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1339112448 = 21032145303
BaseRepresentation
bin100111111010001…
…0011110000000000
310110022202221221100
41033310103300000
510220303044243
6340513454400
745120160632
oct11764236000
93408687840
101339112448
11627992003
12314571400
1318458083b
14c9bc2a52
157c8690d3
hex4fd13c00

1339112448 has 66 divisors (see below), whose sum is σ = 3866684744. Its totient is φ = 446367744.

The previous prime is 1339112429. The next prime is 1339112449. The reversal of 1339112448 is 8442119331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339112449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63436 + ... + 81867.

Almost surely, 21339112448 is an apocalyptic number.

1339112448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1339112448 is an abundant number, since it is smaller than the sum of its proper divisors (2527572296).

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

1339112448 is a wasteful number, since it uses less digits than its factorization.

1339112448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145329 (or 145308 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1339112448 is about 36593.8853908682. The cubic root of 1339112448 is about 1102.2303090323.

The spelling of 1339112448 in words is "one billion, three hundred thirty-nine million, one hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 145303 290606 435909 581212 871818 1162424 1307727 1743636 2324848 2615454 3487272 4649696 5230908 6974544 9299392 10461816 13949088 18598784 20923632 27898176 37197568 41847264 55796352 74395136 83694528 111592704 148790272 167389056 223185408 334778112 446370816 669556224 1339112448