Search a number
-
+
144619356408680 = 23529693411797953
BaseRepresentation
bin100000111000011111010001…
…010111011100101101101000
3200222001110211121021201221202
4200320133101113130231220
5122423420420220034210
61231325114250223332
742314255316641456
oct4070372127345550
9628043747251852
10144619356408680
11420977a752377a
1214278249a24b48
1362907153c229a
14279d8855039d6
1511abd348019a5
hex8387d15dcb68

144619356408680 has 64 divisors (see below), whose sum is σ = 336619060923600. Its totient is φ = 55852156272640.

The previous prime is 144619356408647. The next prime is 144619356408691. The reversal of 144619356408680 is 86804653916441.

144619356408680 is digitally balanced in base 2, 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 73184979451684 + 71434376956996 = 8554822^2 + 8451886^2 .

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, 79536584 + ... + 81334536.

Almost surely, 2144619356408680 is an apocalyptic number.

144619356408680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144619356408680 is an abundant number, since it is smaller than the sum of its proper divisors (191999704514920).

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

144619356408680 is a wasteful number, since it uses less digits than its factorization.

144619356408680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867334 (or 1867330 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 65.

The spelling of 144619356408680 in words is "one hundred forty-four trillion, six hundred nineteen billion, three hundred fifty-six million, four hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 69341 138682 277364 346705 554728 693410 1386820 1797953 2010889 2773640 3595906 4021778 7191812 8043556 8989765 10054445 14383624 16087112 17979530 20108890 35959060 40217780 52140637 71918120 80435560 104281274 208562548 260703185 417125096 521406370 1042812740 2085625480 124671858973 249343717946 498687435892 623359294865 997374871784 1246718589730 2493437179460 3615483910217 4986874358920 7230967820434 14461935640868 18077419551085 28923871281736 36154839102170 72309678204340 144619356408680