Search a number
-
+
144899776 = 2671929587
BaseRepresentation
bin10001010001011…
…11111011000000
3101002122200010101
420220233323000
5244043243101
622213412144
73406425220
oct1050577300
9332580111
10144899776
117487938a
124063a054
1324034618
141535c080
15cac3401
hex8a2fec0

144899776 has 112 divisors (see below), whose sum is σ = 358444800. Its totient is φ = 56706048.

The previous prime is 144899767. The next prime is 144899791. The reversal of 144899776 is 677998441.

144899776 is a nontrivial binomial coefficient, being equal to C(17024, 2).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246555 + ... + 247141.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2144899776 is an apocalyptic number.

144899776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

144899776 is the 17023-rd triangular number and also the 8512-nd hexagonal number.

144899776 is the 5675-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144899776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179222400).

144899776 is an abundant number, since it is smaller than the sum of its proper divisors (213545024).

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

144899776 is a wasteful number, since it uses less digits than its factorization.

144899776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 55.

The square root of 144899776 is about 12037.4322843371. The cubic root of 144899776 is about 525.2377166858.

The spelling of 144899776 in words is "one hundred forty-four million, eight hundred ninety-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 64 76 112 116 133 152 203 224 232 266 304 406 448 464 532 551 587 608 812 928 1064 1102 1174 1216 1624 1856 2128 2204 2348 3248 3857 4109 4256 4408 4696 6496 7714 8218 8512 8816 9392 11153 12992 15428 16436 17023 17632 18784 22306 30856 32872 34046 35264 37568 44612 61712 65744 68092 78071 89224 119161 123424 131488 136184 156142 178448 238322 246848 262976 272368 312284 323437 356896 476644 544736 624568 646874 713792 953288 1089472 1249136 1293748 1906576 2264059 2498272 2587496 3813152 4528118 4996544 5174992 7626304 9056236 10349984 18112472 20699968 36224944 72449888 144899776