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40400122340 = 22515712866281
BaseRepresentation
bin100101101000000010…
…001111000111100100
310212021112221212011102
4211220002033013210
51130214412403330
630320510455232
72630103242144
oct455002170744
9125245855142
1040400122340
11161518a7966
1279b5b04518
133a6ac37746
141d537a4924
1510b6bc1945
hex96808f1e4

40400122340 has 24 divisors (see below), whose sum is σ = 85380647352. Its totient is φ = 16057117440.

The previous prime is 40400122333. The next prime is 40400122349. The reversal of 40400122340 is 4322100404.

It can be written as a sum of positive squares in 4 ways, for example, as 291248356 + 40108873984 = 17066^2 + 200272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (40400122349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6430001 + ... + 6436280.

It is an arithmetic number, because the mean of its divisors is an integer number (3557526973).

Almost surely, 240400122340 is an apocalyptic number.

It is an amenable number.

40400122340 is an abundant number, since it is smaller than the sum of its proper divisors (44980525012).

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

40400122340 is a wasteful number, since it uses less digits than its factorization.

40400122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866447 (or 12866445 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40400122340 its reverse (4322100404), we get a palindrome (44722222744).

The spelling of 40400122340 in words is "forty billion, four hundred million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 157 314 628 785 1570 3140 12866281 25732562 51465124 64331405 128662810 257325620 2020006117 4040012234 8080024468 10100030585 20200061170 40400122340