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1442312448 = 28329312089
BaseRepresentation
bin101010111110111…
…1111000100000000
310201111222001201120
41111331333010000
510423212444243
6355041432240
750512311363
oct12575770400
93644861646
101442312448
11680169765
1234303b680
1319ca74a25
14d97a80da
1586951c83
hex55f7f100

1442312448 has 144 divisors (see below), whose sum is σ = 4101081600. Its totient is φ = 449003520.

The previous prime is 1442312413. The next prime is 1442312449. The reversal of 1442312448 is 8442132441.

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

It is not an unprimeable number, because it can be changed into a prime (1442312449) 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, 689388 + ... + 691476.

Almost surely, 21442312448 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 1442312448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050540800).

1442312448 is an abundant number, since it is smaller than the sum of its proper divisors (2658769152).

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

1442312448 is a wasteful number, since it uses less digits than its factorization.

1442312448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 1442312448 is about 37977.7888771845. The cubic root of 1442312448 is about 1129.8473827352.

Adding to 1442312448 its reverse (8442132441), we get a palindrome (9884444889).

The spelling of 1442312448 in words is "one billion, four hundred forty-two million, three hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 348 372 384 464 496 696 744 768 899 928 992 1392 1488 1798 1856 1984 2089 2697 2784 2976 3596 3712 3968 4178 5394 5568 5952 6267 7192 7424 7936 8356 10788 11136 11904 12534 14384 16712 21576 22272 23808 25068 28768 33424 43152 50136 57536 60581 64759 66848 86304 100272 115072 121162 129518 133696 172608 181743 194277 200544 230144 242324 259036 267392 345216 363486 388554 401088 484648 518072 534784 690432 726972 777108 802176 969296 1036144 1453944 1554216 1604352 1878011 1938592 2072288 2907888 3108432 3756022 3877184 4144576 5634033 5815776 6216864 7512044 7754368 8289152 11268066 11631552 12433728 15024088 15508736 16578304 22536132 23263104 24867456 30048176 45072264 46526208 49734912 60096352 90144528 120192704 180289056 240385408 360578112 480770816 721156224 1442312448