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4140302004 = 2232473836389
BaseRepresentation
bin1111011011000111…
…1111111010110100
3101200112201010121200
43312301333322310
531434404131004
61522501012500
7204412662216
oct36661777264
911615633550
104140302004
1118351021a3
129766b4130
1350ca06357
142b3c365b6
1519373b239
hexf6c7feb4

4140302004 has 72 divisors (see below), whose sum is σ = 10718023680. Its totient is φ = 1346999232.

The previous prime is 4140302003. The next prime is 4140302099. The reversal of 4140302004 is 4002030414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140302003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644842 + ... + 651230.

It is an arithmetic number, because the mean of its divisors is an integer number (148861440).

Almost surely, 24140302004 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 4140302004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359011840).

4140302004 is an abundant number, since it is smaller than the sum of its proper divisors (6577721676).

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

4140302004 is a wasteful number, since it uses less digits than its factorization.

4140302004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4140302004 is about 64345.1785606350. The cubic root of 4140302004 is about 1605.7478170033.

Adding to 4140302004 its reverse (4002030414), we get a palindrome (8142332418).

The spelling of 4140302004 in words is "four billion, one hundred forty million, three hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 383 423 564 766 846 1149 1532 1692 2298 3447 4596 6389 6894 12778 13788 18001 19167 25556 36002 38334 54003 57501 72004 76668 108006 115002 162009 216012 230004 300283 324018 600566 648036 900849 1201132 1801698 2446987 2702547 3603396 4893974 5405094 7340961 9787948 10810188 14681922 22022883 29363844 44045766 88091532 115008389 230016778 345025167 460033556 690050334 1035075501 1380100668 2070151002 4140302004