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1014341421200 = 24523137808369
BaseRepresentation
bin11101100001010110111…
…01011100100010010000
310120222012012100002220012
432300223131130202100
5113104332400434300
62053552040534052
7133166216551442
oct16605335344220
93528165302805
101014341421200
113611a8319a08
12144704a81328
1374862548ba3
1437146dd6492
151b5ba83b435
hexec2b75c890

1014341421200 has 60 divisors (see below), whose sum is σ = 2437735122660. Its totient is φ = 405606727680.

The previous prime is 1014341421173. The next prime is 1014341421251. The reversal of 1014341421200 is 21241434101.

It can be written as a sum of positive squares in 6 ways, for example, as 5771137024 + 1008570284176 = 75968^2 + 1004276^2 .

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, 850616 + ... + 1658984.

It is an arithmetic number, because the mean of its divisors is an integer number (40628918711).

Almost surely, 21014341421200 is an apocalyptic number.

1014341421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014341421200 is an abundant number, since it is smaller than the sum of its proper divisors (1423393701460).

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

1014341421200 is a wasteful number, since it uses less digits than its factorization.

1014341421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811524 (or 811513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 1014341421200 its reverse (21241434101), we get a palindrome (1035582855301).

The spelling of 1014341421200 in words is "one trillion, fourteen billion, three hundred forty-one million, four hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3137 6274 12548 15685 25096 31370 50192 62740 78425 125480 156850 250960 313700 627400 808369 1254800 1616738 3233476 4041845 6466952 8083690 12933904 16167380 20209225 32334760 40418450 64669520 80836900 161673800 323347600 2535853553 5071707106 10143414212 12679267765 20286828424 25358535530 40573656848 50717071060 63396338825 101434142120 126792677650 202868284240 253585355300 507170710600 1014341421200