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1321442234240 = 27515491332959
BaseRepresentation
bin10011001110101100000…
…110000100111110000000
311200022212120200210220212
4103032230012010332000
5133122303202443430
62451021233053252
7164320366443002
oct23165406047600
94608776623825
101321442234240
1146a469767137
121941303b7228
13977c451a2cb
1447d5b218372
15245915c9b95
hex133ac184f80

1321442234240 has 64 divisors (see below), whose sum is σ = 3161114640000. Its totient is φ = 528235259904.

The previous prime is 1321442234213. The next prime is 1321442234279. The reversal of 1321442234240 is 424322441231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1321442234197 and 1321442234206.

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 7 ways as a sum of consecutive naturals, for example, 324881 + ... + 1657839.

It is an arithmetic number, because the mean of its divisors is an integer number (49392416250).

Almost surely, 21321442234240 is an apocalyptic number.

1321442234240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321442234240 is an abundant number, since it is smaller than the sum of its proper divisors (1839672405760).

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

1321442234240 is a wasteful number, since it uses less digits than its factorization.

1321442234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334527 (or 1334515 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 1321442234240 its reverse (424322441231), we get a palindrome (1745764675471).

The spelling of 1321442234240 in words is "one trillion, three hundred twenty-one billion, four hundred forty-two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1549 3098 6196 7745 12392 15490 24784 30980 49568 61960 99136 123920 198272 247840 495680 991360 1332959 2665918 5331836 6664795 10663672 13329590 21327344 26659180 42654688 53318360 85309376 106636720 170618752 213273440 426546880 853093760 2064753491 4129506982 8259013964 10323767455 16518027928 20647534910 33036055856 41295069820 66072111712 82590139640 132144223424 165180279280 264288446848 330360558560 660721117120 1321442234240