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16440001400 = 2352292834483
BaseRepresentation
bin11110100111110011…
…01000001101111000
31120102201202121020202
433103321220031320
5232132120021100
611315154141332
71121253464144
oct172371501570
946381677222
1016440001400
116a76a52419
123229881848
13171cc91ba4
14b1d58a224
1566345b7d5
hex3d3e68378

16440001400 has 48 divisors (see below), whose sum is σ = 39541051800. Its totient is φ = 6349239680.

The previous prime is 16440001381. The next prime is 16440001439. The reversal of 16440001400 is 410004461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1411442 + ... + 1423041.

Almost surely, 216440001400 is an apocalyptic number.

16440001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16440001400 is an abundant number, since it is smaller than the sum of its proper divisors (23101050400).

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

16440001400 is a wasteful number, since it uses less digits than its factorization.

16440001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834528 (or 2834519 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 16440001400 its reverse (410004461), we get a palindrome (16850005861).

The spelling of 16440001400 in words is "sixteen billion, four hundred forty million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 2834483 5668966 11337932 14172415 22675864 28344830 56689660 70862075 82200007 113379320 141724150 164400014 283448300 328800028 411000035 566896600 657600056 822000070 1644000140 2055000175 3288000280 4110000350 8220000700 16440001400