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40141223120 = 245501765289
BaseRepresentation
bin100101011000100110…
…100111010011010000
310211121111210102012102
4211120212213103100
51124202123114440
630235101415532
72620510524005
oct453046472320
9124544712172
1040141223120
1116029746069
12794326a5a8
133a293ca53b
141d2b24d8ac
15109e0d0b15
hex9589a74d0

40141223120 has 20 divisors (see below), whose sum is σ = 93328343940. Its totient is φ = 16056489216.

The previous prime is 40141223099. The next prime is 40141223147. The reversal of 40141223120 is 2132214104.

It can be written as a sum of positive squares in 2 ways, for example, as 4476145216 + 35665077904 = 66904^2 + 188852^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×401412231202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40141223092 and 40141223101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250882565 + ... + 250882724.

It is an arithmetic number, because the mean of its divisors is an integer number (4666417197).

Almost surely, 240141223120 is an apocalyptic number.

40141223120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40141223120 is an abundant number, since it is smaller than the sum of its proper divisors (53187120820).

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

40141223120 is a wasteful number, since it uses less digits than its factorization.

40141223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501765302 (or 501765296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 40141223120 its reverse (2132214104), we get a palindrome (42273437224).

The spelling of 40141223120 in words is "forty billion, one hundred forty-one million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 501765289 1003530578 2007061156 2508826445 4014122312 5017652890 8028244624 10035305780 20070611560 40141223120