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1438145141 = 17337373673
BaseRepresentation
bin101010110111000…
…0101101001110101
310201020010100020212
41111232011221311
510421131121031
6354412235205
750432013656
oct12556055165
93636110225
101438145141
11678882804
1234176bb05
1319bc45c74
14d900152d
15863cc12b
hex55b85a75

1438145141 has 16 divisors (see below), whose sum is σ = 1533630384. Its totient is φ = 1343913984.

The previous prime is 1438145101. The next prime is 1438145147. The reversal of 1438145141 is 1415418341.

It can be written as a sum of positive squares in 8 ways, for example, as 2114116 + 1436031025 = 1454^2 + 37895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1438145141 is a prime.

It is a super-2 number, since 2×14381451412 = 4136522893163819762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1438145098 and 1438145107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438145147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136581 + ... + 2137253.

It is an arithmetic number, because the mean of its divisors is an integer number (95851899).

Almost surely, 21438145141 is an apocalyptic number.

It is an amenable number.

1438145141 is a deficient number, since it is larger than the sum of its proper divisors (95485243).

1438145141 is a wasteful number, since it uses less digits than its factorization.

1438145141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400.

The product of its digits is 7680, while the sum is 32.

The square root of 1438145141 is about 37922.8841334622. The cubic root of 1438145141 is about 1128.7581682303.

The spelling of 1438145141 in words is "one billion, four hundred thirty-eight million, one hundred forty-five thousand, one hundred forty-one".

Divisors: 1 17 337 373 673 5729 6341 11441 125701 226801 251029 2136917 3855617 4267493 84596773 1438145141