Search a number
-
+
10042023042024 = 233463903709777
BaseRepresentation
bin1001001000100001011100…
…1101110101101111101000
31022120000012211222222021020
42102020113031311233220
52304012030344321044
633205124112412440
72054340456325641
oct222102715655750
938500184888236
1010042023042024
113221886237516
121162265247120
1357ac6039206c
1426a0722726c8
1512633933ea19
hex92217375be8

10042023042024 has 32 divisors (see below), whose sum is σ = 25159280219520. Its totient is φ = 3340111332096.

The previous prime is 10042023042011. The next prime is 10042023042043. The reversal of 10042023042024 is 42024032024001.

10042023042024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10042023041985 and 10042023042003.

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, 451843777 + ... + 451866000.

It is an arithmetic number, because the mean of its divisors is an integer number (786227506860).

Almost surely, 210042023042024 is an apocalyptic number.

It is an amenable number.

10042023042024 is an abundant number, since it is smaller than the sum of its proper divisors (15117257177496).

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

10042023042024 is a wasteful number, since it uses less digits than its factorization.

10042023042024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903710249 (or 903710245 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10042023042024 its reverse (42024032024001), we get a palindrome (52066055066025).

The spelling of 10042023042024 in words is "ten trillion, forty-two billion, twenty-three million, forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 463 926 1389 1852 2778 3704 5556 11112 903709777 1807419554 2711129331 3614839108 5422258662 7229678216 10844517324 21689034648 418417626751 836835253502 1255252880253 1673670507004 2510505760506 3347341014008 5021011521012 10042023042024