Search a number
-
+
144081672020 = 225112134579837
BaseRepresentation
bin1000011000101111101…
…1111101011101010100
3111202220022002022010222
42012023323331131110
54330034402001040
6150105030133512
713260323001506
oct2061373753524
9452808068128
10144081672020
1156117390800
1223b107b1298
13107823aab40
146d8b761d76
153b3422abb5
hex218befd754

144081672020 has 72 divisors (see below), whose sum is σ = 358161650952. Its totient is φ = 48363068160.

The previous prime is 144081672011. The next prime is 144081672061. The reversal of 144081672020 is 20276180441.

It can be written as a sum of positive squares in 4 ways, for example, as 595262404 + 143486409616 = 24398^2 + 378796^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2258459 + ... + 2321378.

Almost surely, 2144081672020 is an apocalyptic number.

144081672020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144081672020 is an abundant number, since it is smaller than the sum of its proper divisors (214079978932).

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

144081672020 is a wasteful number, since it uses less digits than its factorization.

144081672020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579881 (or 4579868 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 144081672020 in words is "one hundred forty-four billion, eighty-one million, six hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 15730 31460 4579837 9159674 18319348 22899185 45798370 50378207 59537881 91596740 100756414 119075762 201512828 238151524 251891035 297689405 503782070 554160277 595378810 654916691 1007564140 1108320554 1190757620 1309833382 2216641108 2619666764 2770801385 3274583455 5541602770 6549166910 7204083601 11083205540 13098333820 14408167202 28816334404 36020418005 72040836010 144081672020