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3114643056 = 243731391361
BaseRepresentation
bin1011100110100101…
…1010111001110000
322001001202021001020
42321221122321300
522334322034211
61233021335440
7140120013000
oct27151327160
98031667036
103114643056
111359153478
1272b107580
133a8384075
1421792a000
1513368c306
hexb9a5ae70

3114643056 has 160 divisors (see below), whose sum is σ = 9457728000. Its totient is φ = 882846720.

The previous prime is 3114643009. The next prime is 3114643057. The reversal of 3114643056 is 6503464113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114643057) 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 31 ways as a sum of consecutive naturals, for example, 2287816 + ... + 2289176.

It is an arithmetic number, because the mean of its divisors is an integer number (59110800).

Almost surely, 23114643056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114643056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728864000).

3114643056 is an abundant number, since it is smaller than the sum of its proper divisors (6343084944).

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

3114643056 is a wasteful number, since it uses less digits than its factorization.

3114643056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3114643056 is about 55808.9872332405. The cubic root of 3114643056 is about 1460.3919408105.

The spelling of 3114643056 in words is "three billion, one hundred fourteen million, six hundred forty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 139 147 168 196 278 294 336 343 392 417 556 588 686 784 834 973 1029 1112 1176 1361 1372 1668 1946 2058 2224 2352 2722 2744 2919 3336 3892 4083 4116 5444 5488 5838 6672 6811 7784 8166 8232 9527 10888 11676 13622 15568 16332 16464 19054 20433 21776 23352 27244 28581 32664 38108 40866 46704 47677 54488 57162 65328 66689 76216 81732 95354 108976 114324 133378 143031 152432 163464 189179 190708 200067 228648 266756 286062 326928 378358 381416 400134 457296 466823 533512 567537 572124 756716 762832 800268 933646 1067024 1135074 1144248 1324253 1400469 1513432 1600536 1867292 2270148 2288496 2648506 2800938 3026864 3201072 3734584 3972759 4540296 5297012 5601876 7469168 7945518 9080592 9269771 10594024 11203752 15891036 18539542 21188048 22407504 27809313 31782072 37079084 55618626 63564144 64888397 74158168 111237252 129776794 148316336 194665191 222474504 259553588 389330382 444949008 519107176 778660764 1038214352 1557321528 3114643056