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1324124041400 = 235223360147279
BaseRepresentation
bin10011010001001011111…
…100010111000010111000
311200120210110222201201222
4103101023330113002320
5133143301223311100
62452143313331212
7164444012434526
oct23211374270270
94616713881658
101324124041400
11470615557596
1219475a566b08
1397b31004054
1448133473316
152469bc69485
hex1344bf170b8

1324124041400 has 96 divisors (see below), whose sum is σ = 3097011153600. Its totient is φ = 526487808000.

The previous prime is 1324124041391. The next prime is 1324124041403. The reversal of 1324124041400 is 41404214231.

It is a self number, because there is not a number n which added to its sum of digits gives 1324124041400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324124041403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27982961 + ... + 28030239.

It is an arithmetic number, because the mean of its divisors is an integer number (32260532850).

Almost surely, 21324124041400 is an apocalyptic number.

1324124041400 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 1324124041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548505576800).

1324124041400 is an abundant number, since it is smaller than the sum of its proper divisors (1772887112200).

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

1324124041400 is a wasteful number, since it uses less digits than its factorization.

1324124041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48129 (or 48120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1324124041400 its reverse (41404214231), we get a palindrome (1365528255631).

The spelling of 1324124041400 in words is "one trillion, three hundred twenty-four billion, one hundred twenty-four million, forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 233 466 601 932 1165 1202 1864 2330 2404 3005 4660 4808 5825 6010 9320 11650 12020 15025 23300 24040 30050 46600 47279 60100 94558 120200 140033 189116 236395 280066 378232 472790 560132 700165 945580 1120264 1181975 1400330 1891160 2363950 2800660 3500825 4727900 5601320 7001650 9455800 11016007 14003300 22032014 28006600 28414679 44064028 55080035 56829358 88128056 110160070 113658716 142073395 220320140 227317432 275400175 284146790 440640280 550800350 568293580 710366975 1101600700 1136587160 1420733950 2203201400 2841467900 5682935800 6620620207 13241240414 26482480828 33103101035 52964961656 66206202070 132412404140 165515505175 264824808280 331031010350 662062020700 1324124041400