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3146014680 = 23351910912659
BaseRepresentation
bin1011101110000100…
…0101111111011000
322010020210002211020
42323201011333120
522420334432210
61240102002440
7140650453314
oct27341057730
98106702736
103146014680
111374930436
12739716420
133b1a19463
1421bb74b44
151362d7770
hexbb845fd8

3146014680 has 128 divisors (see below), whose sum is σ = 10026720000. Its totient is φ = 787428864.

The previous prime is 3146014667. The next prime is 3146014687. The reversal of 3146014680 is 864106413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3146014687) 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, 242191 + ... + 254849.

It is an arithmetic number, because the mean of its divisors is an integer number (78333750).

Almost surely, 23146014680 is an apocalyptic number.

3146014680 is a gapful number since it is divisible by the number (30) 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 3146014680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013360000).

3146014680 is an abundant number, since it is smaller than the sum of its proper divisors (6880705320).

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

3146014680 is a wasteful number, since it uses less digits than its factorization.

3146014680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12801 (or 12797 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3146014680 is about 56089.3455123163. The cubic root of 3146014680 is about 1465.2787395707.

The spelling of 3146014680 in words is "three billion, one hundred forty-six million, fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 109 114 120 152 190 218 228 285 327 380 436 456 545 570 654 760 872 1090 1140 1308 1635 2071 2180 2280 2616 3270 4142 4360 6213 6540 8284 10355 12426 12659 13080 16568 20710 24852 25318 31065 37977 41420 49704 50636 62130 63295 75954 82840 101272 124260 126590 151908 189885 240521 248520 253180 303816 379770 481042 506360 721563 759540 962084 1202605 1379831 1443126 1519080 1924168 2405210 2759662 2886252 3607815 4139493 4810420 5519324 5772504 6899155 7215630 8278986 9620840 11038648 13798310 14431260 16557972 20697465 26216789 27596620 28862520 33115944 41394930 52433578 55193240 78650367 82789860 104867156 131083945 157300734 165579720 209734312 262167890 314601468 393251835 524335780 629202936 786503670 1048671560 1573007340 3146014680