(n) for n = 4054614994 and 4054615012.

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 7 ways as a sum of consecutive naturals, for example, 20726 + ... + 92405.

Almost surely, 24054615040 is an apocalyptic number.

4054615040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054615040 is an abundant number, since it is smaller than the sum of its proper divisors (7061282752).

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

4054615040 is a wasteful number, since it uses less digits than its factorization.

4054615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113163 (or 113145 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 4054615040 is about 63675.8591618519. The cubic root of 4054615040 is about 1594.5930821902.

Adding to 4054615040 its reverse (405164504), we get a palindrome (4459779544).

The spelling of 4054615040 in words is "four billion, fifty-four million, six hundred fifteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 113131 226262 452524 565655 791917 905048 1131310 1583834 1810096 2262620 3167668 3620192 3959585 4525240 6335336 7240384 7919170 9050480 12670672 14480768 15838340 18100960 25341344 28961536 31676680 36201920 50682688 57923072 63353360 72403840 101365376 115846144 126706720 144807680 202730752 253413440 289615360 405461504 506826880 579230720 810923008 1013653760 2027307520 4054615040