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2411068674144 = 253134421436993
BaseRepresentation
bin100011000101011110111…
…001000101000001100000
322112111101112002010102010
4203011132321011001200
5304000332040033034
65043344001152520
7336123346404054
oct43053671050140
98474345063363
102411068674144
1184a58a456969
1232b34602b740
131464940c3230
14849a6abbc64
1542ab64cd3e9
hex2315ee45060

2411068674144 has 96 divisors (see below), whose sum is σ = 6817462987104. Its totient is φ = 741697781760.

The previous prime is 2411068674143. The next prime is 2411068674151. The reversal of 2411068674144 is 4414768601142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2411068674093 and 2411068674102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2411068674143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5298912 + ... + 5735904.

It is an arithmetic number, because the mean of its divisors is an integer number (71015239449).

Almost surely, 22411068674144 is an apocalyptic number.

2411068674144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2411068674144 is an abundant number, since it is smaller than the sum of its proper divisors (4406394312960).

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

2411068674144 is a wasteful number, since it uses less digits than its factorization.

2411068674144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441440 (or 441432 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 2411068674144 in words is "two trillion, four hundred eleven billion, sixty-eight million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 4421 8842 13263 17684 26526 35368 53052 57473 70736 106104 114946 141472 172419 212208 229892 344838 424416 436993 459784 689676 873986 919568 1310979 1379352 1747972 1839136 2621958 2758704 3495944 5243916 5517408 5680909 6991888 10487832 11361818 13983776 17042727 20975664 22723636 34085454 41951328 45447272 68170908 90894544 136341816 181789088 272683632 545367264 1931946053 3863892106 5795838159 7727784212 11591676318 15455568424 23183352636 25115298689 30911136848 46366705272 50230597378 61822273696 75345896067 92733410544 100461194756 150691792134 185466821088 200922389512 301383584268 401844779024 602767168536 803689558048 1205534337072 2411068674144