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1434044144 = 241335319531
BaseRepresentation
bin101010101111001…
…1100011011110000
310200221101222202002
41111132130123300
510414103403034
6354144313132
750352113501
oct12536343360
93627358662
101434044144
11676531655
123403127a8
1319b13b440
14d8654ba8
1585d6be7e
hex5579c6f0

1434044144 has 40 divisors (see below), whose sum is σ = 3000818352. Its totient is φ = 659957760.

The previous prime is 1434044107. The next prime is 1434044179. The reversal of 1434044144 is 4414404341.

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 7 ways as a sum of consecutive naturals, for example, 63659 + ... + 83189.

Almost surely, 21434044144 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 1434044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500409176).

1434044144 is an abundant number, since it is smaller than the sum of its proper divisors (1566774208).

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

1434044144 is a wasteful number, since it uses less digits than its factorization.

1434044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19905 (or 19899 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

The square root of 1434044144 is about 37868.7753168755. The cubic root of 1434044144 is about 1127.6842291344.

Adding to 1434044144 its reverse (4414404341), we get a palindrome (5848448485).

The spelling of 1434044144 in words is "one billion, four hundred thirty-four million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 353 706 1412 2824 4589 5648 9178 18356 19531 36712 39062 73424 78124 156248 253903 312496 507806 1015612 2031224 4062448 6894443 13788886 27577772 55155544 89627759 110311088 179255518 358511036 717022072 1434044144