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40214130034420 = 2255096218963521
BaseRepresentation
bin10010010010011000101001…
…11011111000011011110100
312021101102200212100211002001
421021030110323320123310
520232332014242100140
6221310041042025044
711320242426232246
oct1111142473703364
9167342625324061
1040214130034420
11118a479802a271
124615926948184
13195923a123b44
149d0535042096
1549b0dd90ce9a
hex249314ef86f4

40214130034420 has 48 divisors (see below), whose sum is σ = 84618278715600. Its totient is φ = 16053538672640.

The previous prime is 40214130034387. The next prime is 40214130034423. The reversal of 40214130034420 is 2443003141204.

40214130034420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 81854354404 + 40132275680016 = 286102^2 + 6335004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40214130034423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633052260 + ... + 633115780.

It is an arithmetic number, because the mean of its divisors is an integer number (1762880806575).

Almost surely, 240214130034420 is an apocalyptic number.

It is an amenable number.

40214130034420 is an abundant number, since it is smaller than the sum of its proper divisors (44404148681180).

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

40214130034420 is a wasteful number, since it uses less digits than its factorization.

40214130034420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126228 (or 126226 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40214130034420 its reverse (2443003141204), we get a palindrome (42657133175624).

The spelling of 40214130034420 in words is "forty trillion, two hundred fourteen billion, one hundred thirty million, thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 509 1018 2036 2545 5090 10180 62189 63521 124378 127042 248756 254084 310945 317605 621890 635210 1243780 1270420 31654201 32332189 63308402 64664378 126616804 129328756 158271005 161660945 316542010 323321890 633084020 646643780 3950307469 7900614938 15801229876 19751537345 39503074690 79006149380 2010706501721 4021413003442 8042826006884 10053532508605 20107065017210 40214130034420