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144002040 = 233571313187
BaseRepresentation
bin10001001010101…
…00101111111000
3101000222001122220
420211110233320
5243331031130
622142244040
73365666010
oct1045245770
9330861586
10144002040
1174315956
1240286620
1323aabb10
14151a6c40
15c997410
hex8954bf8

144002040 has 128 divisors (see below), whose sum is σ = 531740160. Its totient is φ = 30380544.

The previous prime is 144002021. The next prime is 144002101. The reversal of 144002040 is 40200441.

144002040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4327 + ... + 17513.

It is an arithmetic number, because the mean of its divisors is an integer number (4154220).

Almost surely, 2144002040 is an apocalyptic number.

144002040 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 144002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265870080).

144002040 is an abundant number, since it is smaller than the sum of its proper divisors (387738120).

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

144002040 is a wasteful number, since it uses less digits than its factorization.

144002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13221 (or 13217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144002040 is about 12000.0849996990. The cubic root of 144002040 is about 524.1507539747.

Adding to 144002040 its reverse (40200441), we get a palindrome (184202481).

The spelling of 144002040 in words is "one hundred forty-four million, two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 13187 26374 39561 52748 65935 79122 92309 105496 131870 158244 171431 184618 197805 263740 276927 316488 342862 369236 395610 461545 514293 527480 553854 685724 738472 791220 857155 923090 1028586 1107708 1200017 1371448 1384635 1582440 1714310 1846180 2057172 2215416 2400034 2571465 2769270 3428620 3600051 3692360 4114344 4800068 5142930 5538540 6000085 6857240 7200102 9600136 10285860 11077080 12000170 14400204 18000255 20571720 24000340 28800408 36000510 48000680 72001020 144002040