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40232023024 = 24191916171123
BaseRepresentation
bin100101011110000000…
…111111001111110000
310211211211122112020211
4211132000333033300
51124343344214044
630252103513504
72622662360524
oct453600771760
9124754575224
1040232023024
1116075a23406
127969758894
133a4216c5ab
141d39327d84
1510a7069634
hex95e03f3f0

40232023024 has 80 divisors (see below), whose sum is σ = 82688993280. Its totient is φ = 18909918720.

The previous prime is 40232023009. The next prime is 40232023033. The reversal of 40232023024 is 42032023204.

It is a super-2 number, since 2×402320230242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40232022986 and 40232023004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35824927 + ... + 35826049.

It is an arithmetic number, because the mean of its divisors is an integer number (1033612416).

Almost surely, 240232023024 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 40232023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41344496640).

40232023024 is an abundant number, since it is smaller than the sum of its proper divisors (42456970256).

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

40232023024 is a wasteful number, since it uses less digits than its factorization.

40232023024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 40232023024 its reverse (42032023204), we get a palindrome (82264046228).

The spelling of 40232023024 in words is "forty billion, two hundred thirty-two million, twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 617 764 1123 1234 1528 2246 2468 3056 3629 4492 4936 7258 8984 9872 11723 14516 17968 21337 23446 29032 42674 46892 58064 85348 93784 117847 170696 187568 214493 235694 341392 428986 471388 692891 857972 942776 1385782 1715944 1885552 2239093 2771564 3431888 4075367 4478186 5543128 8150734 8956372 11086256 13164929 16301468 17912744 26329858 32602936 35825488 52659716 65205872 105319432 132342181 210638864 264684362 529368724 1058737448 2117474896 2514501439 5029002878 10058005756 20116011512 40232023024