Search a number
-
+
124249425456 = 24313439453571
BaseRepresentation
bin111001110110111010…
…1111100011000110000
3102212201011012210100110
41303231311330120300
54013430323103311
6133025052221320
711656005455622
oct1635565743060
9385634183313
10124249425456
114876a61a392
12200b6a6a840
13b9416a9ac0
146029866c12
1533730998a6
hex1cedd7c630

124249425456 has 80 divisors (see below), whose sum is σ = 346456436480. Its totient is φ = 38143422720.

The previous prime is 124249425439. The next prime is 124249425457. The reversal of 124249425456 is 654524942421.

It is a super-2 number, since 2×1242494254562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (124249425457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47151 + ... + 500721.

It is an arithmetic number, because the mean of its divisors is an integer number (4330705456).

Almost surely, 2124249425456 is an apocalyptic number.

124249425456 is a gapful number since it is divisible by the number (16) 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 124249425456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173228218240).

124249425456 is an abundant number, since it is smaller than the sum of its proper divisors (222207011024).

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

124249425456 is a wasteful number, since it uses less digits than its factorization.

124249425456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454034 (or 454028 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The spelling of 124249425456 in words is "one hundred twenty-four billion, two hundred forty-nine million, four hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 439 624 878 1317 1756 2634 3512 5268 5707 7024 10536 11414 17121 21072 22828 34242 45656 68484 91312 136968 273936 453571 907142 1360713 1814284 2721426 3628568 5442852 5896423 7257136 10885704 11792846 17689269 21771408 23585692 35378538 47171384 70757076 94342768 141514152 199117669 283028304 398235338 597353007 796470676 1194706014 1592941352 2389412028 2588529697 3185882704 4778824056 5177059394 7765589091 9557648112 10354118788 15531178182 20708237576 31062356364 41416475152 62124712728 124249425456