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40023432240 = 243511611571583
BaseRepresentation
bin100101010001100101…
…010001110000110000
310211022022011000111020
4211101211101300300
51123431444312430
630215253015440
72614550363241
oct452145216060
9124268130436
1040023432240
1115a79203030
12790b924580
133a0ab97cac
141d1974acc8
151093ab4b10
hex951951c30

40023432240 has 320 divisors, whose sum is σ = 138534561792. Its totient is φ = 9476812800.

The previous prime is 40023432233. The next prime is 40023432259. The reversal of 40023432240 is 4223432004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40023432240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25282489 + ... + 25284071.

Almost surely, 240023432240 is an apocalyptic number.

40023432240 is a gapful number since it is divisible by the number (40) 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 40023432240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69267280896).

40023432240 is an abundant number, since it is smaller than the sum of its proper divisors (98511129552).

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

40023432240 is a wasteful number, since it uses less digits than its factorization.

40023432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 40023432240 its reverse (4223432004), we get a palindrome (44246864244).

The spelling of 40023432240 in words is "forty billion, twenty-three million, four hundred thirty-two thousand, two hundred forty".