Search a number
-
+
144692333680 = 2453674928213
BaseRepresentation
bin1000011011000001010…
…1011100110001110000
3111211110212011010110111
42012300111130301300
54332312214134210
6150245402511104
713311416354266
oct2066025346160
9454425133414
10144692333680
1156400060964
1224061205494
131084ba6a4bb
1470088c2436
153b6cb5288a
hex21b055cc70

144692333680 has 40 divisors (see below), whose sum is σ = 337326391872. Its totient is φ = 57719218944.

The previous prime is 144692333603. The next prime is 144692333719. The reversal of 144692333680 is 86333296441.

It is a tau number, because it is divible by the number of its divisors (40).

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, 2434747 + ... + 2493466.

Almost surely, 2144692333680 is an apocalyptic number.

144692333680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144692333680 is an abundant number, since it is smaller than the sum of its proper divisors (192634058192).

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

144692333680 is a wasteful number, since it uses less digits than its factorization.

144692333680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928593 (or 4928587 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 49.

The spelling of 144692333680 in words is "one hundred forty-four billion, six hundred ninety-two million, three hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 367 734 1468 1835 2936 3670 5872 7340 14680 29360 4928213 9856426 19712852 24641065 39425704 49282130 78851408 98564260 197128520 394257040 1808654171 3617308342 7234616684 9043270855 14469233368 18086541710 28938466736 36173083420 72346166840 144692333680