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10042210420224 = 2936537897409
BaseRepresentation
bin1001001000100010001001…
…1000101000011000000000
31022120000200220120202211120
42102020202120220120000
52304012421331421344
633205154444512240
72054345223114033
oct222104230503000
938500626522746
1010042210420224
113221971a89534
1211622b7b4b680
1357ac9014a338
1426a08d0cb01a
1512634aa04219
hex92222628600

10042210420224 has 40 divisors (see below), whose sum is σ = 26753076201720. Its totient is φ = 3347403472896.

The previous prime is 10042210420223. The next prime is 10042210420273. The reversal of 10042210420224 is 42202401224001.

Adding to 10042210420224 its reverse (42202401224001), we get a palindrome (52244611644225).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10042210420194 and 10042210420203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042210420223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3268947169 + ... + 3268950240.

It is an arithmetic number, because the mean of its divisors is an integer number (668826905043).

Almost surely, 210042210420224 is an apocalyptic number.

It is an amenable number.

10042210420224 is an abundant number, since it is smaller than the sum of its proper divisors (16710865781496).

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

10042210420224 is an frugal number, since it uses more digits than its factorization.

10042210420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6537897430 (or 6537897414 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 10042210420224 in words is "ten trillion, forty-two billion, two hundred ten million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 6537897409 13075794818 19613692227 26151589636 39227384454 52303179272 78454768908 104606358544 156909537816 209212717088 313819075632 418425434176 627638151264 836850868352 1255276302528 1673701736704 2510552605056 3347403473408 5021105210112 10042210420224