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2934775041120 = 2532513347451793
BaseRepresentation
bin101010101101001110001…
…110010100110001100000
3101101120011112000001120100
4222231032032110301200
5341040404402303440
610124114514142400
7422013314153106
oct52551616246140
911346145001510
102934775041120
11a316a400178a
123b4942281a00
1318399575b590
14a2088543c76
1551518450230
hex2ab4e394c60

2934775041120 has 288 divisors, whose sum is σ = 10816403768352. Its totient is φ = 720322707456.

The previous prime is 2934775041083. The next prime is 2934775041151. The reversal of 2934775041120 is 211405774392.

2934775041120 is a `hidden beast` number, since 2 + 9 + 3 + 477 + 50 + 4 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×29347750411202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6269944 + ... + 6721736.

It is an arithmetic number, because the mean of its divisors is an integer number (37556957529).

Almost surely, 22934775041120 is an apocalyptic number.

2934775041120 is a gapful number since it is divisible by the number (20) 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 2934775041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408201884176).

2934775041120 is an abundant number, since it is smaller than the sum of its proper divisors (7881628727232).

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

2934775041120 is a wasteful number, since it uses less digits than its factorization.

2934775041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452174 (or 452163 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 2934775041120 in words is "two trillion, nine hundred thirty-four billion, seven hundred seventy-five million, forty-one thousand, one hundred twenty".