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1424431120 = 245713119417
BaseRepresentation
bin101010011100111…
…0001100000010000
310200021022121011011
41110321301200100
510404123243440
6353202300304
750204315260
oct12471614020
93607277134
101424431120
11671066202
12339057694
13199153a68
14d72717a0
15850bd9ea
hex54e71810

1424431120 has 80 divisors (see below), whose sum is σ = 3814005888. Its totient is φ = 484623360.

The previous prime is 1424431103. The next prime is 1424431123. The reversal of 1424431120 is 211344241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1424431091 and 1424431100.

It is not an unprimeable number, because it can be changed into a prime (1424431123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63652 + ... + 83068.

Almost surely, 21424431120 is an apocalyptic number.

1424431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907002944).

1424431120 is an abundant number, since it is smaller than the sum of its proper divisors (2389574768).

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

1424431120 is a wasteful number, since it uses less digits than its factorization.

1424431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19568 (or 19562 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1424431120 is about 37741.6364245113. The cubic root of 1424431120 is about 1125.1587910839.

Adding to 1424431120 its reverse (211344241), we get a palindrome (1635775361).

The spelling of 1424431120 in words is "one billion, four hundred twenty-four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 7336 9170 10480 14672 18340 19417 36680 38834 73360 77668 97085 135919 155336 194170 271838 310672 388340 543676 679595 776680 1087352 1359190 1553360 2174704 2543627 2718380 5087254 5436760 10174508 10873520 12718135 17805389 20349016 25436270 35610778 40698032 50872540 71221556 89026945 101745080 142443112 178053890 203490160 284886224 356107780 712215560 1424431120