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1442403456 = 273132831021
BaseRepresentation
bin101010111111001…
…0101010010000000
310201112010200120020
41111332111102000
510423223402311
6355043413440
750513140614
oct12576252200
93645120506
101442403456
1168022107a
12343084280
1319caa7290
14d97cd344
158696dc06
hex55f95480

1442403456 has 128 divisors (see below), whose sum is σ = 4144741440. Its totient is φ = 441815040.

The previous prime is 1442403419. The next prime is 1442403461. The reversal of 1442403456 is 6543042441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1412226 + ... + 1413246.

Almost surely, 21442403456 is an apocalyptic number.

1442403456 is a gapful number since it is divisible by the number (16) 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 1442403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072370720).

1442403456 is an abundant number, since it is smaller than the sum of its proper divisors (2702337984).

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

1442403456 is a wasteful number, since it uses less digits than its factorization.

1442403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 1442403456 is about 37978.9870323051. The cubic root of 1442403456 is about 1129.8711461918.

Adding to 1442403456 its reverse (6543042441), we get a palindrome (7985445897).

It can be divided in two parts, 144240 and 3456, that added together give a triangular number (147696 = T543).

The spelling of 1442403456 in words is "one billion, four hundred forty-two million, four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 283 312 384 416 566 624 832 849 1021 1132 1248 1664 1698 2042 2264 2496 3063 3396 3679 4084 4528 4992 6126 6792 7358 8168 9056 11037 12252 13273 13584 14716 16336 18112 22074 24504 26546 27168 29432 32672 36224 39819 44148 49008 53092 54336 58864 65344 79638 88296 98016 106184 108672 117728 130688 159276 176592 196032 212368 235456 288943 318552 353184 392064 424736 470912 577886 637104 706368 849472 866829 1155772 1274208 1412736 1698944 1733658 2311544 2548416 3467316 3756259 4623088 5096832 6934632 7512518 9246176 11268777 13869264 15025036 18492352 22537554 27738528 30050072 36984704 45075108 55477056 60100144 90150216 110954112 120200288 180300432 240400576 360600864 480801152 721201728 1442403456