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4313344320144 = 2432173173143237
BaseRepresentation
bin111110110001000111010…
…110110010001010010000
3120021100111101022102120200
4332301013112302022100
51031132212121221034
613101304550135200
7623425456533066
oct76610726621220
916240441272520
104313344320144
111413308469122
12597b56351500
13253992443b62
1410caa483a036
15772eee31a99
hex3ec475b2290

4313344320144 has 60 divisors (see below), whose sum is σ = 12141150135036. Its totient is φ = 1429470556416.

The previous prime is 4313344320139. The next prime is 4313344320167. The reversal of 4313344320144 is 4410234433134.

4313344320144 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 3 + 443 + 201 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4010967507600 + 302376812544 = 2002740^2 + 549888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4313344320099 and 4313344320108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86546707 + ... + 86596530.

Almost surely, 24313344320144 is an apocalyptic number.

It is an amenable number.

4313344320144 is an abundant number, since it is smaller than the sum of its proper divisors (7827805814892).

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

4313344320144 is a wasteful number, since it uses less digits than its factorization.

4313344320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173143424 (or 173143415 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4313344320144 its reverse (4410234433134), we get a palindrome (8723578753278).

The spelling of 4313344320144 in words is "four trillion, three hundred thirteen billion, three hundred forty-four million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 173143237 346286474 519429711 692572948 1038859422 1385145896 1558289133 2077718844 2770291792 3116578266 4155437688 6233156532 8310875376 12466313064 24932626128 29953780001 59907560002 89861340003 119815120004 179722680006 239630240008 269584020009 359445360012 479260480016 539168040018 718890720024 1078336080036 1437781440048 2156672160072 4313344320144