Search a number
-
+
3042044331228 = 2233721216147269
BaseRepresentation
bin101100010001000111111…
…110001100010011011100
3101202211001022002121012000
4230101013332030103130
5344320101322044403
610245255035242300
7432531460114200
oct54210776142334
911684038077160
103042044331228
11a7313a7a0061
1241169a5a9390
13190b2c2ab8c6
14a7342bbcb00
15541e59487a3
hex2c447f8c4dc

3042044331228 has 144 divisors (see below), whose sum is σ = 9175367930400. Its totient is φ = 869065666560.

The previous prime is 3042044331203. The next prime is 3042044331229. The reversal of 3042044331228 is 8221334402403.

3042044331228 is a `hidden beast` number, since 3 + 0 + 4 + 204 + 433 + 12 + 2 + 8 = 666.

3042044331228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3042044331192 and 3042044331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042044331229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64332378 + ... + 64379646.

It is an arithmetic number, because the mean of its divisors is an integer number (63717832850).

Almost surely, 23042044331228 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 3042044331228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587683965200).

3042044331228 is an abundant number, since it is smaller than the sum of its proper divisors (6133323599172).

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

3042044331228 is a wasteful number, since it uses less digits than its factorization.

3042044331228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59457 (or 59442 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 3042044331228 in words is "three trillion, forty-two billion, forty-four million, three hundred thirty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 12161 24322 36483 47269 48644 72966 85127 94538 109449 141807 145932 170254 189076 218898 255381 283614 328347 330883 340508 425421 437796 510762 567228 595889 656694 661766 766143 850842 992649 1021524 1191778 1276263 1313388 1323532 1532286 1701684 1787667 1985298 2298429 2316181 2383556 2552526 2977947 3064572 3575334 3970596 4596858 4632362 5105052 5363001 5955894 6948543 7150668 8933841 9193716 9264724 10726002 11911788 13897086 16089003 17867682 20845629 21452004 27794172 32178006 35735364 41691258 62536887 64356012 83382516 125073774 250147548 574838309 1149676618 1724514927 2299353236 3449029854 4023868163 5173544781 6898059708 8047736326 10347089562 12071604489 15520634343 16095472652 20694179124 24143208978 28167077141 31041268686 36214813467 48286417956 56334154282 62082537372 72429626934 84501231423 108644440401 112668308564 144859253868 169002462846 217288880802 253503694269 338004925692 434577761604 507007388538 760511082807 1014014777076 1521022165614 3042044331228