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124241334272 = 212118930983
BaseRepresentation
bin111001110110101011…
…1000101000000000000
3102212200120222201022222
41303231113011000000
54013421240144042
6133024202550212
711655546626306
oct1635527050000
9385616881288
10124241334272
1148765aa3360
12200b4208368
13b93cb06013
14602875c276
1533724ec2d2
hex1ced5c5000

124241334272 has 104 divisors (see below), whose sum is σ = 274093139520. Its totient is φ = 55836999680.

The previous prime is 124241334271. The next prime is 124241334317. The reversal of 124241334272 is 272433142421.

It is a happy number.

It is a super-3 number, since 3×1242413342723 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124241334271) 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, 3994493 + ... + 4025475.

Almost surely, 2124241334272 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 124241334272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137046569760).

124241334272 is an abundant number, since it is smaller than the sum of its proper divisors (149851805248).

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

124241334272 is an equidigital number, since it uses as much as digits as its factorization.

124241334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31107 (or 31085 counting only the distinct ones).

The product of its digits is 64512, while the sum is 35.

Adding to 124241334272 its reverse (272433142421), we get a palindrome (396674476693).

The spelling of 124241334272 in words is "one hundred twenty-four billion, two hundred forty-one million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 256 352 356 512 704 712 979 1024 1408 1424 1958 2048 2816 2848 3916 4096 5632 5696 7832 11264 11392 15664 22528 22784 30983 31328 45056 45568 61966 62656 91136 123932 125312 182272 247864 250624 340813 364544 495728 501248 681626 991456 1002496 1363252 1982912 2004992 2726504 2757487 3965824 4009984 5453008 5514974 7931648 10906016 11029948 15863296 21812032 22059896 30332357 31726592 43624064 44119792 60664714 63453184 87248128 88239584 121329428 126906368 174496256 176479168 242658856 348992512 352958336 485317712 697985024 705916672 970635424 1395970048 1411833344 1941270848 2823666688 3882541696 5647333376 7765083392 11294666752 15530166784 31060333568 62120667136 124241334272