Search a number
-
+
424044323300 = 22521317912771427
BaseRepresentation
bin1100010101110110000…
…00101110000111100100
31111112112101012112211102
412022323000232013210
523421420321321200
6522445301255232
742431133163643
oct6127300560744
91445471175742
10424044323300
11153921a69374
126a223704518
1330caab85c90
141674965935a
15b06c7426d5
hex62bb02e1e4

424044323300 has 144 divisors (see below), whose sum is σ = 997974250560. Its totient is φ = 155464573440.

The previous prime is 424044323243. The next prime is 424044323369. The reversal of 424044323300 is 3323440424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297157187 + ... + 297158613.

It is an arithmetic number, because the mean of its divisors is an integer number (6930376740).

Almost surely, 2424044323300 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 424044323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498987125280).

424044323300 is an abundant number, since it is smaller than the sum of its proper divisors (573929927260).

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

424044323300 is a wasteful number, since it uses less digits than its factorization.

424044323300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 424044323300 its reverse (3323440424), we get a palindrome (427367763724).

The spelling of 424044323300 in words is "four hundred twenty-four billion, forty-four million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 179 260 325 358 650 716 895 1277 1300 1427 1790 2327 2554 2854 3580 4475 4654 5108 5708 6385 7135 8950 9308 11635 12770 14270 16601 17900 18551 23270 25540 28540 31925 33202 35675 37102 46540 58175 63850 66404 71350 74204 83005 92755 116350 127700 142700 166010 185510 228583 232700 255433 332020 371020 415025 457166 463775 510866 830050 914332 927550 1021732 1142915 1277165 1660100 1822279 1855100 2285830 2554330 2971579 3320629 3644558 4571660 5108660 5714575 5943158 6385825 6641258 7289116 9111395 11429150 11886316 12771650 13282516 14857895 16603145 18222790 22858300 23689627 25543300 29715790 33206290 36445580 45556975 47379254 59431580 66412580 74289475 83015725 91113950 94758508 118448135 148578950 166031450 182227900 236896270 297157900 326187941 332062900 473792540 592240675 652375882 1184481350 1304751764 1630939705 2368962700 3261879410 4240443233 6523758820 8154698525 8480886466 16309397050 16961772932 21202216165 32618794100 42404432330 84808864660 106011080825 212022161650 424044323300