Search a number
-
+
4141651404 = 223113349743
BaseRepresentation
bin1111011011011100…
…1001010111001100
3101200122020200122110
43312313021113030
531440230321104
61522545544020
7204430312302
oct36667112714
911618220573
104141651404
111835944000
12977045010
13510089607
142b40a8272
15193905e89
hexf6dc95cc

4141651404 has 96 divisors (see below), whose sum is σ = 10674316800. Its totient is φ = 1249765440.

The previous prime is 4141651399. The next prime is 4141651411. The reversal of 4141651404 is 4041561414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5573857 + ... + 5574599.

It is an arithmetic number, because the mean of its divisors is an integer number (111190800).

Almost surely, 24141651404 is an apocalyptic number.

4141651404 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 4141651404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337158400).

4141651404 is an abundant number, since it is smaller than the sum of its proper divisors (6532665396).

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

4141651404 is a wasteful number, since it uses less digits than its factorization.

4141651404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4141651404 is about 64355.6633405328. The cubic root of 4141651404 is about 1605.9222455632.

The spelling of 4141651404 in words is "four billion, one hundred forty-one million, six hundred fifty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 349 363 484 698 726 743 1047 1331 1396 1452 1486 2094 2229 2662 2972 3839 3993 4188 4458 5324 7678 7986 8173 8916 11517 15356 15972 16346 23034 24519 32692 42229 46068 49038 84458 89903 98076 126687 168916 179806 253374 259307 269709 359612 464519 506748 518614 539418 777921 929038 988933 1037228 1078836 1393557 1555842 1858076 1977866 2787114 2852377 2966799 3111684 3955732 5574228 5704754 5933598 8557131 11409508 11867196 17114262 31376147 34228524 62752294 94128441 125504588 188256882 345137617 376513764 690275234 1035412851 1380550468 2070825702 4141651404