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144206503728 = 24372223274943
BaseRepresentation
bin1000011001001101100…
…0001001111100110000
3111210012222222102001120
42012103120021330300
54330313331104403
6150125245502240
713263400025400
oct2062330117460
9453188872046
10144206503728
11561808a2701
1223b46571980
13107a2207061
146da0178800
153b40187e53
hex2193609f30

144206503728 has 120 divisors (see below), whose sum is σ = 435300139008. Its totient is φ = 41016947328.

The previous prime is 144206503663. The next prime is 144206503801. The reversal of 144206503728 is 827305602441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 144206503728.

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, 387025 + ... + 661967.

Almost surely, 2144206503728 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 144206503728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217650069504).

144206503728 is an abundant number, since it is smaller than the sum of its proper divisors (291093635280).

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

144206503728 is a wasteful number, since it uses less digits than its factorization.

144206503728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275191 (or 275178 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 144206503728 in words is "one hundred forty-four billion, two hundred six million, five hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 223 294 336 392 446 588 669 784 892 1176 1338 1561 1784 2352 2676 3122 3568 4683 5352 6244 9366 10704 10927 12488 18732 21854 24976 32781 37464 43708 65562 74928 87416 131124 174832 262248 274943 524496 549886 824829 1099772 1649658 1924601 2199544 3299316 3849202 4399088 5773803 6598632 7698404 11547606 13197264 13472207 15396808 23095212 26944414 30793616 40416621 46190424 53888828 61312289 80833242 92380848 107777656 122624578 161666484 183936867 215555312 245249156 323332968 367873734 429186023 490498312 646665936 735747468 858372046 980996624 1287558069 1471494936 1716744092 2575116138 2942989872 3004302161 3433488184 5150232276 6008604322 6866976368 9012906483 10300464552 12017208644 18025812966 20600929104 24034417288 36051625932 48068834576 72103251864 144206503728