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144115136 = 2611269761
BaseRepresentation
bin10001001011100…
…00010111000000
3101001011210210122
420211300113000
5243343141021
622144515412
73366646514
oct1045602700
9331153718
10144115136
1174392920
124031bb68
1323b1b439
14151d6144
15c9babab
hex89705c0

144115136 has 56 divisors (see below), whose sum is σ = 313547760. Its totient is φ = 65177600.

The previous prime is 144115121. The next prime is 144115151. The reversal of 144115136 is 631511441.

It is an interprime number because it is at equal distance from previous prime (144115121) and next prime (144115151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188996 + ... + 189756.

Almost surely, 2144115136 is an apocalyptic number.

144115136 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 144115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156773880).

144115136 is an abundant number, since it is smaller than the sum of its proper divisors (169432624).

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

144115136 is a wasteful number, since it uses less digits than its factorization.

144115136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1043 counting only the distinct ones).

The product of its digits is 1440, while the sum is 26.

The square root of 144115136 is about 12004.7963747829. The cubic root of 144115136 is about 524.2879368497.

Adding to 144115136 its reverse (631511441), we get a palindrome (775626577).

The spelling of 144115136 in words is "one hundred forty-four million, one hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 269 352 538 704 761 1076 1522 2152 2959 3044 4304 5918 6088 8371 8608 11836 12176 16742 17216 23672 24352 33484 47344 48704 66968 94688 133936 189376 204709 267872 409418 535744 818836 1637672 2251799 3275344 4503598 6550688 9007196 13101376 18014392 36028784 72057568 144115136