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3023224444992 = 263591571699877
BaseRepresentation
bin101011111111100110001…
…110000001100001000000
3101201000110201011022200110
4223333212032001201000
5344013030424214432
610232503343551320
7431264214532203
oct53774616014100
911630421138613
103023224444992
11a66162424a74
12409b078bb540
1318c120254a4b
14a647952b93a
15539935dadcc
hex2bfe6381840

3023224444992 has 112 divisors (see below), whose sum is σ = 8186340467520. Its totient is φ = 984350595072.

The previous prime is 3023224444913. The next prime is 3023224444993. The reversal of 3023224444992 is 2994444223203.

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 (3023224444993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 928558 + ... + 2628434.

Almost surely, 23023224444992 is an apocalyptic number.

3023224444992 is a gapful number since it is divisible by the number (32) 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 3023224444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093170233760).

3023224444992 is an abundant number, since it is smaller than the sum of its proper divisors (5163116022528).

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

3023224444992 is a wasteful number, since it uses less digits than its factorization.

3023224444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700108 (or 1700098 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 3023224444992 in words is "three trillion, twenty-three billion, two hundred twenty-four million, four hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 157 177 192 236 314 354 471 472 628 708 942 944 1256 1416 1884 1888 2512 2832 3768 3776 5024 5664 7536 9263 10048 11328 15072 18526 27789 30144 37052 55578 74104 111156 148208 222312 296416 444624 592832 889248 1699877 1778496 3399754 5099631 6799508 10199262 13599016 20398524 27198032 40797048 54396064 81594096 100292743 108792128 163188192 200585486 266880689 300878229 326376384 401170972 533761378 601756458 800642067 802341944 1067522756 1203512916 1601284134 1604683888 2135045512 2407025832 3202568268 3209367776 4270091024 4814051664 6405136536 6418735552 8540182048 9628103328 12810273072 15745960651 17080364096 19256206656 25620546144 31491921302 47237881953 51241092288 62983842604 94475763906 125967685208 188951527812 251935370416 377903055624 503870740832 755806111248 1007741481664 1511612222496 3023224444992