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1424144340 = 223253128233
BaseRepresentation
bin101010011100010…
…1011011111010100
310200020210000202200
41110320223133110
510404040104330
6353152204500
750202012213
oct12470533724
93606700680
101424144340
1167098a7a3
12338b39730
13199083378
14d71d907a
1585063a60
hex54e2b7d4

1424144340 has 108 divisors (see below), whose sum is σ = 4464293652. Its totient is φ = 367476480.

The previous prime is 1424144317. The next prime is 1424144387. The reversal of 1424144340 is 434414241.

1424144340 is a `hidden beast` number, since 142 + 41 + 443 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 388720656 + 1035423684 = 19716^2 + 32178^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168864 + ... + 177096.

Almost surely, 21424144340 is an apocalyptic number.

1424144340 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 1424144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232146826).

1424144340 is an abundant number, since it is smaller than the sum of its proper divisors (3040149312).

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

1424144340 is a wasteful number, since it uses less digits than its factorization.

1424144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8274 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1424144340 is about 37737.8369809400. The cubic root of 1424144340 is about 1125.0832767983.

Adding to 1424144340 its reverse (434414241), we get a palindrome (1858558581).

The spelling of 1424144340 in words is "one billion, four hundred twenty-four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 961 1116 1395 1860 1922 2790 2883 3844 4805 5580 5766 8233 8649 9610 11532 14415 16466 17298 19220 24699 28830 32932 34596 41165 43245 49398 57660 74097 82330 86490 98796 123495 148194 164660 172980 246990 255223 296388 370485 493980 510446 740970 765669 1020892 1276115 1481940 1531338 2297007 2552230 3062676 3828345 4594014 5104460 7656690 7911913 9188028 11485035 15313380 15823826 22970070 23735739 31647652 39559565 45940140 47471478 71207217 79119130 94942956 118678695 142414434 158238260 237357390 284828868 356036085 474714780 712072170 1424144340