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1142224431354 = 232232946712671
BaseRepresentation
bin10000100111110001111…
…000011010100011111010
311001012021120210010101200
4100213301320122203322
5122203233423300404
62232421453355030
7145344246320646
oct20476170324372
94035246703350
101142224431354
11400461a06256
12165454798a76
13839329645b6
143d3d9271c26
151eaa28cd839
hex109f1e1a8fa

1142224431354 has 72 divisors (see below), whose sum is σ = 2587576223232. Its totient is φ = 364120291920.

The previous prime is 1142224431323. The next prime is 1142224431379. The reversal of 1142224431354 is 4531344222411.

1142224431354 is a `hidden beast` number, since 1 + 1 + 42 + 224 + 43 + 1 + 354 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90138439 + ... + 90151109.

It is an arithmetic number, because the mean of its divisors is an integer number (35938558656).

Almost surely, 21142224431354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142224431354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293788111616).

1142224431354 is an abundant number, since it is smaller than the sum of its proper divisors (1445351791878).

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

1142224431354 is a wasteful number, since it uses less digits than its factorization.

1142224431354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192 (or 22166 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 1142224431354 its reverse (4531344222411), we get a palindrome (5673568653765).

The spelling of 1142224431354 in words is "one trillion, one hundred forty-two billion, two hundred twenty-four million, four hundred thirty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1587 3174 4761 9467 9522 12671 18934 25342 28401 38013 56802 76026 85203 114039 170406 217741 228078 291433 435482 582866 653223 874299 1306446 1748598 1959669 2622897 3919338 5008043 5245794 6702959 10016086 13405918 15024129 20108877 30048258 40217754 45072387 60326631 90144774 119956357 120653262 239912714 359869071 719738142 1079607213 2159214426 2758996211 5517992422 8276988633 16553977266 24830965899 49661931798 63456912853 126913825706 190370738559 380741477118 571112215677 1142224431354