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4114322201024 = 26744293207341
BaseRepresentation
bin111011110111110000101…
…101101001100111000000
3112120022210012002020110122
4323313300231221213000
51014402112440413044
612430032111315412
7603151511453540
oct73676055514700
915508705066418
104114322201024
111346968693342
1256547221bb68
1323ac958b9029
141031c4589320
157205276edee
hex3bdf0b699c0

4114322201024 has 56 divisors (see below), whose sum is σ = 9330950652768. Its totient is φ = 1763232629760.

The previous prime is 4114322201009. The next prime is 4114322201027. The reversal of 4114322201024 is 4201022234114.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 4114322200984 and 4114322201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114322201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19739594 + ... + 19946934.

Almost surely, 24114322201024 is an apocalyptic number.

It is an amenable number.

4114322201024 is an abundant number, since it is smaller than the sum of its proper divisors (5216628451744).

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

4114322201024 is a wasteful number, since it uses less digits than its factorization.

4114322201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251653 (or 251643 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4114322201024 its reverse (4201022234114), we get a palindrome (8315344435138).

The spelling of 4114322201024 in words is "four trillion, one hundred fourteen billion, three hundred twenty-two million, two hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 44293 88586 177172 207341 310051 354344 414682 620102 708688 829364 1240204 1417376 1451387 1658728 2480408 2834752 2902774 3317456 4960816 5805548 6634912 9921632 11611096 13269824 19843264 23222192 46444384 92888768 9183754913 18367509826 36735019652 64286284391 73470039304 128572568782 146940078608 257145137564 293880157216 514290275128 587760314432 1028580550256 2057161100512 4114322201024