Search a number
-
+
10233140204032 = 29195861179479
BaseRepresentation
bin1001010011101001011010…
…1011111101001000000000
31100020021112010122201210221
42110322112223331020000
52320124432343012112
633433012324432424
72104214516363044
oct224722653751000
940207463581727
1010233140204032
11329593995aa99
121193301b48714
13592c9a2a3185
1427540271a024
1512b2c2a2be07
hex94e96afd200

10233140204032 has 80 divisors (see below), whose sum is σ = 21526206609600. Its totient is φ = 4846422896640.

The previous prime is 10233140204009. The next prime is 10233140204041. The reversal of 10233140204032 is 23040204133201.

It is a junction number, because it is equal to n+sod(n) for n = 10233140203988 and 10233140204006.

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, 56926069 + ... + 57105547.

It is an arithmetic number, because the mean of its divisors is an integer number (269077582620).

Almost surely, 210233140204032 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 10233140204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10763103304800).

10233140204032 is an abundant number, since it is smaller than the sum of its proper divisors (11293066405568).

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

10233140204032 is an equidigital number, since it uses as much as digits as its factorization.

10233140204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185377 (or 185361 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10233140204032 its reverse (23040204133201), we get a palindrome (33273344337233).

The spelling of 10233140204032 in words is "ten trillion, two hundred thirty-three billion, one hundred forty million, two hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 5861 9728 11722 23444 46888 93776 111359 179479 187552 222718 358958 375104 445436 717916 750208 890872 1435832 1500416 1781744 2871664 3000832 3410101 3563488 5743328 6820202 7126976 11486656 13640404 14253952 22973312 27280808 28507904 45946624 54561616 57015808 91893248 109123232 218246464 436492928 872985856 1051926419 1745971712 2103852838 4207705676 8415411352 16830822704 19986601961 33661645408 39973203922 67323290816 79946407844 134646581632 159892815688 269293163264 319785631376 538586326528 639571262752 1279142525504 2558285051008 5116570102016 10233140204032