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1420224210432 = 2932508160659
BaseRepresentation
bin10100101010101011111…
…101011010011000000000
312000202211212102010121200
4110222223331122120000
5141232104344213212
63004235245421200
7204415323414456
oct24525375323000
95022755363550
101420224210432
114a834a5a5995
121ab2ba26a800
13a3c078947b1
144ca4c5b69d6
1526e239186dc
hex14aabf5a600

1420224210432 has 120 divisors (see below), whose sum is σ = 4099737521880. Its totient is φ = 473307095040.

The previous prime is 1420224210409. The next prime is 1420224210437. The reversal of 1420224210432 is 2340124220241.

It is a happy number.

1420224210432 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 224 + 2 + 1 + 0 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1420224210396 and 1420224210405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420224210437) by changing a digit.

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, 23382919 + ... + 23443577.

It is an arithmetic number, because the mean of its divisors is an integer number (34164479349).

Almost surely, 21420224210432 is an apocalyptic number.

1420224210432 is a gapful number since it is divisible by the number (12) 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 1420224210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049868760940).

1420224210432 is an abundant number, since it is smaller than the sum of its proper divisors (2679513311448).

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

1420224210432 is an equidigital number, since it uses as much as digits as its factorization.

1420224210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65764 (or 65745 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1420224210432 its reverse (2340124220241), we get a palindrome (3760348430673).

The spelling of 1420224210432 in words is "one trillion, four hundred twenty billion, two hundred twenty-four million, two hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5081 10162 15243 20324 30486 40648 45729 60659 60972 81296 91458 121318 121944 162592 181977 182916 242636 243888 325184 363954 365832 485272 487776 545931 650368 727908 731664 970544 975552 1091862 1300736 1455816 1463328 1941088 1951104 2183724 2601472 2911632 2926656 3882176 3902208 4367448 5823264 5853312 7764352 7804416 8734896 11646528 11706624 15528704 17469792 23293056 23413248 31057408 34939584 46586112 69879168 93172224 139758336 279516672 308208379 616416758 924625137 1232833516 1849250274 2465667032 2773875411 3698500548 4931334064 5547750822 7397001096 9862668128 11095501644 14794002192 19725336256 22191003288 29588004384 39450672512 44382006576 59176008768 78901345024 88764013152 118352017536 157802690048 177528026304 236704035072 355056052608 473408070144 710112105216 1420224210432