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3002050752340 = 22529371297107857
BaseRepresentation
bin101011101011111000001…
…010110010111101010100
3101121222211002010021210111
4223223320022302331110
5343141144443033330
610215042330132404
7426614421235633
oct53537012627524
911558732107714
103002050752340
11a58187428322
12405998881104
1318a127666c23
14a542b40351a
15531547ce32a
hex2baf82b2f54

3002050752340 has 96 divisors (see below), whose sum is σ = 6703184869920. Its totient is φ = 1127197016064.

The previous prime is 3002050752301. The next prime is 3002050752341. The reversal of 3002050752340 is 432570502003.

It can be written as a sum of positive squares in 16 ways, for example, as 4505631376 + 2997545120964 = 67124^2 + 1731342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3002050752341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27779692 + ... + 27887548.

It is an arithmetic number, because the mean of its divisors is an integer number (69824842395).

Almost surely, 23002050752340 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 3002050752340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351592434960).

3002050752340 is an abundant number, since it is smaller than the sum of its proper divisors (3701134117580).

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

3002050752340 is a wasteful number, since it uses less digits than its factorization.

3002050752340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109229 (or 109227 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 31.

The spelling of 3002050752340 in words is "three trillion, two billion, fifty million, seven hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 1297 2146 2594 4292 5188 5365 6485 10730 12970 21460 25940 37613 47989 75226 95978 107857 150452 188065 191956 215714 239945 376130 431428 479890 539285 752260 959780 1078570 1391681 2157140 2783362 3127853 3990709 5566724 6255706 6958405 7981418 12511412 13916810 15639265 15962836 19953545 27833620 31278530 39907090 62557060 79814180 115730561 139890529 231461122 279781058 462922244 559562116 578652805 699452645 1157305610 1398905290 2314611220 2797810580 4056825341 5175949573 8113650682 10351899146 16227301364 20284126705 20703798292 25879747865 40568253410 51759495730 81136506820 103518991460 150102537617 300205075234 600410150468 750512688085 1501025376170 3002050752340