Search a number
-
+
4214411310 = 235617193203
BaseRepresentation
bin1111101100110010…
…1101000000101110
3101212201011021110210
43323030231000232
532112342130220
61534105243250
7206302622304
oct37314550056
911781137423
104214411310
111872a1a65a
12997493526
13522183405
142bda08274
15199ec96e0
hexfb32d02e

4214411310 has 64 divisors (see below), whose sum is σ = 10297912320. Its totient is φ = 1103537280.

The previous prime is 4214411303. The next prime is 4214411321. The reversal of 4214411310 is 131144124.

It is a super-2 number, since 2×42144113102 = 35522525379711832200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 1314169 + ... + 1317371.

It is an arithmetic number, because the mean of its divisors is an integer number (160904880).

Almost surely, 24214411310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214411310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148956160).

4214411310 is an abundant number, since it is smaller than the sum of its proper divisors (6083501010).

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

4214411310 is a wasteful number, since it uses less digits than its factorization.

4214411310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4214411310 is about 64918.4974410222. The cubic root of 4214411310 is about 1615.2719060887.

Adding to 4214411310 its reverse (131144124), we get a palindrome (4345555434).

The spelling of 4214411310 in words is "four billion, two hundred fourteen million, four hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 719 915 1438 1830 2157 3203 3595 4314 6406 7190 9609 10785 16015 19218 21570 32030 43859 48045 87718 96090 131577 195383 219295 263154 390766 438590 586149 657885 976915 1172298 1315770 1953830 2302957 2930745 4605914 5861490 6908871 11514785 13817742 23029570 34544355 69088710 140480377 280960754 421441131 702401885 842882262 1404803770 2107205655 4214411310