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2144313414 = 232238276263
BaseRepresentation
bin111111111001111…
…1010000001000110
312112102220102000100
41333303322001012
513342421012124
6552440024530
7104065235415
oct17763720106
95472812010
102144313414
11a00455451
124ba162146
13282334b09
14164b0347c
15c83bc1c9
hex7fcfa046

2144313414 has 48 divisors (see below), whose sum is σ = 4854650112. Its totient is φ = 682758384.

The previous prime is 2144313397. The next prime is 2144313427. The reversal of 2144313414 is 4143134412.

2144313414 is a `hidden beast` number, since 214 + 4 + 31 + 3 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339247 + ... + 345509.

It is an arithmetic number, because the mean of its divisors is an integer number (101138544).

Almost surely, 22144313414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144313414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427325056).

2144313414 is an abundant number, since it is smaller than the sum of its proper divisors (2710336698).

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

2144313414 is a wasteful number, since it uses less digits than its factorization.

2144313414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7118 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2144313414 is about 46306.7318432212. The cubic root of 2144313414 is about 1289.5239743534.

Adding to 2144313414 its reverse (4143134412), we get a palindrome (6287447826).

The spelling of 2144313414 in words is "two billion, one hundred forty-four million, three hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 827 1654 2481 4962 6263 7443 12526 14886 18789 19021 37578 38042 56367 57063 112734 114126 144049 171189 288098 342378 432147 864294 1296441 2592882 5179501 10359002 15538503 31077006 46615509 93231018 119128523 238257046 357385569 714771138 1072156707 2144313414