Search a number
-
+
7173150013440 = 21133531183423
BaseRepresentation
bin110100001100010000100…
…0011101111100000000000
3221101202011011021000121000
41220120201003233200000
51420011102400412230
623131144415132000
71340146226045055
oct150304103574000
927352134230530
107173150013440
1123161301a7204
1297a255514000
1340056b06bc98
141ab27a3a502c
15c68cb871b60
hex686210ef800

7173150013440 has 384 divisors, whose sum is σ = 25580601446400. Its totient is φ = 1906666536960.

The previous prime is 7173150013391. The next prime is 7173150013441. The reversal of 7173150013440 is 443100513717.

It is a happy number.

7173150013440 is a `hidden beast` number, since 7 + 17 + 3 + 1 + 500 + 134 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×71731500134402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7173150013395 and 7173150013404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7173150013441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85943569 + ... + 86026991.

It is an arithmetic number, because the mean of its divisors is an integer number (66616149600).

Almost surely, 27173150013440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7173150013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12790300723200).

7173150013440 is an abundant number, since it is smaller than the sum of its proper divisors (18407451432960).

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

7173150013440 is a wasteful number, since it uses less digits than its factorization.

7173150013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83770 (or 83744 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 7173150013440 in words is "seven trillion, one hundred seventy-three billion, one hundred fifty million, thirteen thousand, four hundred forty".