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340023344102240 = 2553168553093569
BaseRepresentation
bin100110101001111111101101…
…0101000111111101101100000
31122120220220200110220212021212
41031103333122220333231200
5324031420302042232430
63203100322353405252
7131422606305244661
oct11523773250775540
91576826613825255
10340023344102240
11993840aa3a0077
1232176975b69828
13117960aa12b316
145dd73093b3368
152949bc2babb95
hex1353fdaa3fb60

340023344102240 has 48 divisors (see below), whose sum is σ = 829218219822720. Its totient is φ = 131621939650560.

The previous prime is 340023344102179. The next prime is 340023344102297. The reversal of 340023344102240 is 42201443320043.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 340023344102197 and 340023344102206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34276541825 + ... + 34276551744.

It is an arithmetic number, because the mean of its divisors is an integer number (17275379579640).

Almost surely, 2340023344102240 is an apocalyptic number.

It is an amenable number.

340023344102240 is an abundant number, since it is smaller than the sum of its proper divisors (489194875720480).

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

340023344102240 is a wasteful number, since it uses less digits than its factorization.

340023344102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68553093615 (or 68553093607 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 340023344102240 its reverse (42201443320043), we get a palindrome (382224787422283).

The spelling of 340023344102240 in words is "three hundred forty trillion, twenty-three billion, three hundred forty-four million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 68553093569 137106187138 274212374276 342765467845 548424748552 685530935690 1096849497104 1371061871380 2125145900639 2193698994208 2742123742760 4250291801278 5484247485520 8500583602556 10625729503195 10968494971040 17001167205112 21251459006390 34002334410224 42502918012780 68004668820448 85005836025560 170011672051120 340023344102240