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144689874 = 23729211563
BaseRepresentation
bin10001001111111…
…00101011010010
3101002021000012020
420213330223102
5244020033444
622205112310
73404562240
oct1047745322
9332230166
10144689874
117474570a
1240558696
1323c8cc14
1415305790
15ca81119
hex89fcad2

144689874 has 64 divisors (see below), whose sum is σ = 344355840. Its totient is φ = 39654720.

The previous prime is 144689851. The next prime is 144689879. The reversal of 144689874 is 478986441.

It is not an unprimeable number, because it can be changed into a prime (144689879) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256717 + ... + 257279.

It is an arithmetic number, because the mean of its divisors is an integer number (5380560).

Almost surely, 2144689874 is an apocalyptic number.

144689874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144689874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172177920).

144689874 is an abundant number, since it is smaller than the sum of its proper divisors (199665966).

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

144689874 is a wasteful number, since it uses less digits than its factorization.

144689874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its digits is 1548288, while the sum is 51.

The square root of 144689874 is about 12028.7104046943. The cubic root of 144689874 is about 524.9839741140.

It can be divided in two parts, 14468 and 9874, that added together give a palindrome (24342).

The spelling of 144689874 in words is "one hundred forty-four million, six hundred eighty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 211 406 422 563 609 633 1126 1218 1266 1477 1689 2954 3378 3941 4431 6119 7882 8862 11823 12238 16327 18357 23646 32654 36714 42833 48981 85666 97962 114289 118793 128499 228578 237586 256998 342867 356379 685734 712758 831551 1663102 2494653 3444997 4989306 6889994 10334991 20669982 24114979 48229958 72344937 144689874