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13354533144 = 23321627114001
BaseRepresentation
bin11000110111111111…
…00000000100011000
31021110200220120111200
430123333200010120
5204322230030034
610045053554200
7651636441651
oct143377400430
937420816450
1013354533144
115733316457
1227084a5960
13134a984324
14909896528
15532633a99
hex31bfe0118

13354533144 has 48 divisors (see below), whose sum is σ = 36191074920. Its totient is φ = 4448736000.

The previous prime is 13354533077. The next prime is 13354533151. The reversal of 13354533144 is 44133545331.

13354533144 is a `hidden beast` number, since 1 + 33 + 54 + 533 + 1 + 44 = 666.

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 = 13354533099 and 13354533108.

It is a congruent number.

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, 60144 + ... + 174144.

Almost surely, 213354533144 is an apocalyptic number.

It is an amenable number.

13354533144 is an abundant number, since it is smaller than the sum of its proper divisors (22836541776).

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

13354533144 is a wasteful number, since it uses less digits than its factorization.

13354533144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115640 (or 115633 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The spelling of 13354533144 in words is "thirteen billion, three hundred fifty-four million, five hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1627 3254 4881 6508 9762 13016 14643 19524 29286 39048 58572 114001 117144 228002 342003 456004 684006 912008 1026009 1368012 2052018 2736024 4104036 8208072 185479627 370959254 556438881 741918508 1112877762 1483837016 1669316643 2225755524 3338633286 4451511048 6677266572 13354533144