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2144623632 = 243194615101
BaseRepresentation
bin111111111010100…
…0101110000010000
312112110111011112220
41333311011300100
513343010424012
6552450421040
7104101000014
oct17765056020
95473434486
102144623632
11a00647528
124ba291780
13282413088
14164b84544
15c842e08c
hex7fd45c10

2144623632 has 80 divisors (see below), whose sum is σ = 5845667520. Its totient is φ = 675648000.

The previous prime is 2144623609. The next prime is 2144623639. The reversal of 2144623632 is 2363264412.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2144623593 and 2144623602.

It is not an unprimeable number, because it can be changed into a prime (2144623639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417882 + ... + 422982.

It is an arithmetic number, because the mean of its divisors is an integer number (73070844).

Almost surely, 22144623632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144623632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922833760).

2144623632 is an abundant number, since it is smaller than the sum of its proper divisors (3701043888).

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

2144623632 is a wasteful number, since it uses less digits than its factorization.

2144623632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5586 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 2144623632 is about 46310.0813214574. The cubic root of 2144623632 is about 1289.5861565350.

The spelling of 2144623632 in words is "two billion, one hundred forty-four million, six hundred twenty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 461 912 922 1383 1844 2766 3688 5101 5532 7376 8759 10202 11064 15303 17518 20404 22128 26277 30606 35036 40808 52554 61212 70072 81616 96919 105108 122424 140144 193838 210216 244848 290757 387676 420432 581514 775352 1163028 1550704 2326056 2351561 4652112 4703122 7054683 9406244 14109366 18812488 28218732 37624976 44679659 56437464 89359318 112874928 134038977 178718636 268077954 357437272 536155908 714874544 1072311816 2144623632