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144397110 = 235111397347
BaseRepresentation
bin10001001101101…
…01001100110110
3101001201010121010
420212311030312
5243431201420
622154533050
73402232554
oct1046651466
9331633533
10144397110
1174565760
1240437186
1323bb98a0
141526abd4
15ca244e0
hex89b5336

144397110 has 128 divisors (see below), whose sum is σ = 412521984. Its totient is φ = 31887360.

The previous prime is 144397109. The next prime is 144397117. The reversal of 144397110 is 11793441.

144397110 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 (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144397117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 415957 + ... + 416303.

It is an arithmetic number, because the mean of its divisors is an integer number (3222828).

Almost surely, 2144397110 is an apocalyptic number.

144397110 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 144397110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206260992).

144397110 is an abundant number, since it is smaller than the sum of its proper divisors (268124874).

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

144397110 is a wasteful number, since it uses less digits than its factorization.

144397110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 144397110 is about 12016.5348582693. The cubic root of 144397110 is about 524.6296526419.

The spelling of 144397110 in words is "one hundred forty-four million, three hundred ninety-seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 97 110 130 143 165 194 195 286 291 330 347 390 429 485 582 694 715 858 970 1041 1067 1261 1430 1455 1735 2082 2134 2145 2522 2910 3201 3470 3783 3817 4290 4511 5205 5335 6305 6402 7566 7634 9022 10410 10670 11451 12610 13533 13871 16005 18915 19085 22555 22902 27066 27742 32010 33659 37830 38170 41613 45110 49621 57255 67318 67665 69355 83226 99242 100977 114510 135330 138710 148863 168295 201954 208065 248105 297726 336590 370249 416130 437567 496210 504885 740498 744315 875134 1009770 1110747 1312701 1488630 1851245 2187835 2221494 2625402 3702490 4375670 4813237 5553735 6563505 9626474 11107470 13127010 14439711 24066185 28879422 48132370 72198555 144397110