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2144047136 = 257211197631
BaseRepresentation
bin111111111001011…
…1001000000100000
312112102101212202012
41333302321000200
513342334002021
6552430212052
7104063046200
oct17762710040
95472355665
102144047136
11a00293390
124ba054028
1328227085a
14164a74400
15c836835b
hex7fcb9020

2144047136 has 144 divisors (see below), whose sum is σ = 5392360512. Its totient is φ = 829785600.

The previous prime is 2144047109. The next prime is 2144047211. The reversal of 2144047136 is 6317404412.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 3397541 + ... + 3398171.

It is an arithmetic number, because the mean of its divisors is an integer number (37446948).

Almost surely, 22144047136 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 2144047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696180256).

2144047136 is an abundant number, since it is smaller than the sum of its proper divisors (3248313376).

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

2144047136 is a wasteful number, since it uses less digits than its factorization.

2144047136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2144047136 is about 46303.8565996397. The cubic root of 2144047136 is about 1289.4705950173.

The spelling of 2144047136 in words is "two billion, one hundred forty-four million, forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 197 224 308 352 392 394 539 616 631 784 788 1078 1232 1262 1379 1568 1576 2156 2167 2464 2524 2758 3152 4312 4334 4417 5048 5516 6304 6941 8624 8668 8834 9653 10096 11032 13882 15169 17248 17336 17668 19306 20192 22064 27764 30338 30919 34672 35336 38612 44128 48587 55528 60676 61838 69344 70672 77224 97174 106183 111056 121352 123676 124307 141344 154448 194348 212366 222112 242704 247352 248614 308896 340109 388696 424732 485408 494704 497228 680218 777392 849464 870149 989408 994456 1360436 1367377 1554784 1698928 1740298 1988912 2720872 2734754 3397856 3480596 3977824 5441744 5469508 6091043 6961192 9571639 10883488 10939016 12182086 13922384 19143278 21878032 24364172 27844768 38286556 43756064 48728344 67001473 76573112 97456688 134002946 153146224 194913376 268005892 306292448 536011784 1072023568 2144047136