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6140330416 = 2411476611123
BaseRepresentation
bin1011011011111111…
…00000000110110000
3120211221010002211001
411231333200012300
5100033411033131
62453144331344
7305106642643
oct55577400660
916757102731
106140330416
112671069140
121234473b54
1376b19060c
144236dba5a
1525e107261
hex16dfe01b0

6140330416 has 80 divisors (see below), whose sum is σ = 13286435328. Its totient is φ = 2725113600.

The previous prime is 6140330407. The next prime is 6140330459.

6140330416 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5467231 + ... + 5468353.

Almost surely, 26140330416 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 6140330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643217664).

6140330416 is an abundant number, since it is smaller than the sum of its proper divisors (7146104912).

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

6140330416 is a wasteful number, since it uses less digits than its factorization.

6140330416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 6140330416 is about 78360.2604385667. The cubic root of 6140330416 is about 1831.1780778736.

It can be divided in two parts, 61403 and 30416, that added together give a palindrome (91819).

The spelling of 6140330416 in words is "six billion, one hundred forty million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 661 752 1034 1123 1322 2068 2246 2644 4136 4492 5288 7271 8272 8984 10576 12353 14542 17968 24706 29084 31067 49412 52781 58168 62134 98824 105562 116336 124268 197648 211124 248536 341737 422248 497072 580591 683474 742303 844496 1161182 1366948 1484606 2322364 2733896 2969212 4644728 5467792 5938424 8165333 9289456 11876848 16330666 32661332 34888241 65322664 69776482 130645328 139552964 279105928 383770651 558211856 767541302 1535082604 3070165208 6140330416