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1424214736 = 247101137919
BaseRepresentation
bin101010011100011…
…1100101011010000
310200020220121022221
41110320330223100
510404044332421
6353153510424
750202424360
oct12470745320
93606817287
101424214736
11670a2867a
12338b72414
131990a9419
14d72169a0
1585079841
hex54e3cad0

1424214736 has 80 divisors (see below), whose sum is σ = 3211580160. Its totient is φ = 599270400.

The previous prime is 1424214721. The next prime is 1424214769. The reversal of 1424214736 is 6374124241.

It is a super-3 number, since 3×14242147363 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549285 + ... + 1550203.

It is an arithmetic number, because the mean of its divisors is an integer number (40144752).

Almost surely, 21424214736 is an apocalyptic number.

1424214736 is a gapful number since it is divisible by the number (16) 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 1424214736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605790080).

1424214736 is an abundant number, since it is smaller than the sum of its proper divisors (1787365424).

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

1424214736 is a wasteful number, since it uses less digits than its factorization.

1424214736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1166 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 1424214736 is about 37738.7696672798. The cubic root of 1424214736 is about 1125.1018142586.

Adding to 1424214736 its reverse (6374124241), we get a palindrome (7798338977).

The spelling of 1424214736 in words is "one billion, four hundred twenty-four million, two hundred fourteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 137 202 274 404 548 707 808 919 959 1096 1414 1616 1838 1918 2192 2828 3676 3836 5656 6433 7352 7672 11312 12866 13837 14704 15344 25732 27674 51464 55348 92819 96859 102928 110696 125903 185638 193718 221392 251806 371276 387436 503612 649733 742552 774872 881321 1007224 1299466 1485104 1549744 1762642 2014448 2598932 3525284 5197864 7050568 10395728 12716203 14101136 25432406 50864812 89013421 101729624 178026842 203459248 356053684 712107368 1424214736