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14100133344 = 25311127105137
BaseRepresentation
bin11010010000110111…
…01111010111100000
31100101122212222200220
431020123233113200
5212334113231334
610251050443040
71006262104323
oct151033572740
940348788626
1014100133344
115a86180970
122896133480
13143929b28b
1497a9007ba
15577d12449
hex3486ef5e0

14100133344 has 96 divisors (see below), whose sum is σ = 40695975936. Its totient is φ = 4239083520.

The previous prime is 14100133291. The next prime is 14100133361. The reversal of 14100133344 is 44333100141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 81544 + ... + 186680.

It is an arithmetic number, because the mean of its divisors is an integer number (423916416).

Almost surely, 214100133344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14100133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20347987968).

14100133344 is an abundant number, since it is smaller than the sum of its proper divisors (26595842592).

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

14100133344 is a wasteful number, since it uses less digits than its factorization.

14100133344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105288 (or 105280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14100133344 its reverse (44333100141), we get a palindrome (58433233485).

It can be divided in two parts, 141001 and 33344, that added together give a triangular number (174345 = T590).

The spelling of 14100133344 in words is "fourteen billion, one hundred million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 127 132 176 254 264 352 381 508 528 762 1016 1056 1397 1524 2032 2794 3048 4064 4191 5588 6096 8382 11176 12192 16764 22352 33528 44704 67056 105137 134112 210274 315411 420548 630822 841096 1156507 1261644 1682192 2313014 2523288 3364384 3469521 4626028 5046576 6939042 9252056 10093152 13352399 13878084 18504112 26704798 27756168 37008224 40057197 53409596 55512336 80114394 106819192 111024672 146876389 160228788 213638384 293752778 320457576 427276768 440629167 587505556 640915152 881258334 1175011112 1281830304 1762516668 2350022224 3525033336 4700044448 7050066672 14100133344