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144257070 = 23517614637
BaseRepresentation
bin10001001100100…
…11000000101110
3101001110000111110
420212103000232
5243412211240
622151532450
73401110356
oct1046230056
9331400443
10144257070
117447a521
124038a126
1323b6ac19
1415231b66
15c9e7c80
hex899302e

144257070 has 64 divisors (see below), whose sum is σ = 372672576. Its totient is φ = 35604480.

The previous prime is 144257059. The next prime is 144257093. The reversal of 144257070 is 70752441.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28792 + ... + 33428.

It is an arithmetic number, because the mean of its divisors is an integer number (5823009).

Almost surely, 2144257070 is an apocalyptic number.

144257070 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 144257070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186336288).

144257070 is an abundant number, since it is smaller than the sum of its proper divisors (228415506).

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

144257070 is a wasteful number, since it uses less digits than its factorization.

144257070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 144257070 is about 12010.7064738091. The cubic root of 144257070 is about 524.4599980458.

The spelling of 144257070 in words is "one hundred forty-four million, two hundred fifty-seven thousand, seventy".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 915 1037 1830 2074 3111 4637 5185 6222 9274 10370 13911 15555 23185 27822 31110 46370 69555 78829 139110 157658 236487 282857 394145 472974 565714 788290 848571 1182435 1414285 1697142 2364870 2828570 4242855 4808569 8485710 9617138 14425707 24042845 28851414 48085690 72128535 144257070