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134004434043344 = 24251797280114947
BaseRepresentation
bin11110011110000001010110…
…101100001000000111010000
3122120110200212102010201200112
4132132001112230020013100
5120031012040103341334
61153000442004540452
740140333540361634
oct3636012654100720
9576420772121615
10134004434043344
1139774a63590227
1213042b599b1728
1359a0743ba30b7
142513bc6358dc4
151075b699644ce
hex79e056b081d0

134004434043344 has 80 divisors (see below), whose sum is σ = 261105696040896. Its totient is φ = 66623289600000.

The previous prime is 134004434043269. The next prime is 134004434043377. The reversal of 134004434043344 is 443340434400431.

134004434043344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1340044340433444 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

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, 8965298879 + ... + 8965313825.

Almost surely, 2134004434043344 is an apocalyptic number.

It is an amenable number.

134004434043344 is a deficient number, since it is larger than the sum of its proper divisors (127101261997552).

134004434043344 is a wasteful number, since it uses less digits than its factorization.

134004434043344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804 (or 18798 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 41.

Adding to 134004434043344 its reverse (443340434400431), we get a palindrome (577344868443775).

The spelling of 134004434043344 in words is "one hundred thirty-four trillion, four billion, four hundred thirty-four million, forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 251 502 797 1004 1594 2008 2801 3188 4016 5602 6376 11204 12752 14947 22408 29894 44816 59788 119576 200047 239152 400094 703051 800188 1406102 1600376 2232397 2812204 3200752 3751697 4464794 5624408 7503394 8929588 11248816 11912759 15006788 17859176 23825518 30013576 35718352 41866547 47651036 60027152 83733094 95302072 167466188 190604144 334932376 560331647 669864752 1120663294 2241326588 2990102509 4482653176 5980205018 8965306352 10508503297 11960410036 21017006594 23920820072 33367637959 42034013188 47841640144 66735275918 84068026376 133470551836 168136052752 266941103672 533882207344 8375277127709 16750554255418 33501108510836 67002217021672 134004434043344