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1404111021200 = 245234429101957
BaseRepresentation
bin10100011011101011100…
…010011110010010010000
311222020020220121022101022
4110123223202132102100
5141001104410134300
62553012324055012
7203305115520416
oct24335342362220
94866226538338
101404111021200
114a1531080378
121a8161b34468
13a253a52a6b4
144bd605bd2b6
15267ce015285
hex146eb89e490

1404111021200 has 60 divisors (see below), whose sum is σ = 3373507796340. Its totient is φ = 561622586880.

The previous prime is 1404111021191. The next prime is 1404111021227. The reversal of 1404111021200 is 21201114041.

It can be written as a sum of positive squares in 6 ways, for example, as 435807376 + 1403675213824 = 20876^2 + 1184768^2 .

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, 13720622 + ... + 13822578.

It is an arithmetic number, because the mean of its divisors is an integer number (56225129939).

Almost surely, 21404111021200 is an apocalyptic number.

1404111021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404111021200 is an abundant number, since it is smaller than the sum of its proper divisors (1969396775140).

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

1404111021200 is a wasteful number, since it uses less digits than its factorization.

1404111021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136404 (or 136393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1404111021200 its reverse (21201114041), we get a palindrome (1425312135241).

It can be divided in two parts, 140411 and 1021200, that added together give a palindrome (1161611).

The spelling of 1404111021200 in words is "one trillion, four hundred four billion, one hundred eleven million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 34429 68858 101957 137716 172145 203914 275432 344290 407828 509785 550864 688580 815656 860725 1019570 1377160 1631312 1721450 2039140 2548925 2754320 3442900 4078280 5097850 6885800 8156560 10195700 13771600 20391400 40782800 3510277553 7020555106 14041110212 17551387765 28082220424 35102775530 56164440848 70205551060 87756938825 140411102120 175513877650 280822204240 351027755300 702055510600 1404111021200