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2144112630 = 2351137414283
BaseRepresentation
bin111111111001100…
…1000111111110110
312112102112012120220
41333303020333312
513342343101010
6552431435210
7104063441142
oct17763107766
95472465526
102144112630
11a00328610
124ba085b06
132822945ca
14164a90222
15c837c970
hex7fcc8ff6

2144112630 has 128 divisors (see below), whose sum is σ = 5907396096. Its totient is φ = 493286400.

The previous prime is 2144112611. The next prime is 2144112631. The reversal of 2144112630 is 362114412.

It is a self number, because there is not a number n which added to its sum of digits gives 2144112630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144112631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 498469 + ... + 502751.

It is an arithmetic number, because the mean of its divisors is an integer number (46151532).

Almost surely, 22144112630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144112630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953698048).

2144112630 is an abundant number, since it is smaller than the sum of its proper divisors (3763283466).

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

2144112630 is a wasteful number, since it uses less digits than its factorization.

2144112630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4382.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2144112630 is about 46304.5638139482. The cubic root of 2144112630 is about 1289.4837246614.

The spelling of 2144112630 in words is "two billion, one hundred forty-four million, one hundred twelve thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 41 55 66 74 82 110 111 123 165 185 205 222 246 330 370 407 410 451 555 615 814 902 1110 1221 1230 1353 1517 2035 2255 2442 2706 3034 4070 4283 4510 4551 6105 6765 7585 8566 9102 12210 12849 13530 15170 16687 21415 22755 25698 33374 42830 45510 47113 50061 64245 83435 94226 100122 128490 141339 158471 166870 175603 235565 250305 282678 316942 351206 471130 475413 500610 526809 706695 792355 878015 950826 1053618 1413390 1584710 1743181 1756030 1931633 2377065 2634045 3486362 3863266 4754130 5229543 5268090 5794899 6497311 8715905 9658165 10459086 11589798 12994622 17431810 19316330 19491933 26147715 28974495 32486555 38983866 52295430 57948990 64973110 71470421 97459665 142940842 194919330 214411263 357352105 428822526 714704210 1072056315 2144112630