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3022040224032 = 253971361238451
BaseRepresentation
bin101011111110011111101…
…000100101000100100000
3101200220102011211122220220
4223332133220211010200
5344003114244132112
610232150042003040
7431222655033024
oct53763750450440
911626364748826
103022040224032
11a65704a16265
124098371a6480
1318bc91ac669b
14a63a6148384
155392466a98c
hex2bf9fa25120

3022040224032 has 96 divisors (see below), whose sum is σ = 8020560026304. Its totient is φ = 996225024000.

The previous prime is 3022040224019. The next prime is 3022040224033. The reversal of 3022040224032 is 2304220402203.

It is a happy number.

3022040224032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3022040223993 and 3022040224011.

It is not an unprimeable number, because it can be changed into a prime (3022040224033) 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, 12554407 + ... + 12792857.

It is an arithmetic number, because the mean of its divisors is an integer number (83547500274).

Almost surely, 23022040224032 is an apocalyptic number.

3022040224032 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 3022040224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010280013152).

3022040224032 is an abundant number, since it is smaller than the sum of its proper divisors (4998519802272).

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

3022040224032 is a wasteful number, since it uses less digits than its factorization.

3022040224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239922 (or 239914 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3022040224032 its reverse (2304220402203), we get a palindrome (5326260626235).

The spelling of 3022040224032 in words is "three trillion, twenty-two billion, forty million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1361 1552 2328 2722 3104 4083 4656 5444 8166 9312 10888 16332 21776 32664 43552 65328 130656 132017 238451 264034 396051 476902 528068 715353 792102 953804 1056136 1430706 1584204 1907608 2112272 2861412 3168408 3815216 4224544 5722824 6336816 7630432 11445648 12673632 22891296 23129747 46259494 69389241 92518988 138778482 185037976 277556964 324531811 370075952 555113928 649063622 740151904 973595433 1110227856 1298127244 1947190866 2220455712 2596254488 3894381732 5192508976 7788763464 10385017952 15577526928 31155053856 31479585667 62959171334 94438757001 125918342668 188877514002 251836685336 377755028004 503673370672 755510056008 1007346741344 1511020112016 3022040224032