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1138416445156 = 22151235332
BaseRepresentation
bin10000100100001110111…
…010000110011011100100
311000211110012101101100211
4100210032322012123210
5122122434102221111
62230551543145204
7145151010060244
oct20441672063344
94024405341324
101138416445156
113a988844a921
12164771445204
1383476a62123
143d157621b24
151e92d436521
hex1090ee866e4

1138416445156 has 27 divisors (see below), whose sum is σ = 2006077533033. Its totient is φ = 565278586800.

The previous prime is 1138416445151. The next prime is 1138416445189. The reversal of 1138416445156 is 6515446148311.

The square root of 1138416445156 is 1066966.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 931012712100 + 207403733056 = 964890^2 + 455416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1138416445151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 322221966 + ... + 322225498.

Almost surely, 21138416445156 is an apocalyptic number.

1138416445156 is the 1066966-th square number.

It is an amenable number.

1138416445156 is a deficient number, since it is larger than the sum of its proper divisors (867661087877).

1138416445156 is an frugal number, since it uses more digits than its factorization.

1138416445156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 3686 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 49.

Multiplying 1138416445156 by its sum of digits (49), we get a square (55782405812644 = 74687622).

The spelling of 1138416445156 in words is "one trillion, one hundred thirty-eight billion, four hundred sixteen million, four hundred forty-five thousand, one hundred fifty-six".

Divisors: 1 2 4 151 302 604 3533 7066 14132 22801 45602 91204 533483 1066966 2133932 12482089 24964178 49928356 80555933 161111866 322223732 1884795439 3769590878 7539181756 284604111289 569208222578 1138416445156