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3014760012 = 2231124189569
BaseRepresentation
bin1011001110110001…
…1001011001001100
321210002210200021020
42303230121121030
522133234310022
61215052434140
7134465015535
oct26354313114
97702720236
103014760012
111307831900
12701778950
13390781884
1420856968c
15129a0c35c
hexb3b1964c

3014760012 has 144 divisors (see below), whose sum is σ = 8023730400. Its totient is φ = 879718400.

The previous prime is 3014759981. The next prime is 3014760031. The reversal of 3014760012 is 2100674103.

3014760012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5298064 + ... + 5298632.

It is an arithmetic number, because the mean of its divisors is an integer number (55720350).

Almost surely, 23014760012 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 3014760012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011865200).

3014760012 is an abundant number, since it is smaller than the sum of its proper divisors (5008970388).

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

3014760012 is a wasteful number, since it uses less digits than its factorization.

3014760012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3014760012 is about 54906.8302854936. The cubic root of 3014760012 is about 1444.6109930131.

The spelling of 3014760012 in words is "three billion, fourteen million, seven hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 89 121 123 132 164 178 242 246 267 356 363 451 484 492 534 569 726 902 979 1068 1138 1353 1452 1707 1804 1958 2276 2706 2937 3414 3649 3916 4961 5412 5874 6259 6828 7298 9922 10769 10947 11748 12518 14596 14883 18777 19844 21538 21894 23329 25036 29766 32307 37554 40139 43076 43788 46658 50641 59532 64614 68849 69987 75108 80278 93316 101282 120417 129228 137698 139974 151923 160556 202564 206547 240834 256619 275396 279948 303846 413094 441529 481668 513238 557051 607692 769857 826188 883058 1026476 1114102 1324587 1539714 1671153 1766116 2076281 2228204 2649174 2822809 3079428 3342306 4152562 5298348 5645618 6127561 6228843 6684612 8305124 8468427 11291236 12255122 12457686 16936854 18382683 22839091 24510244 24915372 33873708 36765366 45678182 68517273 73530732 91356364 137034546 251230001 274069092 502460002 753690003 1004920004 1507380006 3014760012