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7000141374 = 23217671073191
BaseRepresentation
bin1101000010011110…
…11010111000111110
3200001212000000201100
412201033122320332
5103314014010444
63114341153530
7335320135302
oct64117327076
920055000640
107000141374
112a72440906
1214343bb8a6
138773553b5
144a5995d02
152ae845e69
hex1a13dae3e

7000141374 has 96 divisors (see below), whose sum is σ = 16456317696. Its totient is φ = 2142455040.

The previous prime is 7000141373. The next prime is 7000141381. The reversal of 7000141374 is 4731410007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7000141373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2192119 + ... + 2195309.

It is an arithmetic number, because the mean of its divisors is an integer number (171419976).

Almost surely, 27000141374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000141374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8228158848).

7000141374 is an abundant number, since it is smaller than the sum of its proper divisors (9456176322).

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

7000141374 is a wasteful number, since it uses less digits than its factorization.

7000141374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7000141374 is about 83666.8475203889. The cubic root of 7000141374 is about 1912.9440607206.

The spelling of 7000141374 in words is "seven billion, one hundred forty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 107 134 153 201 214 306 321 402 603 642 963 1139 1206 1819 1926 2278 3191 3417 3638 5457 6382 6834 7169 9573 10251 10914 14338 16371 19146 20502 21507 28719 32742 43014 54247 57438 64521 108494 121873 129042 162741 213797 243746 325482 341437 365619 427594 488223 641391 682874 731238 976446 1024311 1096857 1282782 1924173 2048622 2193714 3072933 3634549 3848346 5804429 6145866 7269098 10903647 11608858 17413287 21807294 22876279 32710941 34826574 45752558 52239861 65421882 68628837 104479722 137257674 205886511 388896743 411773022 777793486 1166690229 2333380458 3500070687 7000141374