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1406143136 = 25313833701
BaseRepresentation
bin101001111010000…
…0000101010100000
310121222220110202102
41103310000222200
510334433040021
6351310305532
746563006446
oct12364005240
93558813672
101406143136
11661805172
12332ab82a8
1319541c978
14d4a70b96
15836aa00b
hex53d00aa0

1406143136 has 48 divisors (see below), whose sum is σ = 2865881088. Its totient is φ = 678432000.

The previous prime is 1406143121. The next prime is 1406143139. The reversal of 1406143136 is 6313416041.

It is a junction number, because it is equal to n+sod(n) for n = 1406143099 and 1406143108.

It is not an unprimeable number, because it can be changed into a prime (1406143139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378086 + ... + 381786.

It is an arithmetic number, because the mean of its divisors is an integer number (59705856).

Almost surely, 21406143136 is an apocalyptic number.

1406143136 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 1406143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432940544).

1406143136 is an abundant number, since it is smaller than the sum of its proper divisors (1459737952).

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

1406143136 is a wasteful number, since it uses less digits than its factorization.

1406143136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 1406143136 is about 37498.5751195962. The cubic root of 1406143136 is about 1120.3228066115.

Adding to 1406143136 its reverse (6313416041), we get a palindrome (7719559177).

The spelling of 1406143136 in words is "one billion, four hundred six million, one hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 383 496 766 992 1532 3064 3701 6128 7402 11873 12256 14804 23746 29608 47492 59216 94984 114731 118432 189968 229462 379936 458924 917848 1417483 1835696 2834966 3671392 5669932 11339864 22679728 43941973 45359456 87883946 175767892 351535784 703071568 1406143136