Search a number
-
+
144152740 = 22537832347
BaseRepresentation
bin10001001011110…
…01100010100100
3101001020201101101
420211321202210
5243400341430
622145405444
73400164244
oct1045714244
9331221341
10144152740
11744090a6
1240339884
1323b325a4
1415205b24
15c9c6dca
hex89798a4

144152740 has 48 divisors (see below), whose sum is σ = 314782272. Its totient is φ = 55403136.

The previous prime is 144152717. The next prime is 144152773. The reversal of 144152740 is 47251441.

It is a junction number, because it is equal to n+sod(n) for n = 144152699 and 144152708.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60247 + ... + 62593.

It is an arithmetic number, because the mean of its divisors is an integer number (6557964).

Almost surely, 2144152740 is an apocalyptic number.

144152740 is a gapful number since it is divisible by the number (10) 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 144152740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157391136).

144152740 is an abundant number, since it is smaller than the sum of its proper divisors (170629532).

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

144152740 is a wasteful number, since it uses less digits than its factorization.

144152740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 144152740 is about 12006.3624799520. The cubic root of 144152740 is about 524.3335337467. Note that the first 3 decimals are identical.

The spelling of 144152740 in words is "one hundred forty-four million, one hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 37 74 83 148 166 185 332 370 415 740 830 1660 2347 3071 4694 6142 9388 11735 12284 15355 23470 30710 46940 61420 86839 173678 194801 347356 389602 434195 779204 868390 974005 1736780 1948010 3896020 7207637 14415274 28830548 36038185 72076370 144152740