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2023040233040 = 245431151510941
BaseRepresentation
bin11101011100000110100…
…110000010111001010000
321011101211011002221220112
4131130012212002321100
5231121141244424130
64145212153100452
7266105552153111
oct35340646027120
97141734087815
102023040233040
1170aa6a51a9a2
122880b40b7728
13118a05a6c168
146dcb6852208
1537955ad8495
hex1d706982e50

2023040233040 has 80 divisors (see below), whose sum is σ = 4817144825856. Its totient is φ = 789708864000.

The previous prime is 2023040233021. The next prime is 2023040233043. The reversal of 2023040233040 is 403320403202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2023040232997 and 2023040233015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023040233043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3703970 + ... + 4214910.

Almost surely, 22023040233040 is an apocalyptic number.

2023040233040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023040233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408572412928).

2023040233040 is an abundant number, since it is smaller than the sum of its proper divisors (2794104592816).

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

2023040233040 is a wasteful number, since it uses less digits than its factorization.

2023040233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512148 (or 512142 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 2023040233040 its reverse (403320403202), we get a palindrome (2426360636242).

The spelling of 2023040233040 in words is "two trillion, twenty-three billion, forty million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1151 1720 2302 3440 4604 5755 9208 11510 18416 23020 46040 49493 92080 98986 197972 247465 395944 494930 510941 791888 989860 1021882 1979720 2043764 2554705 3959440 4087528 5109410 8175056 10218820 20437640 21970463 40875280 43940926 87881852 109852315 175763704 219704630 351527408 439409260 588093091 878818520 1176186182 1757637040 2352372364 2940465455 4704744728 5880930910 9409489456 11761861820 23523723640 25288002913 47047447280 50576005826 101152011652 126440014565 202304023304 252880029130 404608046608 505760058260 1011520116520 2023040233040