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1050334400000 = 2955656459
BaseRepresentation
bin11110100100011001100…
…11110000111000000000
310201102002121110212200002
433102030303300320000
5114202041101300000
62122303355215132
7135612160043624
oct17221463607000
93642077425602
101050334400000
11375498428686
1214b68aa474a8
137807a3bbc92
1438b9d343184
151c4c56628d5
hexf48ccf0e00

1050334400000 has 120 divisors (see below), whose sum is σ = 2623107813480. Its totient is φ = 420133120000.

The previous prime is 1050334399993. The next prime is 1050334400099. The reversal of 1050334400000 is 44330501.

It is a super-2 number, since 2×10503344000002 (a number of 25 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1271771 + ... + 1928229.

It is an arithmetic number, because the mean of its divisors is an integer number (21859231779).

Almost surely, 21050334400000 is an apocalyptic number.

1050334400000 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 1050334400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311553906740).

1050334400000 is an abundant number, since it is smaller than the sum of its proper divisors (1572773413480).

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

1050334400000 is an frugal number, since it uses more digits than its factorization.

1050334400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656502 (or 656466 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 1050334400000 its reverse (44330501), we get a palindrome (1050378730501).

The spelling of 1050334400000 in words is "one trillion, fifty billion, three hundred thirty-four million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3125 3200 4000 5000 6250 6400 8000 10000 12500 12800 16000 20000 25000 32000 40000 50000 64000 80000 100000 160000 200000 320000 400000 656459 800000 1312918 1600000 2625836 3282295 5251672 6564590 10503344 13129180 16411475 21006688 26258360 32822950 42013376 52516720 65645900 82057375 84026752 105033440 131291800 164114750 168053504 210066880 262583600 328229500 336107008 410286875 420133760 525167200 656459000 820573750 840267520 1050334400 1312918000 1641147500 1680535040 2051434375 2100668800 2625836000 3282295000 4102868750 4201337600 5251672000 6564590000 8205737500 8402675200 10503344000 13129180000 16411475000 21006688000 26258360000 32822950000 42013376000 52516720000 65645900000 105033440000 131291800000 210066880000 262583600000 525167200000 1050334400000