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2141699712 = 27317378867
BaseRepresentation
bin111111110100111…
…1011111010000000
312112020222121200120
41333221323322000
513341233342322
6552304020240
7104034101325
oct17751737200
95466877616
102141699712
119a9a2a769
124b9301680
1328192b249
14164622b4c
15c8052a5c
hex7fa7be80

2141699712 has 128 divisors (see below), whose sum is σ = 6187026240. Its totient is φ = 653672448.

The previous prime is 2141699711. The next prime is 2141699719. The reversal of 2141699712 is 2179961412.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2141699711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237103 + ... + 245969.

Almost surely, 22141699712 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 2141699712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093513120).

2141699712 is an abundant number, since it is smaller than the sum of its proper divisors (4045326528).

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

2141699712 is a wasteful number, since it uses less digits than its factorization.

2141699712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8926 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 2141699712 is about 46278.5016179219. The cubic root of 2141699712 is about 1288.9998280692. Note that the first 3 decimals are identical.

The spelling of 2141699712 in words is "two billion, one hundred forty-one million, six hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 272 296 384 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3264 3552 3774 4736 5032 6528 7104 7548 8867 10064 14208 15096 17734 20128 26601 30192 35468 40256 53202 60384 70936 80512 106404 120768 141872 150739 212808 241536 283744 301478 328079 425616 452217 567488 602956 656158 851232 904434 984237 1134976 1205912 1312316 1702464 1808868 1968474 2411824 2624632 3404928 3617736 3936948 4823648 5249264 5577343 7235472 7873896 9647296 10498528 11154686 14470944 15747792 16732029 19294592 20997056 22309372 28941888 31495584 33464058 41994112 44618744 57883776 62991168 66928116 89237488 125982336 133856232 178474976 267712464 356949952 535424928 713899904 1070849856 2141699712