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2144954532 = 2237172149593
BaseRepresentation
bin111111111011001…
…0110100010100100
312112111002222110110
41333312112202210
513343102021112
6552501453020
7104103545520
oct17766264244
95474088413
102144954532
11a008530a6
124ba411170
132824ca886
14164c2cd80
15c849713c
hex7fd968a4

2144954532 has 144 divisors (see below), whose sum is σ = 6127228800. Its totient is φ = 571957248.

The previous prime is 2144954531. The next prime is 2144954551. The reversal of 2144954532 is 2354594412.

It is not an unprimeable number, because it can be changed into a prime (2144954531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3616828 + ... + 3617420.

It is an arithmetic number, because the mean of its divisors is an integer number (42550200).

Almost surely, 22144954532 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 2144954532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063614400).

2144954532 is an abundant number, since it is smaller than the sum of its proper divisors (3982274268).

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

2144954532 is a wasteful number, since it uses less digits than its factorization.

2144954532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 771 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 2144954532 is about 46313.6538398775. The cubic root of 2144954532 is about 1289.6524777468.

The spelling of 2144954532 in words is "two billion, one hundred forty-four million, nine hundred fifty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 149 204 238 289 298 357 447 476 578 593 596 714 867 894 1043 1156 1186 1428 1734 1779 1788 2023 2086 2372 2533 3129 3468 3558 4046 4151 4172 5066 6069 6258 7116 7599 8092 8302 10081 10132 12138 12453 12516 15198 16604 17731 20162 24276 24906 30243 30396 35462 40324 43061 49812 53193 60486 70567 70924 86122 88357 106386 120972 129183 141134 171377 172244 176714 211701 212772 258366 265071 282268 301427 342754 353428 423402 514131 516732 530142 602854 618499 685508 846804 904281 1028262 1060284 1199639 1205708 1236998 1502069 1808562 1855497 2056524 2399278 2473996 3004138 3598917 3617124 3710994 4506207 4798556 6008276 7197834 7421988 9012414 10514483 14395668 18024828 21028966 25535173 31543449 42057932 51070346 63086898 76605519 102140692 126173796 153211038 178746211 306422076 357492422 536238633 714984844 1072477266 2144954532