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144053574 = 2375961953
BaseRepresentation
bin10001001011000…
…01010101000110
3101001001200100120
420211201111012
5243334203244
622143322410
73366302160
oct1045412506
9331050316
10144053574
1174350645
12402b0406
1323ac9402
14151bb930
15c9a7819
hex8961546

144053574 has 64 divisors (see below), whose sum is σ = 340692480. Its totient is φ = 39755520.

The previous prime is 144053479. The next prime is 144053587. The reversal of 144053574 is 475350441.

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, 150682 + ... + 151634.

It is an arithmetic number, because the mean of its divisors is an integer number (5323320).

Almost surely, 2144053574 is an apocalyptic number.

144053574 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 144053574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170346240).

144053574 is an abundant number, since it is smaller than the sum of its proper divisors (196638906).

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

144053574 is a wasteful number, since it uses less digits than its factorization.

144053574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 144053574 is about 12002.2320424161. The cubic root of 144053574 is about 524.2132724487.

The spelling of 144053574 in words is "one hundred forty-four million, fifty-three thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 59 61 118 122 177 183 354 366 413 427 826 854 953 1239 1281 1906 2478 2562 2859 3599 5718 6671 7198 10797 13342 20013 21594 25193 40026 50386 56227 58133 75579 112454 116266 151158 168681 174399 337362 348798 393589 406931 787178 813862 1180767 1220793 2361534 2441586 3429847 6859694 10289541 20579082 24008929 48017858 72026787 144053574