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4140608384 = 27112833221
BaseRepresentation
bin1111011011001100…
…1010101110000000
3101200120021200220002
43312303022232000
531434443432014
61522511335132
7204415406363
oct36663125600
911616250802
104140608384
1118352a1400
129768214a8
1350cab2943
142b3cb60da
1519379bdde
hexf6ccab80

4140608384 has 96 divisors (see below), whose sum is σ = 9179026920. Its totient is φ = 1858841600.

The previous prime is 4140608369. The next prime is 4140608387. The reversal of 4140608384 is 4838060414.

4140608384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140608387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1283894 + ... + 1287114.

Almost surely, 24140608384 is an apocalyptic number.

4140608384 is a gapful number since it is divisible by the number (44) 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 4140608384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589513460).

4140608384 is an abundant number, since it is smaller than the sum of its proper divisors (5038418536).

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

4140608384 is a wasteful number, since it uses less digits than its factorization.

4140608384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 4140608384 is about 64347.5592699521. The cubic root of 4140608384 is about 1605.7874241690.

Adding to 4140608384 its reverse (4838060414), we get a palindrome (8978668798).

The spelling of 4140608384 in words is "four billion, one hundred forty million, six hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 121 128 166 176 242 332 352 484 664 704 913 968 1328 1408 1826 1936 2656 3221 3652 3872 5312 6442 7304 7744 10043 10624 12884 14608 15488 20086 25768 29216 35431 40172 51536 58432 70862 80344 103072 116864 141724 160688 206144 267343 283448 321376 389741 412288 534686 566896 642752 779482 1069372 1133792 1285504 1558964 2138744 2267584 2940773 3117928 4277488 4535168 5881546 6235856 8554976 11763092 12471712 17109952 23526184 24943424 32348503 34219904 47052368 49886848 64697006 94104736 129394012 188209472 258788024 376418944 517576048 1035152096 2070304192 4140608384