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244725527442 = 231119347562409
BaseRepresentation
bin1110001111101011000…
…1110011001110010010
3212101200100020212222210
43203322301303032102
513002144213334232
6304231513212550
723452345442514
oct3437261631622
9771610225883
10244725527442
11948731a8a20
123b51a101156
131a1013cc806
14bbb8103bb4
156574c475cc
hex38fac73392

244725527442 has 64 divisors (see below), whose sum is σ = 563669798400. Its totient is φ = 70053540480.

The previous prime is 244725527441. The next prime is 244725527447.

244725527442 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2447255274423 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244725527391 and 244725527400.

It is not an unprimeable number, because it can be changed into a prime (244725527441) 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, 153934 + ... + 716342.

It is an arithmetic number, because the mean of its divisors is an integer number (8807340600).

Almost surely, 2244725527442 is an apocalyptic number.

244725527442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244725527442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281834899200).

244725527442 is an abundant number, since it is smaller than the sum of its proper divisors (318944270958).

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

244725527442 is a wasteful number, since it uses less digits than its factorization.

244725527442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562791.

The product of its digits is 5017600, while the sum is 48.

The spelling of 244725527442 in words is "two hundred forty-four billion, seven hundred twenty-five million, five hundred twenty-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 347 418 627 694 1041 1254 2082 3817 6593 7634 11451 13186 19779 22902 39558 72523 145046 217569 435138 562409 1124818 1687227 3374454 6186499 10685771 12372998 18559497 21371542 32057313 37118994 64114626 117543481 195155923 235086962 352630443 390311846 585467769 705260886 1170935538 2146715153 3707962537 4293430306 6440145459 7415925074 11123887611 12880290918 22247775222 40787587907 81575175814 122362763721 244725527442