Search a number
-
+
140125350300240 = 243517476411139989
BaseRepresentation
bin11111110111000101111001…
…101110101000101001010000
3200101010212000120221120020210
4133313011321232220221100
5121331303204134101430
61214004410335004120
741341502544203334
oct3767057156505120
9611125016846223
10140125350300240
11407149112030a8
1213871294369640
1360259c11b63a6
14268616303d7c4
15112eeae0412b0
hex7f7179ba8a50

140125350300240 has 320 divisors, whose sum is σ = 470460047201280. Its totient is φ = 34366716641280.

The previous prime is 140125350300209. The next prime is 140125350300241. The reversal of 140125350300240 is 42003053521041.

It is a super-2 number, since 2×1401253503002402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140125350300198 and 140125350300207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140125350300241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122348166 + ... + 123488154.

It is an arithmetic number, because the mean of its divisors is an integer number (1470187647504).

Almost surely, 2140125350300240 is an apocalyptic number.

140125350300240 is a gapful number since it is divisible by the number (10) 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 140125350300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235230023600640).

140125350300240 is an abundant number, since it is smaller than the sum of its proper divisors (330334696901040).

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

140125350300240 is a wasteful number, since it uses less digits than its factorization.

140125350300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140710 (or 1140704 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 140125350300240 in words is "one hundred forty trillion, one hundred twenty-five billion, three hundred fifty million, three hundred thousand, two hundred forty".