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3145037016 = 2331119718831
BaseRepresentation
bin1011101101110101…
…0111010011011000
322010011221102201110
42323131113103120
522420112141031
61240025020320
7140636242062
oct27335272330
98104842643
103145037016
111374322950
127393246a0
133b1766464
1421b99c732
15136192c46
hexbb7574d8

3145037016 has 128 divisors (see below), whose sum is σ = 9157017600. Its totient is φ = 890064000.

The previous prime is 3145037011. The next prime is 3145037041. The reversal of 3145037016 is 6107305413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145037011) by changing a digit.

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, 351721 + ... + 360551.

It is an arithmetic number, because the mean of its divisors is an integer number (71539200).

Almost surely, 23145037016 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 3145037016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578508800).

3145037016 is an abundant number, since it is smaller than the sum of its proper divisors (6011980584).

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

3145037016 is a wasteful number, since it uses less digits than its factorization.

3145037016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3145037016 is about 56080.6295970364. The cubic root of 3145037016 is about 1465.1269391884.

The spelling of 3145037016 in words is "three billion, one hundred forty-five million, thirty-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 71 76 88 114 132 142 152 209 213 228 264 284 418 426 456 568 627 781 836 852 1254 1349 1562 1672 1704 2343 2508 2698 3124 4047 4686 5016 5396 6248 8094 8831 9372 10792 14839 16188 17662 18744 26493 29678 32376 35324 44517 52986 59356 70648 89034 97141 105972 118712 167789 178068 194282 211944 291423 335578 356136 388564 503367 582846 627001 671156 777128 1006734 1165692 1254002 1342312 1845679 1881003 2013468 2331384 2508004 3691358 3762006 4026936 5016008 5537037 6897011 7382716 7524012 11074074 11913019 13794022 14765432 15048024 20691033 22148148 23826038 27588044 35739057 41382066 44296296 47652076 55176088 71478114 82764132 95304152 131043209 142956228 165528264 262086418 285912456 393129627 524172836 786259254 1048345672 1572518508 3145037016