Search a number
-
+
144946432360 = 23529344936229
BaseRepresentation
bin1000011011111101111…
…0110000100101101000
3111212010120021200022201
42012333132300211220
54333322241313420
6150330521025544
713320623226622
oct2067736604550
9455116250281
10144946432360
1156520533a74
12241123252b4
131088c5b6652
147030547c12
153b850e610a
hex21bf7b0968

144946432360 has 64 divisors (see below), whose sum is σ = 337482450000. Its totient is φ = 55961536512.

The previous prime is 144946432333. The next prime is 144946432373. The reversal of 144946432360 is 63234649441.

144946432360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20561839236 + 124384593124 = 143394^2 + 352682^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144946432360.

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, 3982726 + ... + 4018954.

Almost surely, 2144946432360 is an apocalyptic number.

144946432360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144946432360 is an abundant number, since it is smaller than the sum of its proper divisors (192536017640).

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

144946432360 is a wasteful number, since it uses less digits than its factorization.

144946432360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39718 (or 39714 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 144946432360 in words is "one hundred forty-four billion, nine hundred forty-six million, four hundred thirty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 3449 6898 13796 17245 27592 34490 36229 68980 72458 100021 137960 144916 181145 200042 289832 362290 400084 500105 724580 800168 1000210 1050641 1449160 2000420 2101282 4000840 4202564 5253205 8405128 10506410 21012820 42025640 124953821 249907642 499815284 624769105 999630568 1249538210 2499076420 3623660809 4998152840 7247321618 14494643236 18118304045 28989286472 36236608090 72473216180 144946432360