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144102420 = 2232571137281
BaseRepresentation
bin10001001011011…
…01010000010100
3101001011011100200
420211231100110
5243342234140
622144340500
73366564450
oct1045552024
9331134320
10144102420
1174384310
1240314730
1323b15707
14151d1660
15c9b7030
hex896d414

144102420 has 288 divisors, whose sum is σ = 561689856. Its totient is φ = 29030400.

The previous prime is 144102419. The next prime is 144102437. The reversal of 144102420 is 24201441.

144102420 is a `hidden beast` number, since 14 + 410 + 242 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144102393 and 144102402.

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 95 ways as a sum of consecutive naturals, for example, 512680 + ... + 512960.

It is an arithmetic number, because the mean of its divisors is an integer number (1950312).

Almost surely, 2144102420 is an apocalyptic number.

144102420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280844928).

144102420 is an abundant number, since it is smaller than the sum of its proper divisors (417587436).

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

144102420 is a wasteful number, since it uses less digits than its factorization.

144102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144102420 is about 12004.2667414549. The cubic root of 144102420 is about 524.2725162129.

Adding to 144102420 its reverse (24201441), we get a palindrome (168303861).

The spelling of 144102420 in words is "one hundred forty-four million, one hundred two thousand, four hundred twenty".