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2144412330 = 235375336451
BaseRepresentation
bin111111111010001…
…0010001010101010
312112110002102200220
41333310102022222
513342432143310
6552442110510
7104066126664
oct17764221252
95473072626
102144412330
11a005127a5
124ba1ab436
1328236ab48
14164b2b534
15c83db670
hex7fd122aa

2144412330 has 64 divisors (see below), whose sum is σ = 5385564288. Its totient is φ = 545875200.

The previous prime is 2144412313. The next prime is 2144412341. The reversal of 2144412330 is 332144412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144412330.

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, 40605 + ... + 77055.

It is an arithmetic number, because the mean of its divisors is an integer number (84149442).

Almost surely, 22144412330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144412330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692782144).

2144412330 is an abundant number, since it is smaller than the sum of its proper divisors (3241151958).

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

2144412330 is a wasteful number, since it uses less digits than its factorization.

2144412330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36551.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2144412330 is about 46307.7998829571. The cubic root of 2144412330 is about 1289.5438023927.

Adding to 2144412330 its reverse (332144412), we get a palindrome (2476556742).

The spelling of 2144412330 in words is "two billion, one hundred forty-four million, four hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 53 74 106 111 159 185 222 265 318 370 530 555 795 1110 1590 1961 3922 5883 9805 11766 19610 29415 36451 58830 72902 109353 182255 218706 364510 546765 1093530 1348687 1931903 2697374 3863806 4046061 5795709 6743435 8092122 9659515 11591418 13486870 19319030 20230305 28978545 40460610 57957090 71480411 142960822 214441233 357402055 428882466 714804110 1072206165 2144412330