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1424401290 = 2325132711319
BaseRepresentation
bin101010011100110…
…1010001110001010
310200021021002020100
41110321222032022
510404121320130
6353201510230
750204132304
oct12471521612
93607232210
101424401290
11671045854
12339042376
13199143300
14d7264974
15850b4c60
hex54e6a38a

1424401290 has 144 divisors (see below), whose sum is σ = 4069802880. Its totient is φ = 345421440.

The previous prime is 1424401289. The next prime is 1424401333. The reversal of 1424401290 is 921044241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1079251 + ... + 1080569.

It is an arithmetic number, because the mean of its divisors is an integer number (28262520).

Almost surely, 21424401290 is an apocalyptic number.

1424401290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424401290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034901440).

1424401290 is an abundant number, since it is smaller than the sum of its proper divisors (2645401590).

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

1424401290 is a wasteful number, since it uses less digits than its factorization.

1424401290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1424401290 is about 37741.2412355503. The cubic root of 1424401290 is about 1125.1509367855.

The spelling of 1424401290 in words is "one billion, four hundred twenty-four million, four hundred one thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 130 142 169 195 213 234 338 355 390 426 507 585 639 710 845 923 1014 1065 1170 1278 1319 1521 1690 1846 2130 2535 2638 2769 3042 3195 3957 4615 5070 5538 6390 6595 7605 7914 8307 9230 11871 11999 13190 13845 15210 16614 17147 19785 23742 23998 27690 34294 35997 39570 41535 51441 59355 59995 71994 83070 85735 93649 102882 107991 118710 119990 154323 171470 179985 187298 215982 222911 257205 280947 308646 359970 445822 468245 514410 539955 561894 668733 771615 842841 936490 1079910 1114555 1217437 1337466 1404735 1543230 1685682 2006199 2229110 2434874 2809470 3343665 3652311 4012398 4214205 6087185 6687330 7304622 8428410 10030995 10956933 12174370 15826681 18261555 20061990 21913866 31653362 36523110 47480043 54784665 79133405 94960086 109569330 142440129 158266810 237400215 284880258 474800430 712200645 1424401290