Search a number
-
+
114288000144 = 2437741307583
BaseRepresentation
bin110101001110000011…
…0000111110010010000
3101220222221000221202020
41222130012013302100
53333030212001034
6124300404251440
711154106654413
oct1523406076220
9356887027666
10114288000144
114451866208a
121a1969a0b80
13aa149a74b6
1457628a5b7a
152e8d7ab249
hex1a9c187c90

114288000144 has 40 divisors (see below), whose sum is σ = 295283100672. Its totient is φ = 38090954880.

The previous prime is 114288000107. The next prime is 114288000221. The reversal of 114288000144 is 441000882411.

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, 217777 + ... + 525359.

Almost surely, 2114288000144 is an apocalyptic number.

It is an amenable number.

114288000144 is an abundant number, since it is smaller than the sum of its proper divisors (180995100528).

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

114288000144 is a wasteful number, since it uses less digits than its factorization.

114288000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315335 (or 315329 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

Adding to 114288000144 its reverse (441000882411), we get a palindrome (555288882555).

The spelling of 114288000144 in words is "one hundred fourteen billion, two hundred eighty-eight million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 7741 15482 23223 30964 46446 61928 92892 123856 185784 307583 371568 615166 922749 1230332 1845498 2460664 3690996 4921328 7381992 14763984 2381000003 4762000006 7143000009 9524000012 14286000018 19048000024 28572000036 38096000048 57144000072 114288000144