Search a number
-
+
4140016006680 = 2332553216981971
BaseRepresentation
bin111100001111101100001…
…011101111011000011000
3112122210002211111210201100
4330033230023233120120
51020312223044203210
612445521434551400
7605051312300121
oct74175413573030
915583084453640
104140016006680
111356853118874
1256a442b98560
1324052baa3328
14104540b37048
1572a582de5c0
hex3c3ec2ef618

4140016006680 has 96 divisors (see below), whose sum is σ = 13708920990960. Its totient is φ = 1083173994240.

The previous prime is 4140016006663. The next prime is 4140016006747. The reversal of 4140016006680 is 866006100414.

4140016006680 is a `hidden beast` number, since 4 + 1 + 40 + 0 + 1 + 600 + 6 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×41400160066802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108471906 + ... + 108510065.

Almost surely, 24140016006680 is an apocalyptic number.

4140016006680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140016006680 is an abundant number, since it is smaller than the sum of its proper divisors (9568904984280).

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

4140016006680 is a wasteful number, since it uses less digits than its factorization.

4140016006680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216982041 (or 216982034 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4140016006680 in words is "four trillion, one hundred forty billion, sixteen million, six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1908 2120 2385 3180 3816 4770 6360 9540 19080 216981971 433963942 650945913 867927884 1084909855 1301891826 1735855768 1952837739 2169819710 2603783652 3254729565 3905675478 4339639420 5207567304 6509459130 7811350956 8679278840 9764188695 11500044463 13018918260 15622701912 19528377390 23000088926 26037836520 34500133389 39056754780 46000177852 57500222315 69000266778 78113509560 92000355704 103500400167 115000444630 138000533556 172500666945 207000800334 230000889260 276001067112 345001333890 414001600668 460001778520 517502000835 690002667780 828003201336 1035004001670 1380005335560 2070008003340 4140016006680