Search a number
-
+
1240110426432 = 263149193224603
BaseRepresentation
bin10010000010111100010…
…101110110100101000000
311101112221102112220001210
4102002330111312211000
5130304221232121212
62345410542130120
7155411043462543
oct22027425664500
94345842486053
101240110426432
11438a23008149
12180412580940
138cc324c1747
144404363c85a
15223d123653c
hex120bc576940

1240110426432 has 112 divisors (see below), whose sum is σ = 3320276011200. Its totient is φ = 408466587648.

The previous prime is 1240110426367. The next prime is 1240110426439. The reversal of 1240110426432 is 2346240110421.

It is a self number, because there is not a number n which added to its sum of digits gives 1240110426432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240110426439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5409043 + ... + 5633645.

Almost surely, 21240110426432 is an apocalyptic number.

1240110426432 is a gapful number since it is divisible by the number (12) 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 1240110426432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660138005600).

1240110426432 is an abundant number, since it is smaller than the sum of its proper divisors (2080165584768).

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

1240110426432 is a wasteful number, since it uses less digits than its factorization.

1240110426432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224960 (or 224950 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1240110426432 its reverse (2346240110421), we get a palindrome (3586350536853).

The spelling of 1240110426432 in words is "one trillion, two hundred forty billion, one hundred ten million, four hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 193 298 386 447 579 596 772 894 1158 1192 1544 1788 2316 2384 3088 3576 4632 4768 6176 7152 9264 9536 12352 14304 18528 28608 28757 37056 57514 86271 115028 172542 224603 230056 345084 449206 460112 673809 690168 898412 920224 1347618 1380336 1796824 1840448 2695236 2760672 3593648 5390472 5521344 7187296 10780944 14374592 21561888 33465847 43123776 43348379 66931694 86696758 100397541 130045137 133863388 173393516 200795082 260090274 267726776 346787032 401590164 520180548 535453552 693574064 803180328 1040361096 1070907104 1387148128 1606360656 2080722192 2141814208 2774296256 3212721312 4161444384 6425442624 6458908471 8322888768 12917816942 19376725413 25835633884 38753450826 51671267768 77506901652 103342535536 155013803304 206685071072 310027606608 413370142144 620055213216 1240110426432