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4301012144 = 2411132236287
BaseRepresentation
bin1000000000101110…
…00011110010110000
3102002202010001111002
410000113003302300
532302024342034
61550441341132
7211404000002
oct40027036260
912082101432
104301012144
11190789a0a0
12a004977a8
135370b5100
142cb30c372
151a28d3e7e
hex1005c3cb0

4301012144 has 120 divisors (see below), whose sum is σ = 10273485312. Its totient is φ = 1725884160.

The previous prime is 4301012101. The next prime is 4301012147. The reversal of 4301012144 is 4412101034.

It is not an unprimeable number, because it can be changed into a prime (4301012147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 680969 + ... + 687255.

Almost surely, 24301012144 is an apocalyptic number.

4301012144 is a gapful number since it is divisible by the number (44) 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 4301012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136742656).

4301012144 is an abundant number, since it is smaller than the sum of its proper divisors (5972473168).

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

4301012144 is a wasteful number, since it uses less digits than its factorization.

4301012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4301012144 is about 65582.1023145797. The cubic root of 4301012144 is about 1626.2609093516.

Adding to 4301012144 its reverse (4412101034), we get a palindrome (8713113178).

The spelling of 4301012144 in words is "four billion, three hundred one million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 169 176 184 208 253 286 299 338 368 506 572 598 676 1012 1144 1196 1352 1859 2024 2288 2392 2704 3289 3718 3887 4048 4784 6287 6578 7436 7774 12574 13156 14872 15548 25148 26312 29744 31096 42757 50296 52624 62192 69157 81731 85514 100592 138314 144601 163462 171028 276628 289202 326924 342056 553256 578404 653848 684112 899041 1062503 1106512 1156808 1307696 1590611 1798082 1879813 2125006 2313616 3181222 3596164 3759626 4250012 6362444 7192328 7519252 8500024 11687533 12724888 14384656 15038504 17000048 20677943 23375066 24437569 25449776 30077008 41355886 46750132 48875138 82711772 93500264 97750276 165423544 187000528 195500552 268813259 330847088 391001104 537626518 1075253036 2150506072 4301012144