Search a number
-
+
2023114323040 = 25552541240659
BaseRepresentation
bin11101011100001011000…
…000101011010001100000
321011102000022112010021121
4131130023000223101200
5231121314231314130
64145223401102024
7266110442002666
oct35341300532140
97142008463247
102023114323040
1170aaa83248a8
12288114a87914
13118a182104b5
146dcc261ac36
153795c370d7a
hex1d70b02b460

2023114323040 has 48 divisors (see below), whose sum is σ = 4779718418160. Its totient is φ = 809226964480.

The previous prime is 2023114323031. The next prime is 2023114323053. The reversal of 2023114323040 is 403234113202.

It is a junction number, because it is equal to n+sod(n) for n = 2023114322996 and 2023114323014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8286231 + ... + 8526889.

It is an arithmetic number, because the mean of its divisors is an integer number (99577467045).

Almost surely, 22023114323040 is an apocalyptic number.

2023114323040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023114323040 is an abundant number, since it is smaller than the sum of its proper divisors (2756604095120).

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

2023114323040 is a wasteful number, since it uses less digits than its factorization.

2023114323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293215 (or 293207 counting only the distinct ones).

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

Adding to 2023114323040 its reverse (403234113202), we get a palindrome (2426348436242).

The spelling of 2023114323040 in words is "two trillion, twenty-three billion, one hundred fourteen million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 52541 105082 210164 240659 262705 420328 481318 525410 840656 962636 1050820 1203295 1681312 1925272 2101640 2406590 3850544 4203280 4813180 7701088 8406560 9626360 19252720 38505440 12644464519 25288929038 50577858076 63222322595 101155716152 126444645190 202311432304 252889290380 404622864608 505778580760 1011557161520 2023114323040