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1421130340 = 225725327361
BaseRepresentation
bin101010010110100…
…1011101001100100
310200001002220100001
41110231023221210
510402302132330
6353003431044
750134260100
oct12455135144
93601086301
101421130340
1166a211293
12337b25484
13198569536
14d6a52900
1584b6a9ca
hex54b4ba64

1421130340 has 72 divisors (see below), whose sum is σ = 3537249912. Its totient is φ = 478033920.

The previous prime is 1421130329. The next prime is 1421130377. The reversal of 1421130340 is 430311241.

It can be written as a sum of positive squares in 4 ways, for example, as 314636644 + 1106493696 = 17738^2 + 33264^2 .

It is a super-2 number, since 2×14211303402 = 4039222886537031200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38260 + ... + 65620.

It is an arithmetic number, because the mean of its divisors is an integer number (49128471).

Almost surely, 21421130340 is an apocalyptic number.

1421130340 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 1421130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768624956).

1421130340 is an abundant number, since it is smaller than the sum of its proper divisors (2116119572).

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

1421130340 is a wasteful number, since it uses less digits than its factorization.

1421130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27437 (or 27428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1421130340 is about 37697.8824338981. The cubic root of 1421130340 is about 1124.2890230351.

Adding to 1421130340 its reverse (430311241), we get a palindrome (1851441581).

It can be divided in two parts, 14211 and 30340, that added together give a triangular number (44551 = T298).

The spelling of 1421130340 in words is "one billion, four hundred twenty-one million, one hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 53 70 98 106 140 196 212 245 265 371 490 530 742 980 1060 1484 1855 2597 3710 5194 7420 10388 12985 25970 27361 51940 54722 109444 136805 191527 273610 383054 547220 766108 957635 1340689 1450133 1915270 2681378 2900266 3830540 5362756 5800532 6703445 7250665 10150931 13406890 14501330 20301862 26813780 29002660 40603724 50754655 71056517 101509310 142113034 203018620 284226068 355282585 710565170 1421130340