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4014243200 = 275211114041
BaseRepresentation
bin1110111101000100…
…0111110110000000
3101100202111200110002
43233101013312000
531210121240300
61502155055132
7201322334642
oct35721076600
911322450402
104014243200
11177aa32370
129404414a8
134bc86a746
142a11c0892
1518763a5d5
hexef447d80

4014243200 has 96 divisors (see below), whose sum is σ = 10818024120. Its totient is φ = 1459712000.

The previous prime is 4014243197. The next prime is 4014243241. The reversal of 4014243200 is 23424104.

4014243200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40142432002 = 32228296937492480000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

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, 21821 + ... + 92220.

Almost surely, 24014243200 is an apocalyptic number.

4014243200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014243200 is an abundant number, since it is smaller than the sum of its proper divisors (6803780920).

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

4014243200 is a wasteful number, since it uses less digits than its factorization.

4014243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114076 (or 114059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4014243200 is about 63358.0555257183. The cubic root of 4014243200 is about 1589.2829592560.

Adding to 4014243200 its reverse (23424104), we get a palindrome (4037667304).

The spelling of 4014243200 in words is "four billion, fourteen million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 114041 228082 456164 570205 912328 1140410 1254451 1824656 2280820 2508902 2851025 3649312 4561640 5017804 5702050 6272255 7298624 9123280 10035608 11404100 12544510 14597248 18246560 20071216 22808200 25089020 31361275 36493120 40142432 45616400 50178040 62722550 72986240 80284864 91232800 100356080 125445100 160569728 182465600 200712160 250890200 364931200 401424320 501780400 802848640 1003560800 2007121600 4014243200