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4214450144 = 251747191863
BaseRepresentation
bin1111101100110011…
…0110011111100000
3101212201020020202002
43323030312133200
532112344401034
61534110143132
7206303143442
oct37314663740
911781206662
104214450144
111872a46853
129974b1aa8
13522197ca8
142bda18492
15199ed5e7e
hexfb3367e0

4214450144 has 96 divisors (see below), whose sum is σ = 9029615616. Its totient is φ = 1928673280.

The previous prime is 4214450117. The next prime is 4214450153. The reversal of 4214450144 is 4410544124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4883057 + ... + 4883919.

It is an arithmetic number, because the mean of its divisors is an integer number (94058496).

Almost surely, 24214450144 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 4214450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514807808).

4214450144 is an abundant number, since it is smaller than the sum of its proper divisors (4815165472).

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

4214450144 is a wasteful number, since it uses less digits than its factorization.

4214450144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 4214450144 is about 64918.7965384449. The cubic root of 4214450144 is about 1615.2768674204.

Adding to 4214450144 its reverse (4410544124), we get a palindrome (8624994268).

The spelling of 4214450144 in words is "four billion, two hundred fourteen million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 47 68 94 136 188 191 272 376 382 544 752 764 799 863 1504 1528 1598 1726 3056 3196 3247 3452 6112 6392 6494 6904 8977 12784 12988 13808 14671 17954 25568 25976 27616 29342 35908 40561 51952 58684 71816 81122 103904 117368 143632 152609 162244 164833 234736 287264 305218 324488 329666 469472 610436 648976 659332 689537 1220872 1297952 1318664 1379074 2441744 2637328 2758148 2802161 4883488 5274656 5516296 5604322 7747151 11032592 11208644 15494302 22065184 22417288 30988604 44834576 61977208 89669152 123954416 131701567 247908832 263403134 526806268 1053612536 2107225072 4214450144