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3144555140310 = 23259710110973251
BaseRepresentation
bin101101110000100110000…
…101111001010011010110
3102010121122110021020222200
4231300212011321103112
5403010022103442220
610404331053505330
7443121002450613
oct55604605712326
912117573236880
103144555140310
111002664442191
124295291a2246
1319a6b803369c
14ac2a94a550a
1556be52e6890
hex2dc261794d6

3144555140310 has 192 divisors, whose sum is σ = 8352086468544. Its totient is φ = 820684800000.

The previous prime is 3144555140303. The next prime is 3144555140347. The reversal of 3144555140310 is 130415554413.

3144555140310 is a `hidden beast` number, since 3 + 14 + 45 + 551 + 40 + 3 + 10 = 666.

3144555140310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31445551403102 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 967256185 + ... + 967259435.

It is an arithmetic number, because the mean of its divisors is an integer number (43500450357).

Almost surely, 23144555140310 is an apocalyptic number.

3144555140310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144555140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176043234272).

3144555140310 is an abundant number, since it is smaller than the sum of its proper divisors (5207531328234).

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

3144555140310 is a wasteful number, since it uses less digits than its factorization.

3144555140310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 3144555140310 in words is "three trillion, one hundred forty-four billion, five hundred fifty-five million, one hundred forty thousand, three hundred ten".