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144398790 = 232537103421
BaseRepresentation
bin10001001101101…
…01100111000110
3101001201012220100
420212311213012
5243431230130
622154544530
73402240504
oct1046654706
9331635810
10144398790
1174566a48
1240438146
1323bba593
141526b674
15ca24c60
hex89b59c6

144398790 has 96 divisors (see below), whose sum is σ = 390252096. Its totient is φ = 37013760.

The previous prime is 144398789. The next prime is 144398809. The reversal of 144398790 is 97893441.

144398790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342780 + ... + 343200.

It is an arithmetic number, because the mean of its divisors is an integer number (4065126).

Almost surely, 2144398790 is an apocalyptic number.

144398790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144398790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195126048).

144398790 is an abundant number, since it is smaller than the sum of its proper divisors (245853306).

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

144398790 is a wasteful number, since it uses less digits than its factorization.

144398790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 144398790 is about 12016.6047617453. The cubic root of 144398790 is about 524.6316872495.

The spelling of 144398790 in words is "one hundred forty-four million, three hundred ninety-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 103 111 185 206 222 309 333 370 421 515 555 618 666 842 927 1030 1110 1263 1545 1665 1854 2105 2526 3090 3330 3789 3811 4210 4635 6315 7578 7622 9270 11433 12630 15577 18945 19055 22866 31154 34299 37890 38110 43363 46731 57165 68598 77885 86726 93462 114330 130089 140193 155770 171495 216815 233655 260178 280386 342990 390267 433630 467310 650445 700965 780534 1300890 1401930 1604431 1951335 3208862 3902670 4813293 8022155 9626586 14439879 16044310 24066465 28879758 48132930 72199395 144398790