Search a number
-
+
10124235225440 = 25579039495737
BaseRepresentation
bin1001001101010011101101…
…1100011011100101100000
31022211212102100201121102022
42103110323130123211200
52311333413204203230
633311002013041012
72063310662341610
oct223247334334540
938755370647368
1010124235225440
113253733934756
121176189a86168
13585932902b3b
14270030b3aa40
1512854bb351e5
hex9353b71b960

10124235225440 has 48 divisors (see below), whose sum is σ = 27335435111712. Its totient is φ = 3471166362624.

The previous prime is 10124235225439. The next prime is 10124235225443. The reversal of 10124235225440 is 4452253242101.

10124235225440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10124235225440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124235225443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4519746749 + ... + 4519748988.

It is an arithmetic number, because the mean of its divisors is an integer number (569488231494).

Almost surely, 210124235225440 is an apocalyptic number.

10124235225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124235225440 is an abundant number, since it is smaller than the sum of its proper divisors (17211199886272).

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

10124235225440 is an equidigital number, since it uses as much as digits as its factorization.

10124235225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9039495759 (or 9039495751 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10124235225440 its reverse (4452253242101), we get a palindrome (14576488467541).

The spelling of 10124235225440 in words is "ten trillion, one hundred twenty-four billion, two hundred thirty-five million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 9039495737 18078991474 36157982948 45197478685 63276470159 72315965896 90394957370 126552940318 144631931792 180789914740 253105880636 289263863584 316382350795 361579829480 506211761272 632764701590 723159658960 1012423522544 1265529403180 1446319317920 2024847045088 2531058806360 5062117612720 10124235225440