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1338137144 = 231109150827
BaseRepresentation
bin100111111000010…
…0101101000111000
310110020221102001222
41033300211220320
510220030342034
6340440531212
745105656321
oct11760455070
93406842058
101338137144
11627386273
12314180b08
131842cb936
14c9a0b448
157c72512e
hex4fc25a38

1338137144 has 16 divisors (see below), whose sum is σ = 2511286200. Its totient is φ = 668460832.

The previous prime is 1338137113. The next prime is 1338137147. The reversal of 1338137144 is 4417318331.

It is a super-3 number, since 3×13381371443 (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 not an unprimeable number, because it can be changed into a prime (1338137147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66542 + ... + 84285.

Almost surely, 21338137144 is an apocalyptic number.

It is an amenable number.

1338137144 is a deficient number, since it is larger than the sum of its proper divisors (1173149056).

1338137144 is a wasteful number, since it uses less digits than its factorization.

1338137144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151942 (or 151938 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 1338137144 is about 36580.5569121084. The cubic root of 1338137144 is about 1101.9626514703.

The spelling of 1338137144 in words is "one billion, three hundred thirty-eight million, one hundred thirty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 1109 2218 4436 8872 150827 301654 603308 1206616 167267143 334534286 669068572 1338137144