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144345690 = 23251818861
BaseRepresentation
bin10001001101010…
…00101001011010
3101001121112001200
420212220221122
5243423030230
622153455030
73401626626
oct1046505132
9331545050
10144345690
1174530065
1240411476
1323b9c368
1415256186
15ca14160
hex89a8a5a

144345690 has 48 divisors (see below), whose sum is σ = 377414856. Its totient is φ = 38275200.

The previous prime is 144345661. The next prime is 144345697. The reversal of 144345690 is 96543441.

It can be written as a sum of positive squares in 4 ways, for example, as 115412049 + 28933641 = 10743^2 + 5379^2 .

It is a super-2 number, since 2×1443456902 = 41671356443152200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144345697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11860 + ... + 20720.

Almost surely, 2144345690 is an apocalyptic number.

144345690 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 144345690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188707428).

144345690 is an abundant number, since it is smaller than the sum of its proper divisors (233069166).

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

144345690 is a wasteful number, since it uses less digits than its factorization.

144345690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 144345690 is about 12014.3951158600. The cubic root of 144345690 is about 524.5673714797.

The spelling of 144345690 in words is "one hundred forty-four million, three hundred forty-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 8861 16290 17722 26583 44305 53166 79749 88610 132915 159498 265830 398745 797490 1603841 3207682 4811523 8019205 9623046 14434569 16038410 24057615 28869138 48115230 72172845 144345690