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4140112944 = 2431161191673
BaseRepresentation
bin1111011011000101…
…0001110000110000
3101200112100112021110
43312301101300300
531434332103234
61522452553320
7204411244062
oct36661216060
911615315243
104140112944
111834a93150
12976622840
1350c96b296
142b3bc7732
151937001e9
hexf6c51c30

4140112944 has 160 divisors (see below), whose sum is σ = 11938664448. Its totient is φ = 1225728000.

The previous prime is 4140112943. The next prime is 4140112979. The reversal of 4140112944 is 4492110414.

It is not an unprimeable number, because it can be changed into a prime (4140112943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6151392 + ... + 6152064.

Almost surely, 24140112944 is an apocalyptic number.

4140112944 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 4140112944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969332224).

4140112944 is an abundant number, since it is smaller than the sum of its proper divisors (7798551504).

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

4140112944 is a wasteful number, since it uses less digits than its factorization.

4140112944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4140112944 is about 64343.7094361213. The cubic root of 4140112944 is about 1605.7233753641.

It can be divided in two parts, 41401 and 12944, that added together give a palindrome (54345).

The spelling of 4140112944 in words is "four billion, one hundred forty million, one hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 191 244 264 366 382 488 528 573 671 673 732 764 976 1146 1342 1346 1464 1528 2013 2019 2101 2292 2684 2692 2928 3056 4026 4038 4202 4584 5368 5384 6303 7403 8052 8076 8404 9168 10736 10768 11651 12606 14806 16104 16152 16808 22209 23302 25212 29612 32208 32304 33616 34953 41053 44418 46604 50424 59224 69906 82106 88836 93208 100848 118448 123159 128161 128543 139812 164212 177672 186416 246318 256322 257086 279624 328424 355344 384483 385629 451583 492636 512644 514172 559248 656848 768966 771258 903166 985272 1025288 1028344 1354749 1413973 1537932 1542516 1806332 1970544 2050576 2056688 2709498 2827946 3075864 3085032 3612664 4241919 5418996 5655892 6151728 6170064 7225328 7841123 8483838 10837992 11311784 15682246 16967676 21675984 22623568 23523369 31364492 33935352 47046738 62728984 67870704 86252353 94093476 125457968 172504706 188186952 258757059 345009412 376373904 517514118 690018824 1035028236 1380037648 2070056472 4140112944