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1114042004224 = 2819239958319
BaseRepresentation
bin10000001101100010000…
…100111111001100000000
310221111112111120111021021
4100031202010333030000
5121223024223113344
62211441150235224
7143325666536242
oct20154204771400
93844474514237
101114042004224
1139a50a739666
1215baaa4b5b14
1381091003006
143bcc4396092
151dea362eb84
hex1036213f300

1114042004224 has 72 divisors (see below), whose sum is σ = 2350567296000. Its totient is φ = 525495591936.

The previous prime is 1114042004219. The next prime is 1114042004233. The reversal of 1114042004224 is 4224002404111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 683337 + ... + 1641655.

It is an arithmetic number, because the mean of its divisors is an integer number (32646768000).

Almost surely, 21114042004224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114042004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175283648000).

1114042004224 is an abundant number, since it is smaller than the sum of its proper divisors (1236525291776).

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

1114042004224 is an equidigital number, since it uses as much as digits as its factorization.

1114042004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958593 (or 958579 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1114042004224 its reverse (4224002404111), we get a palindrome (5338044408335).

The spelling of 1114042004224 in words is "one trillion, one hundred fourteen billion, forty-two million, four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 239 256 304 478 608 956 1216 1912 2432 3824 4541 4864 7648 9082 15296 18164 30592 36328 61184 72656 145312 290624 581248 958319 1162496 1916638 3833276 7666552 15333104 18208061 30666208 36416122 61332416 72832244 122664832 145664488 229038241 245329664 291328976 458076482 582657952 916152964 1165315904 1832305928 2330631808 3664611856 4351726579 4661263616 7329223712 8703453158 14658447424 17406906316 29316894848 34813812632 58633789696 69627625264 139255250528 278510501056 557021002112 1114042004224