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144132996 = 223723611223
BaseRepresentation
bin10001001011101…
…00101110000100
3101001012201022010
420211310232010
5243344223441
622145134220
73400052550
oct1045645604
9331181263
10144132996
11743a5287
124032a370
1323b265c7
14151dc860
15c9c1116
hex8974b84

144132996 has 96 divisors (see below), whose sum is σ = 407973888. Its totient is φ = 38712960.

The previous prime is 144132991. The next prime is 144132997. The reversal of 144132996 is 699231441.

It is not an unprimeable number, because it can be changed into a prime (144132991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117241 + ... + 118463.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2144132996 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 144132996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944).

144132996 is an abundant number, since it is smaller than the sum of its proper divisors (263840892).

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

144132996 is a wasteful number, since it uses less digits than its factorization.

144132996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1319 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 144132996 is about 12005.5402210813. The cubic root of 144132996 is about 524.3095940608.

The spelling of 144132996 in words is "one hundred forty-four million, one hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 61 69 84 92 122 138 161 183 244 276 322 366 427 483 644 732 854 966 1223 1281 1403 1708 1932 2446 2562 2806 3669 4209 4892 5124 5612 7338 8418 8561 9821 14676 16836 17122 19642 25683 28129 29463 34244 39284 51366 56258 58926 74603 84387 102732 112516 117852 149206 168774 196903 223809 298412 337548 393806 447618 522221 590709 787612 895236 1044442 1181418 1566663 1715869 2088884 2362836 3133326 3431738 5147607 6266652 6863476 10295214 12011083 20590428 24022166 36033249 48044332 72066498 144132996