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1421413224 = 2337111794297
BaseRepresentation
bin101010010111001…
…0000101101101000
310200001122021101020
41110232100231220
510402340210344
6353013452440
750136545610
oct12456205550
93601567336
101421413224
1166a394880
12338041120
1319863821a
14d6ac7a40
1584bc4719
hex54b90b68

1421413224 has 128 divisors (see below), whose sum is σ = 4456166400. Its totient is φ = 367050240.

The previous prime is 1421413187. The next prime is 1421413243. The reversal of 1421413224 is 4223141241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1421413194 and 1421413203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328644 + ... + 332940.

It is an arithmetic number, because the mean of its divisors is an integer number (34813800).

Almost surely, 21421413224 is an apocalyptic number.

1421413224 is a gapful number since it is divisible by the number (14) 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 1421413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228083200).

1421413224 is an abundant number, since it is smaller than the sum of its proper divisors (3034753176).

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

1421413224 is a wasteful number, since it uses less digits than its factorization.

1421413224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4499 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 1421413224 is about 37701.6342351363. The cubic root of 1421413224 is about 1124.3636167738.

Adding to 1421413224 its reverse (4223141241), we get a palindrome (5644554465).

The spelling of 1421413224 in words is "one billion, four hundred twenty-one million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 179 231 264 308 358 462 537 616 716 924 1074 1253 1432 1848 1969 2148 2506 3759 3938 4296 4297 5012 5907 7518 7876 8594 10024 11814 12891 13783 15036 15752 17188 23628 25782 27566 30072 30079 34376 41349 47256 47267 51564 55132 60158 82698 90237 94534 103128 110264 120316 141801 165396 180474 189068 240632 283602 330792 330869 360948 378136 567204 661738 721896 769163 992607 1134408 1323476 1538326 1985214 2307489 2646952 3076652 3970428 4614978 5384141 6153304 7940856 8460793 9229956 10768282 16152423 16921586 18459912 21536564 25382379 32304846 33843172 43073128 50764758 59225551 64609692 67686344 101529516 118451102 129219384 177676653 203059032 236902204 355353306 473804408 710706612 1421413224