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14148081432 = 2334127171917
BaseRepresentation
bin11010010110100101…
…01001011100011000
31100112000010000010000
431023102221130120
5212433402101212
610255522253000
71010413464552
oct151322513430
940460100100
1014148081432
11600024aa91
1228aa1b7160
1314461b8724
149830224d2
1557c1341dc
hex34b4a9718

14148081432 has 80 divisors (see below), whose sum is σ = 39939989760. Its totient is φ = 4678865856.

The previous prime is 14148081427. The next prime is 14148081487. The reversal of 14148081432 is 23418084141.

It is a happy number.

14148081432 is a `hidden beast` number, since 1 + 4 + 148 + 0 + 81 + 432 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3663 + ... + 168254.

It is an arithmetic number, because the mean of its divisors is an integer number (499249872).

Almost surely, 214148081432 is an apocalyptic number.

14148081432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14148081432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19969994880).

14148081432 is an abundant number, since it is smaller than the sum of its proper divisors (25791908328).

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

14148081432 is a wasteful number, since it uses less digits than its factorization.

14148081432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172062 (or 172049 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14148081432 in words is "fourteen billion, one hundred forty-eight million, eighty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 216 254 324 381 508 648 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 10287 13716 20574 27432 41148 82296 171917 343834 515751 687668 1031502 1375336 1547253 2063004 3094506 4126008 4641759 6189012 9283518 12378024 13925277 18567036 21833459 27850554 37134072 43666918 55701108 65500377 87333836 111402216 131000754 174667672 196501131 262001508 393002262 524003016 589503393 786004524 1179006786 1572009048 1768510179 2358013572 3537020358 4716027144 7074040716 14148081432