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1424441430 = 2335291091669
BaseRepresentation
bin101010011100111…
…0100000001010110
310200021100010022000
41110321310001112
510404124111210
6353202420130
750204360316
oct12471640126
93607303260
101424441430
11671072a25
12339061646
13199158669
14d7275446
15850c1ac0
hex54e74056

1424441430 has 128 divisors (see below), whose sum is σ = 3967920000. Its totient is φ = 363170304.

The previous prime is 1424441387. The next prime is 1424441443. The reversal of 1424441430 is 341444241.

1424441430 is a `hidden beast` number, since 1 + 4 + 244 + 414 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1424441394 and 1424441403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852636 + ... + 854304.

It is an arithmetic number, because the mean of its divisors is an integer number (30999375).

Almost surely, 21424441430 is an apocalyptic number.

1424441430 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 1424441430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983960000).

1424441430 is an abundant number, since it is smaller than the sum of its proper divisors (2543478570).

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

1424441430 is a wasteful number, since it uses less digits than its factorization.

1424441430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1817 counting only the distinct ones).

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

The square root of 1424441430 is about 37741.7730108165. The cubic root of 1424441430 is about 1125.1615057019.

Adding to 1424441430 its reverse (341444241), we get a palindrome (1765885671).

The spelling of 1424441430 in words is "one billion, four hundred twenty-four million, four hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 109 135 145 174 218 261 270 290 327 435 522 545 654 783 870 981 1090 1305 1566 1635 1669 1962 2610 2943 3161 3270 3338 3915 4905 5007 5886 6322 7830 8345 9483 9810 10014 14715 15021 15805 16690 18966 25035 28449 29430 30042 31610 45063 47415 48401 50070 56898 75105 85347 90126 94830 96802 142245 145203 150210 170694 181921 225315 242005 284490 290406 363842 426735 435609 450630 484010 545763 726015 853470 871218 909605 1091526 1306827 1452030 1637289 1819210 2178045 2613654 2728815 3274578 4356090 4911867 5275709 5457630 6534135 8186445 9823734 10551418 13068270 15827127 16372890 24559335 26378545 31654254 47481381 49118670 52757090 79135635 94962762 142444143 158271270 237406905 284888286 474813810 712220715 1424441430