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16143339400 = 23521721792
BaseRepresentation
bin11110000100011011…
…11100111110001000
31112200001112121111021
433002031330332020
5231030143330100
611225515442224
71111022056306
oct170215747610
945601477437
1016143339400
116934548911
123166456374
1316a3692546
14ad2005276
156473aba1a
hex3c237cf88

16143339400 has 72 divisors (see below), whose sum is σ = 39759349770. Its totient is φ = 6074703360.

The previous prime is 16143339397. The next prime is 16143339409. The reversal of 16143339400 is 493334161.

It can be written as a sum of positive squares in 3 ways, for example, as 13845287556 + 2298051844 = 117666^2 + 47938^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16143339409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7407511 + ... + 7409689.

Almost surely, 216143339400 is an apocalyptic number.

16143339400 is a gapful number since it is divisible by the number (10) 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 16143339400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879674885).

16143339400 is an abundant number, since it is smaller than the sum of its proper divisors (23616010370).

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

16143339400 is an equidigital number, since it uses as much as digits as its factorization.

16143339400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Multiplying 16143339400 by its sum of digits (34), we get a square (548873539600 = 7408602).

16143339400 divided by its sum of digits (34) gives a square (474804100 = 217902).

The spelling of 16143339400 in words is "sixteen billion, one hundred forty-three million, three hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 2179 3400 4358 8716 10895 17432 21790 37043 43580 54475 74086 87160 108950 148172 185215 217900 296344 370430 435800 740860 926075 1481720 1852150 3704300 4748041 7408600 9496082 18992164 23740205 37984328 47480410 80716697 94960820 118701025 161433394 189921640 237402050 322866788 403583485 474804100 645733576 807166970 949608200 1614333940 2017917425 3228667880 4035834850 8071669700 16143339400