Search a number
-
+
3000010000008 = 2337307349166667
BaseRepresentation
bin101011101001111110100…
…001111100011010001000
3101121210112212002022212210
4223221332201330122020
5343123010030000013
610214104025505120
7426513021153450
oct53517641743210
911553485068783
103000010000008
11a5732a48694a
124055093421a0
13189b90921778
14a52b637ad60
155308556bcc3
hex2ba7e87c688

3000010000008 has 128 divisors (see below), whose sum is σ = 8624068992000. Its totient is φ = 851900592384.

The previous prime is 3000009999991. The next prime is 3000010000027. The reversal of 3000010000008 is 8000000100003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3000009999948 and 3000010000002.

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, 17916691 + ... + 18083357.

It is an arithmetic number, because the mean of its divisors is an integer number (67375539000).

Almost surely, 23000010000008 is an apocalyptic number.

3000010000008 is the 1000002-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000010000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312034496000).

3000010000008 is an abundant number, since it is smaller than the sum of its proper divisors (5624058991992).

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

3000010000008 is a wasteful number, since it uses less digits than its factorization.

3000010000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167339 (or 167335 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The spelling of 3000010000008 in words is "three trillion, ten million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 349 614 698 921 1047 1228 1396 1842 2094 2149 2443 2456 2792 3684 4188 4298 4886 6447 7329 7368 8376 8596 9772 12894 14658 17192 19544 25788 29316 51576 58632 107143 166667 214286 321429 333334 428572 500001 642858 666668 750001 857144 1000002 1166669 1285716 1333336 1500002 2000004 2250003 2333338 2571432 3000004 3500007 4000008 4500006 4666676 6000008 7000014 9000012 9333352 14000028 18000024 28000056 51166769 58166783 102333538 116333566 153500307 174500349 204667076 232667132 307000614 349000698 358167383 407167481 409334152 465334264 614001228 698001396 716334766 814334962 1074502149 1221502443 1228002456 1396002792 1432669532 1628669924 2149004298 2443004886 2865339064 3257339848 4298008596 4886009772 8596017192 9772019544 17857202381 35714404762 53571607143 71428809524 107143214286 125000416667 142857619048 214286428572 250000833334 375001250001 428572857144 500001666668 750002500002 1000003333336 1500005000004 3000010000008