Search a number
-
+
250032130000 = 2454142917497
BaseRepresentation
bin1110100011011100010…
…0111000011111010000
3212220101011120020012021
43220313010320133100
513044031211130000
6310510240141224
724031013016142
oct3506704703720
9786334506167
10250032130000
1197046689a74
124055b307814
131a76892b523
14c15cbb6c92
156785a6411a
hex3a371387d0

250032130000 has 100 divisors (see below), whose sum is σ = 605811031540. Its totient is φ = 99937152000.

The previous prime is 250032129973. The next prime is 250032130013. The reversal of 250032130000 is 31230052.

250032130000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 246099335056 + 3932794944 = 496084^2 + 62712^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 14281252 + ... + 14298748.

Almost surely, 2250032130000 is an apocalyptic number.

250032130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 250032130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302905515770).

250032130000 is an abundant number, since it is smaller than the sum of its proper divisors (355778901540).

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

250032130000 is a wasteful number, since it uses less digits than its factorization.

250032130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18954 (or 18933 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 250032130000 its reverse (31230052), we get a palindrome (250063360052).

The spelling of 250032130000 in words is "two hundred fifty billion, thirty-two million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 1429 2000 2500 2858 5000 5716 7145 10000 11432 14290 17497 22864 28580 34994 35725 57160 69988 71450 87485 114320 139976 142900 174970 178625 279952 285800 349940 357250 437425 571600 699880 714500 874850 893125 1399760 1429000 1749700 1786250 2187125 2858000 3499400 3572500 4374250 6998800 7145000 8748500 10935625 14290000 17497000 21871250 25003213 34994000 43742500 50006426 87485000 100012852 125016065 174970000 200025704 250032130 400051408 500064260 625080325 1000128520 1250160650 2000257040 2500321300 3125401625 5000642600 6250803250 10001285200 12501606500 15627008125 25003213000 31254016250 50006426000 62508032500 125016065000 250032130000