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13405455012144 = 24313149314389217
BaseRepresentation
bin1100001100010011001101…
…1000100101000100110000
31202110112211012122020011010
43003010303120211010300
53224113332440342034
644302214144350520
72552340446343036
oct303046330450460
952415735566133
1013405455012144
1142a9248969498
121606097915440
1376318a4b84a0
14344b82890556
15183a8ee153e9
hexc3133625130

13405455012144 has 80 divisors (see below), whose sum is σ = 37319645577312. Its totient is φ = 4121992372224.

The previous prime is 13405455012137. The next prime is 13405455012167. The reversal of 13405455012144 is 44121055450431.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6262977 + ... + 8126240.

Almost surely, 213405455012144 is an apocalyptic number.

It is an amenable number.

13405455012144 is an abundant number, since it is smaller than the sum of its proper divisors (23914190565168).

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

13405455012144 is a wasteful number, since it uses less digits than its factorization.

13405455012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390734 (or 14390728 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 13405455012144 in words is "thirteen trillion, four hundred five billion, four hundred fifty-five million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1493 2986 4479 5972 8958 11944 17916 19409 23888 35832 38818 58227 71664 77636 116454 155272 232908 310544 465816 931632 14389217 28778434 43167651 57556868 86335302 115113736 172670604 187059821 230227472 345341208 374119642 561179463 690682416 748239284 1122358926 1496478568 2244717852 2992957136 4489435704 8978871408 21483100981 42966201962 64449302943 85932403924 128898605886 171864807848 257797211772 279280312753 343729615696 515594423544 558560625506 837840938259 1031188847088 1117121251012 1675681876518 2234242502024 3351363753036 4468485004048 6702727506072 13405455012144