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144246440 = 23513713907
BaseRepresentation
bin10001001100100…
…00011010101000
3101001102110220202
420212100122220
5243411341230
622151411332
73401034362
oct1046203250
9331373822
10144246440
1174472538
1240383b48
1323b66130
141522bd32
15c9e4a45
hex89906a8

144246440 has 64 divisors (see below), whose sum is σ = 354533760. Its totient is φ = 52496640.

The previous prime is 144246433. The next prime is 144246449. The reversal of 144246440 is 44642441.

It is not an unprimeable number, because it can be changed into a prime (144246449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34967 + ... + 38873.

It is an arithmetic number, because the mean of its divisors is an integer number (5539590).

Almost surely, 2144246440 is an apocalyptic number.

144246440 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 144246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177266880).

144246440 is an abundant number, since it is smaller than the sum of its proper divisors (210287320).

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

144246440 is a wasteful number, since it uses less digits than its factorization.

144246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 144246440 is about 12010.2639438107. The cubic root of 144246440 is about 524.4471156114.

Adding to 144246440 its reverse (44642441), we get a palindrome (188888881).

The spelling of 144246440 in words is "one hundred forty-four million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3692 3907 4615 7384 7814 9230 15628 18460 19535 31256 36920 39070 50791 78140 101582 156280 203164 253955 277397 406328 507910 554794 1015820 1109588 1386985 2031640 2219176 2773970 3606161 5547940 7212322 11095880 14424644 18030805 28849288 36061610 72123220 144246440