Search a number
-
+
10040344415352 = 23331071493079497
BaseRepresentation
bin1001001000011011001100…
…1010011000110001111000
31022112211212212100220101000
42102012303022120301320
52304000111132242402
633204245345525000
72054251044252426
oct222066312306170
938484785326330
1010040344415352
1132210a4742449
121161a77043760
1357aa5368a044
14269d53352116
1512628bcadc1c
hex921b3298c78

10040344415352 has 256 divisors, whose sum is σ = 28434732480000. Its totient is φ = 3282178599936.

The previous prime is 10040344415287. The next prime is 10040344415371. The reversal of 10040344415352 is 25351444304001.

10040344415352 is a `hidden beast` number, since 1 + 0 + 0 + 40 + 3 + 44 + 41 + 535 + 2 = 666.

It is a super-3 number, since 3×100403444153523 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1057207468 + ... + 1057216964.

It is an arithmetic number, because the mean of its divisors is an integer number (111073173750).

Almost surely, 210040344415352 is an apocalyptic number.

10040344415352 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 10040344415352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14217366240000).

10040344415352 is an abundant number, since it is smaller than the sum of its proper divisors (18394388064648).

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

10040344415352 is a wasteful number, since it uses less digits than its factorization.

10040344415352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10040344415352 its reverse (25351444304001), we get a palindrome (35391788719353).

The spelling of 10040344415352 in words is "ten trillion, forty billion, three hundred forty-four million, four hundred fifteen thousand, three hundred fifty-two".