Search a number
-
+
3000126023442 = 234293791684951
BaseRepresentation
bin101011101010000101011…
…100100010011100010010
3101121210211221101221010000
4223222011130202130102
5343123224230222232
610214123332350430
7426515630303262
oct53520534423422
911553757357100
103000126023442
11a57389a21a89
12405540175416
13189bab9856a2
14a52c793d7a2
155309083927c
hex2ba85722712

3000126023442 has 80 divisors (see below), whose sum is σ = 6972668366400. Its totient is φ = 963009583200.

The previous prime is 3000126023347. The next prime is 3000126023533. The reversal of 3000126023442 is 2443206210003.

3000126023442 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 12 + 602 + 3 + 4 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 938067 + ... + 2623017.

It is an arithmetic number, because the mean of its divisors is an integer number (87158354580).

Almost surely, 23000126023442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000126023442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486334183200).

3000126023442 is an abundant number, since it is smaller than the sum of its proper divisors (3972542342958).

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

3000126023442 is a wasteful number, since it uses less digits than its factorization.

3000126023442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685373 (or 1685364 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3000126023442 in words is "three trillion, one hundred twenty-six million, twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 379 522 758 783 1137 1566 2274 2349 3411 4698 6822 10233 10991 20466 21982 30699 32973 61398 65946 98919 197838 296757 593514 890271 1684951 1780542 3369902 5054853 10109706 15164559 30329118 45493677 48863579 90987354 97727158 136481031 146590737 272962062 293181474 439772211 638596429 879544422 1277192858 1319316633 1915789287 2638633266 3831578574 3957949899 5747367861 7915899798 11494735722 17242103583 18519296441 34484207166 37038592882 51726310749 55557889323 103452621498 111115778646 166673667969 333347335938 500021003907 1000042007814 1500063011721 3000126023442