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34857278230140 = 223351922853148663
BaseRepresentation
bin1111110110011110101111…
…01011111100111001111100
311120102022201122121202211000
413323033113223330321330
514032100201211331030
6202045113524530300
710225232564206062
oct773172753747174
9146368648552730
1034857278230140
11101199859194a3
123aab6a7b50990
13165b047aa4c02
1488715bc46032
15406ab7893860
hex1fb3d7afce7c

34857278230140 has 192 divisors, whose sum is σ = 114158253081600. Its totient is φ = 8805604670208.

The previous prime is 34857278230127. The next prime is 34857278230147. The reversal of 34857278230140 is 4103287275843.

It is a happy number.

34857278230140 is a `hidden beast` number, since 3 + 4 + 8 + 572 + 7 + 8 + 23 + 0 + 1 + 40 = 666.

It is a super-3 number, since 3×348572782301403 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34857278230147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 234397449 + ... + 234546111.

It is an arithmetic number, because the mean of its divisors is an integer number (594574234800).

Almost surely, 234857278230140 is an apocalyptic number.

34857278230140 is a gapful number since it is divisible by the number (30) 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 34857278230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57079126540800).

34857278230140 is an abundant number, since it is smaller than the sum of its proper divisors (79300974851460).

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

34857278230140 is a wasteful number, since it uses less digits than its factorization.

34857278230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171553 (or 171545 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 34857278230140 in words is "thirty-four trillion, eight hundred fifty-seven billion, two hundred seventy-eight million, two hundred thirty thousand, one hundred forty".