Search a number
-
+
1419462144 = 29363803
BaseRepresentation
bin101010010011011…
…0100011000000000
310122220222011000000
41110212310120000
510401340242034
6352504000000
750114141412
oct12446643000
93586864000
101419462144
11669281a11
12337460000
13198104139
14d673a9b2
158493b599
hex549b4600

1419462144 has 140 divisors (see below), whose sum is σ = 4253400756. Its totient is φ = 473029632.

The previous prime is 1419462137. The next prime is 1419462173. The reversal of 1419462144 is 4412649141.

It is a happy number.

1419462144 is a `hidden beast` number, since 14 + 19 + 4 + 621 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1419462099 and 1419462108.

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 13 ways as a sum of consecutive naturals, for example, 371347 + ... + 375149.

Almost surely, 21419462144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1419462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126700378).

1419462144 is an abundant number, since it is smaller than the sum of its proper divisors (2833938612).

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

1419462144 is an frugal number, since it uses more digits than its factorization.

1419462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3808 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1419462144 is about 37675.7500787974. The cubic root of 1419462144 is about 1123.8489346671.

The spelling of 1419462144 in words is "one billion, four hundred nineteen million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3803 3888 4608 5184 5832 6912 7606 7776 10368 11409 11664 13824 15212 15552 20736 22818 23328 30424 31104 34227 41472 45636 46656 60848 62208 68454 91272 93312 102681 121696 124416 136908 182544 186624 205362 243392 273816 308043 365088 373248 410724 486784 547632 616086 730176 821448 924129 973568 1095264 1232172 1460352 1642896 1848258 1947136 2190528 2464344 2772387 2920704 3285792 3696516 4381056 4928688 5544774 5841408 6571584 7393032 8762112 9857376 11089548 13143168 14786064 17524224 19714752 22179096 26286336 29572128 39429504 44358192 52572672 59144256 78859008 88716384 118288512 157718016 177432768 236577024 354865536 473154048 709731072 1419462144