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3144196680 = 2335139251751
BaseRepresentation
bin1011101101101000…
…1010001001001000
322010010100201222220
42323122022021020
522414403243210
61235555014040
7140626142112
oct27332121110
98103321886
103144196680
1113738a9559
12738b9a320
133b1530b11
1421b8203b2
15136078c70
hexbb68a248

3144196680 has 128 divisors (see below), whose sum is σ = 9551001600. Its totient is φ = 828000000.

The previous prime is 3144196667. The next prime is 3144196687. The reversal of 3144196680 is 866914413.

It is not an unprimeable number, because it can be changed into a prime (3144196687) 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, 4186305 + ... + 4187055.

It is an arithmetic number, because the mean of its divisors is an integer number (74617200).

Almost surely, 23144196680 is an apocalyptic number.

3144196680 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 3144196680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775500800).

3144196680 is an abundant number, since it is smaller than the sum of its proper divisors (6406804920).

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

3144196680 is a wasteful number, since it uses less digits than its factorization.

3144196680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3144196680 is about 56073.1368838948. The cubic root of 3144196680 is about 1464.9964363699.

The spelling of 3144196680 in words is "three billion, one hundred forty-four million, one hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 251 278 417 502 556 695 751 753 834 1004 1112 1255 1390 1502 1506 1668 2008 2085 2253 2510 2780 3004 3012 3336 3755 3765 4170 4506 5020 5560 6008 6024 7510 7530 8340 9012 10040 11265 15020 15060 16680 18024 22530 30040 30120 34889 45060 69778 90120 104389 104667 139556 174445 188501 208778 209334 279112 313167 348890 377002 417556 418668 521945 523335 565503 626334 697780 754004 835112 837336 942505 1043890 1046670 1131006 1252668 1395560 1508008 1565835 1885010 2087780 2093340 2262012 2505336 2827515 3131670 3770020 4175560 4186680 4524024 5655030 6263340 7540040 11310060 12526680 22620120 26201639 52403278 78604917 104806556 131008195 157209834 209613112 262016390 314419668 393024585 524032780 628839336 786049170 1048065560 1572098340 3144196680