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1050422440400 = 245219138213479
BaseRepresentation
bin11110100100100100000…
…11100111000111010000
310201102022202010210101122
433102102003213013100
5114202231121043100
62122320222221412
7135614306265314
oct17222203470720
93642282123348
101050422440400
113755330a0743
1214b6b4424868
1378092705ca8
1438baacddb44
151c4cd253985
hexf4920e71d0

1050422440400 has 60 divisors (see below), whose sum is σ = 2656463085600. Its totient is φ = 398054816640.

The previous prime is 1050422440393. The next prime is 1050422440409. The reversal of 1050422440400 is 40442240501.

It is a super-3 number, since 3×10504224404003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1050422440400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1050422440409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69099140 + ... + 69114339.

It is an arithmetic number, because the mean of its divisors is an integer number (44274384760).

Almost surely, 21050422440400 is an apocalyptic number.

1050422440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1050422440400 is an abundant number, since it is smaller than the sum of its proper divisors (1606040645200).

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

1050422440400 is a wasteful number, since it uses less digits than its factorization.

1050422440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138213516 (or 138213505 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 1050422440400 its reverse (40442240501), we get a palindrome (1090864680901).

The spelling of 1050422440400 in words is "one trillion, fifty billion, four hundred twenty-two million, four hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 138213479 276426958 552853916 691067395 1105707832 1382134790 2211415664 2626056101 2764269580 3455336975 5252112202 5528539160 6910673950 10504224404 11057078320 13130280505 13821347900 21008448808 26260561010 27642695800 42016897616 52521122020 55285391600 65651402525 105042244040 131302805050 210084488080 262605610100 525211220200 1050422440400