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231379110144 = 283572135839
BaseRepresentation
bin1101011101111101000…
…1010000100100000000
3211010020012121122100000
43113133101100210000
512242331023011034
6254143305200000
722500534662100
oct3273721204400
9733205548300
10231379110144
118a144526086
1238a14490000
1318a8532a580
14b2ad761200
1560431b8599
hex35df450900

231379110144 has 648 divisors, whose sum is σ = 866838161280. Its totient is φ = 61012611072.

The previous prime is 231379110143. The next prime is 231379110167. The reversal of 231379110144 is 441011973132.

It is a happy number.

231379110144 is a `hidden beast` number, since 2 + 31 + 379 + 110 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×2313791101442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 231379110099 and 231379110108.

It is not an unprimeable number, because it can be changed into a prime (231379110143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39623577 + ... + 39629415.

Almost surely, 2231379110144 is an apocalyptic number.

231379110144 is a gapful number since it is divisible by the number (24) 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 231379110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433419080640).

231379110144 is an abundant number, since it is smaller than the sum of its proper divisors (635459051136).

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

231379110144 is an equidigital number, since it uses as much as digits as its factorization.

231379110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5864 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 231379110144 in words is "two hundred thirty-one billion, three hundred seventy-nine million, one hundred ten thousand, one hundred forty-four".