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1442364144 = 243133736197
BaseRepresentation
bin101010111111000…
…1011101011110000
310201112001200122020
41111332023223300
510423221123034
6355042511440
750512615164
oct12576135360
93645050566
101442364144
116801a4591
12343065580
1319ca92410
14d97bcca4
1586962249
hex55f8baf0

1442364144 has 80 divisors (see below), whose sum is σ = 4024138272. Its totient is φ = 442543104.

The previous prime is 1442364127. The next prime is 1442364163. The reversal of 1442364144 is 4414632441.

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

It is a congruent number.

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, 229654 + ... + 235850.

Almost surely, 21442364144 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 1442364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012069136).

1442364144 is an abundant number, since it is smaller than the sum of its proper divisors (2581774128).

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

1442364144 is a wasteful number, since it uses less digits than its factorization.

1442364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6594 (or 6588 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 1442364144 is about 37978.4694794301. The cubic root of 1442364144 is about 1129.8608814036.

Adding to 1442364144 its reverse (4414632441), we get a palindrome (5856996585).

The spelling of 1442364144 in words is "one billion, four hundred forty-two million, three hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 373 624 746 1119 1492 2238 2984 4476 4849 5968 6197 8952 9698 12394 14547 17904 18591 19396 24788 29094 37182 38792 49576 58188 74364 77584 80561 99152 116376 148728 161122 232752 241683 297456 322244 483366 644488 966732 1288976 1933464 2311481 3866928 4622962 6934443 9245924 13868886 18491848 27737772 30049253 36983696 55475544 60098506 90147759 110951088 120197012 180295518 240394024 360591036 480788048 721182072 1442364144