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144174420 = 223251361613
BaseRepresentation
bin10001001011111…
…10110101010100
3101001021211010100
420211332311110
5243402040140
622150054100
73400314405
oct1045766524
9331254110
10144174420
1174423415
124034a330
1323b3c410
141520d9ac
15c9cd530
hex897ed54

144174420 has 72 divisors (see below), whose sum is σ = 470977416. Its totient is φ = 35488512.

The previous prime is 144174379. The next prime is 144174461. The reversal of 144174420 is 24471441.

It is an interprime number because it is at equal distance from previous prime (144174379) and next prime (144174461).

It can be written as a sum of positive squares in 4 ways, for example, as 8964036 + 135210384 = 2994^2 + 11628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28467 + ... + 33146.

It is an arithmetic number, because the mean of its divisors is an integer number (6541353).

Almost surely, 2144174420 is an apocalyptic number.

144174420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144174420 is an abundant number, since it is smaller than the sum of its proper divisors (326802996).

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

144174420 is a wasteful number, since it uses less digits than its factorization.

144174420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61641 (or 61636 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 144174420 is about 12007.2653006419. The cubic root of 144174420 is about 524.3598183233.

The spelling of 144174420 in words is "one hundred forty-four million, one hundred seventy-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 61613 123226 184839 246452 308065 369678 554517 616130 739356 800969 924195 1109034 1232260 1601938 1848390 2218068 2402907 2772585 3203876 3696780 4004845 4805814 5545170 7208721 8009690 9611628 11090340 12014535 14417442 16019380 24029070 28834884 36043605 48058140 72087210 144174420