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14028975641835 = 32571137932093329
BaseRepresentation
bin1100110000100110000000…
…0111000001010011101011
31211200011020102201001220100
43030021200013001103223
53314322320231014320
645500453351400443
72645363044265340
oct314114007012353
954604212631810
1014028975641835
114519723019220
1216a6aab683123
137a9c08030b4b
143670128287c7
15194dd4b33790
hexcc2601c14eb

14028975641835 has 192 divisors, whose sum is σ = 30415761792000. Its totient is φ = 5811282247680.

The previous prime is 14028975641831. The next prime is 14028975641921. The reversal of 14028975641835 is 53814657982041.

It is a happy number.

14028975641835 is a `hidden beast` number, since 1 + 4 + 0 + 28 + 9 + 7 + 564 + 18 + 35 = 666.

It is not a de Polignac number, because 14028975641835 - 22 = 14028975641831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14028975641831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4214169451 + ... + 4214172779.

It is an arithmetic number, because the mean of its divisors is an integer number (158415426000).

It is a 1-persistent number, because it is pandigital, but 2⋅14028975641835 = 28057951283670 is not.

Almost surely, 214028975641835 is an apocalyptic number.

14028975641835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14028975641835 is an abundant number, since it is smaller than the sum of its proper divisors (16386786150165).

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

14028975641835 is a wasteful number, since it uses less digits than its factorization.

14028975641835 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 14028975641835 in words is "fourteen trillion, twenty-eight billion, nine hundred seventy-five million, six hundred forty-one thousand, eight hundred thirty-five".