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4014245620 = 225731153197
BaseRepresentation
bin1110111101000100…
…1000011011110100
3101100202111210202201
43233101020123310
531210121324440
61502155114244
7201322345000
oct35721103364
911322453681
104014245620
11177aa34170
12940442984
134bc86b888
142a11c1700
1518763b19a
hexef4486f4

4014245620 has 96 divisors (see below), whose sum is σ = 10724716800. Its totient is φ = 1251169920.

The previous prime is 4014245603. The next prime is 4014245629. The reversal of 4014245620 is 265424104.

It is a super-2 number, since 2×40142456202 = 32228335795378368800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014245629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48862 + ... + 102058.

It is an arithmetic number, because the mean of its divisors is an integer number (111715800).

Almost surely, 24014245620 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 4014245620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362358400).

4014245620 is an abundant number, since it is smaller than the sum of its proper divisors (6710471180).

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

4014245620 is a wasteful number, since it uses less digits than its factorization.

4014245620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53238 (or 53222 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 4014245620 is about 63358.0746235237. The cubic root of 4014245620 is about 1589.2832786241.

Adding to 4014245620 its reverse (265424104), we get a palindrome (4279669724).

It can be divided in two parts, 401424 and 5620, that added together give a square (407044 = 6382).

The spelling of 4014245620 in words is "four billion, fourteen million, two hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 343 385 490 539 686 770 980 1078 1372 1540 1715 2156 2695 3430 3773 5390 6860 7546 10780 15092 18865 37730 53197 75460 106394 212788 265985 372379 531970 585167 744758 1063940 1170334 1489516 1861895 2340668 2606653 2925835 3723790 4096169 5213306 5851670 7447580 8192338 10426612 11703340 13033265 16384676 18246571 20480845 26066530 28673183 36493142 40961690 52133060 57346366 72986284 81923380 91232855 114692732 143365915 182465710 200712281 286731830 364931420 401424562 573463660 802849124 1003561405 2007122810 4014245620