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4124231424 = 28331733449
BaseRepresentation
bin1111010111010010…
…1100011100000000
3101122102110122221000
43311310230130000
531421300401144
61521124332000
7204126250215
oct36564543400
911572418830
104124231424
111827026125
12971244000
1350959a631
142b1a51b0c
15192114769
hexf5d2c700

4124231424 has 144 divisors (see below), whose sum is σ = 12270132000. Its totient is φ = 1366401024.

The previous prime is 4124231389. The next prime is 4124231443. The reversal of 4124231424 is 4241324214.

4124231424 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 231 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1194052 + ... + 1197500.

It is an arithmetic number, because the mean of its divisors is an integer number (85209250).

Almost surely, 24124231424 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 4124231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135066000).

4124231424 is an abundant number, since it is smaller than the sum of its proper divisors (8145900576).

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

4124231424 is a wasteful number, since it uses less digits than its factorization.

4124231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3627 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4124231424 is about 64220.1792585477. The cubic root of 4124231424 is about 1603.6675534008.

Adding to 4124231424 its reverse (4241324214), we get a palindrome (8365555638).

The spelling of 4124231424 in words is "four billion, one hundred twenty-four million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 173 192 216 256 288 346 384 432 519 576 692 768 864 1038 1152 1384 1557 1728 2076 2304 2768 3114 3449 3456 4152 4671 5536 6228 6898 6912 8304 9342 10347 11072 12456 13796 16608 18684 20694 22144 24912 27592 31041 33216 37368 41388 44288 49824 55184 62082 66432 74736 82776 93123 99648 110368 124164 132864 149472 165552 186246 199296 220736 248328 298944 331104 372492 398592 441472 496656 596677 597888 662208 744984 882944 993312 1193354 1195776 1324416 1489968 1790031 1986624 2386708 2648832 2979936 3580062 3973248 4773416 5370093 5959872 7160124 7946496 9546832 10740186 11919744 14320248 16110279 19093664 21480372 23839488 28640496 32220558 38187328 42960744 57280992 64441116 76374656 85921488 114561984 128882232 152749312 171842976 229123968 257764464 343685952 458247936 515528928 687371904 1031057856 1374743808 2062115712 4124231424