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2144414030 = 25113367439
BaseRepresentation
bin111111111010001…
…0010100101001110
312112110002112000212
41333310102211032
513342432222110
6552442122422
7104066134643
oct17764224516
95473075025
102144414030
11a00514000
124ba1b0412
1328236b855
14164b2bdca
15c83dbe05
hex7fd1294e

2144414030 has 64 divisors (see below), whose sum is σ = 4266915840. Its totient is φ = 775890720.

The previous prime is 2144414029. The next prime is 2144414053. The reversal of 2144414030 is 304144412.

It is a happy number.

It is a super-3 number, since 3×21444140303 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144413987 and 2144414005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4884551 + ... + 4884989.

It is an arithmetic number, because the mean of its divisors is an integer number (66670560).

Almost surely, 22144414030 is an apocalyptic number.

2144414030 is a deficient number, since it is larger than the sum of its proper divisors (2122501810).

2144414030 is a wasteful number, since it uses less digits than its factorization.

2144414030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2144414030 is about 46307.8182383925. The cubic root of 2144414030 is about 1289.5441431580.

Adding to 2144414030 its reverse (304144412), we get a palindrome (2448558442).

The spelling of 2144414030 in words is "two billion, one hundred forty-four million, four hundred fourteen thousand, thirty".

Divisors: 1 2 5 10 11 22 55 110 121 242 367 439 605 734 878 1210 1331 1835 2195 2662 3670 4037 4390 4829 6655 8074 9658 13310 20185 24145 40370 44407 48290 53119 88814 106238 161113 222035 265595 322226 444070 488477 531190 584309 805565 976954 1168618 1611130 1772243 2442385 2921545 3544486 4884770 5843090 8861215 17722430 19494673 38989346 97473365 194946730 214441403 428882806 1072207015 2144414030