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10140332041120 = 25563377075257
BaseRepresentation
bin1001001110001111101011…
…1000111010001110100000
31022220101222011201120100211
42103203322320322032200
52312114400000303440
633322223151423504
72064420611122441
oct223437270721640
938811864646324
1010140332041120
11325a544096606
121179320824b94
135872c9756348
14270b1a8b12c8
15128b8eda1eea
hex938fae3a3a0

10140332041120 has 24 divisors (see below), whose sum is σ = 23956534447524. Its totient is φ = 4056132816384.

The previous prime is 10140332041057. The next prime is 10140332041121. The reversal of 10140332041120 is 2114023304101.

10140332041120 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 2 ways, for example, as 9826494556176 + 313837484944 = 3134724^2 + 560212^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10140332041091 and 10140332041100.

It is not an unprimeable number, because it can be changed into a prime (10140332041121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31688537469 + ... + 31688537788.

Almost surely, 210140332041120 is an apocalyptic number.

10140332041120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10140332041120 is an abundant number, since it is smaller than the sum of its proper divisors (13816202406404).

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

10140332041120 is an equidigital number, since it uses as much as digits as its factorization.

10140332041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63377075272 (or 63377075264 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10140332041120 its reverse (2114023304101), we get a palindrome (12254355345221).

The spelling of 10140332041120 in words is "ten trillion, one hundred forty billion, three hundred thirty-two million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 63377075257 126754150514 253508301028 316885376285 507016602056 633770752570 1014033204112 1267541505140 2028066408224 2535083010280 5070166020560 10140332041120