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3130441314 = 23711133714087
BaseRepresentation
bin1011101010010110…
…1011111001100010
322002011110220011220
42322211223321202
522402343110224
61234344115510
7140401212030
oct27245537142
98064426156
103130441314
111367063990
12734465b96
133ab725b50
14219a7d550
15134c5d279
hexba96be62

3130441314 has 128 divisors (see below), whose sum is σ = 8634028032. Its totient is φ = 730218240.

The previous prime is 3130441297. The next prime is 3130441361. The reversal of 3130441314 is 4131440313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 215179 + ... + 229265.

It is an arithmetic number, because the mean of its divisors is an integer number (67453344).

Almost surely, 23130441314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130441314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317014016).

3130441314 is an abundant number, since it is smaller than the sum of its proper divisors (5503586718).

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

3130441314 is a wasteful number, since it uses less digits than its factorization.

3130441314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14160.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3130441314 is about 55950.3468621956. The cubic root of 3130441314 is about 1462.8569370006.

Adding to 3130441314 its reverse (4131440313), we get a palindrome (7261881627).

It can be divided in two parts, 3130 and 441314, that added together give a palindrome (444444).

The spelling of 3130441314 in words is "three billion, one hundred thirty million, four hundred forty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 14087 15873 17094 20202 28174 31746 37037 42261 74074 84522 98609 111111 154957 183131 197218 222222 295827 309914 366262 464871 521219 549393 591654 929742 1042438 1084699 1098786 1281917 1563657 2014441 2169398 2563834 3127314 3254097 3648533 3845751 4028882 5733409 6043323 6508194 6775847 7297066 7691502 10945599 11466818 12086646 13551694 14101087 17200227 20327541 21891198 28202174 34400454 40133863 40655082 42303261 47430929 74534317 80267726 84606522 94861858 120401589 142292787 149068634 223602951 240803178 284585574 447205902 521740219 1043480438 1565220657 3130441314