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3040120304312 = 23713171911286107
BaseRepresentation
bin101100001111010101010…
…010100111001010111000
3101202122002012200220102212
4230033111102213022320
5344302131244214222
610244340104514252
7432433005134240
oct54172522471270
911678065626385
103040120304312
11a72342724173
1241124217b988
131908b37b4a40
14a71dd45cb20
1554131a916e2
hex2c3d54a72b8

3040120304312 has 128 divisors (see below), whose sum is σ = 7467245936640. Its totient is φ = 1126011525120.

The previous prime is 3040120304293. The next prime is 3040120304381. The reversal of 3040120304312 is 2134030210403.

3040120304312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720763 + ... + 3006869.

It is an arithmetic number, because the mean of its divisors is an integer number (58337858880).

Almost surely, 23040120304312 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 3040120304312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733622968320).

3040120304312 is an abundant number, since it is smaller than the sum of its proper divisors (4427125632328).

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

3040120304312 is a wasteful number, since it uses less digits than its factorization.

3040120304312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286341 (or 1286337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 3040120304312 its reverse (2134030210403), we get a palindrome (5174150514715).

The spelling of 3040120304312 in words is "three trillion, forty billion, one hundred twenty million, three hundred four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 191 221 238 364 382 442 476 728 764 884 952 1337 1528 1547 1768 2483 2674 3094 3247 4966 5348 6188 6494 9932 10696 12376 12988 17381 19864 22729 25976 34762 42211 45458 69524 84422 90916 139048 168844 181832 295477 337688 590954 1181908 1286107 2363816 2572214 5144428 9002749 10288856 16719391 18005498 21863819 33438782 36010996 43727638 66877564 72021992 87455276 117035737 133755128 153046733 174910552 234071474 245646437 284229647 306093466 468142948 491292874 568459294 612186932 936285896 982585748 1136918588 1224373864 1719525059 1965171496 1989607529 2273837176 3193403681 3439050118 3979215058 4175989429 6386807362 6878100236 7958430116 8351978858 12773614724 13756200472 15916860232 16703957716 22353825767 25547229448 29231926003 33407915432 44707651534 54287862577 58463852006 89415303068 108575725154 116927704012 178830606136 217151450308 233855408024 380015038039 434302900616 760030076078 1520060152156 3040120304312