Search a number
-
+
2144242032 = 243713371867
BaseRepresentation
bin111111111001110…
…1000100101110000
312112102202210002120
41333303220211300
513342411221112
6552434314240
7104064520332
oct17763504560
95472683076
102144242032
11a00406859
124ba128980
1328230b48a
14164ac5452
15c83a5e8c
hex7fce8970

2144242032 has 80 divisors (see below), whose sum is σ = 5636996352. Its totient is φ = 702213120.

The previous prime is 2144242013. The next prime is 2144242043. The reversal of 2144242032 is 2302424412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2144241993 and 2144242011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147563 + ... + 1149429.

Almost surely, 22144242032 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 2144242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818498176).

2144242032 is an abundant number, since it is smaller than the sum of its proper divisors (3492754320).

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

2144242032 is a wasteful number, since it uses less digits than its factorization.

2144242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2144242032 is about 46305.9610849402. The cubic root of 2144242032 is about 1289.5096652166.

Adding to 2144242032 its reverse (2302424412), we get a palindrome (4446666444).

The spelling of 2144242032 in words is "two billion, one hundred forty-four million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 337 426 568 674 852 1011 1136 1348 1704 1867 2022 2696 3408 3734 4044 5392 5601 7468 8088 11202 14936 16176 22404 23927 29872 44808 47854 71781 89616 95708 132557 143562 191416 265114 287124 382832 397671 530228 574248 629179 795342 1060456 1148496 1258358 1590684 1887537 2120912 2516716 3181368 3775074 5033432 6362736 7550148 10066864 15100296 30200592 44671709 89343418 134015127 178686836 268030254 357373672 536060508 714747344 1072121016 2144242032