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4043040100 = 225211101151241
BaseRepresentation
bin1111000011111011…
…1110010101100100
3101102202200201100221
43300332332111210
531240004240400
61505104214124
7202122162631
oct36076762544
911382621327
104043040100
111795210960
1294a00a344
134c5810c28
142a4d59188
15189e27c1a
hexf0fbe564

4043040100 has 144 divisors (see below), whose sum is σ = 9770124672. Its totient is φ = 1440000000.

The previous prime is 4043040091. The next prime is 4043040109. The reversal of 4043040100 is 10403404.

It is an interprime number because it is at equal distance from previous prime (4043040091) and next prime (4043040109).

It is not an unprimeable number, because it can be changed into a prime (4043040109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16775980 + ... + 16776220.

It is an arithmetic number, because the mean of its divisors is an integer number (67848088).

Almost surely, 24043040100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885062336).

4043040100 is an abundant number, since it is smaller than the sum of its proper divisors (5727084572).

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

4043040100 is a wasteful number, since it uses less digits than its factorization.

4043040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4043040100 is about 63584.9046551145. The cubic root of 4043040100 is about 1593.0742441340.

Adding to 4043040100 its reverse (10403404), we get a palindrome (4053443504).

The spelling of 4043040100 in words is "four billion, forty-three million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 151 202 220 241 275 302 404 482 505 550 604 755 964 1010 1100 1111 1205 1510 1661 2020 2222 2410 2525 2651 3020 3322 3775 4444 4820 5050 5302 5555 6025 6644 7550 8305 10100 10604 11110 12050 13255 15100 15251 16610 22220 24100 24341 26510 27775 30502 33220 36391 41525 48682 53020 55550 61004 66275 72782 76255 83050 97364 111100 121705 132550 145564 152510 166100 167761 181955 243410 265100 267751 305020 335522 363910 381275 400301 486820 535502 608525 671044 727820 762550 800602 838805 909775 1071004 1217050 1338755 1525100 1601204 1677610 1819550 2001505 2434100 2677510 3355220 3639100 3675491 4003010 4194025 5355020 6693775 7350982 8006020 8388050 10007525 13387550 14701964 16776100 18377455 20015050 26775100 36754910 40030100 40430401 73509820 80860802 91887275 161721604 183774550 202152005 367549100 404304010 808608020 1010760025 2021520050 4043040100