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16440623034129 = 337127968012059
BaseRepresentation
bin1110111100111110000101…
…1111101110111100010001
32011012201010021202010101000
43233033201133232330101
54123330343444043004
654544415024532213
73314536652013360
oct357174137567421
964181107663330
1016440623034129
11526947a107648
121a16377481069
13923461caac48
1440ba3230d7d7
151d79d1d28c39
hexef3e17eef11

16440623034129 has 32 divisors (see below), whose sum is σ = 27857739776000. Its totient is φ = 9387296293392.

The previous prime is 16440623034119. The next prime is 16440623034133. The reversal of 16440623034129 is 92143032604461.

16440623034129 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 623 + 0 + 3 + 4 + 12 + 9 = 666.

It is not a de Polignac number, because 16440623034129 - 28 = 16440623033873 is a prime.

It is a super-3 number, since 3×164406230341293 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16440623034119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33764299 + ... + 34247760.

It is an arithmetic number, because the mean of its divisors is an integer number (870554368000).

Almost surely, 216440623034129 is an apocalyptic number.

It is an amenable number.

16440623034129 is a deficient number, since it is larger than the sum of its proper divisors (11417116741871).

16440623034129 is a wasteful number, since it uses less digits than its factorization.

16440623034129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68013354 (or 68013348 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 16440623034129 in words is "sixteen trillion, four hundred forty billion, six hundred twenty-three million, thirty-four thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 63 189 1279 3837 8953 11511 26859 34533 80577 241731 68012059 204036177 476084413 612108531 1428253239 1836325593 4284759717 12854279151 86987423461 260962270383 608911964227 782886811149 1826735892681 2348660433447 5480207678043 16440623034129