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423313002144 = 25321786460989
BaseRepresentation
bin1100010100011110110…
…10111100111010100000
31111110122102002120210200
412022033122330322200
523413421112032034
6522244534425200
742404043102204
oct6121732747240
91443572076720
10423313002144
11153587176a1a
126a05a802200
1330bc24cb476
14166ba48ab04
15b028434a99
hex628f6bcea0

423313002144 has 72 divisors (see below), whose sum is σ = 1274607914580. Its totient is φ = 132804077568.

The previous prime is 423313002109. The next prime is 423313002169. The reversal of 423313002144 is 441200313324.

423313002144 is a `hidden beast` number, since 4 + 2 + 331 + 300 + 21 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380220224400 + 43092777744 = 616620^2 + 207588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4233130021442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43225599 + ... + 43235390.

Almost surely, 2423313002144 is an apocalyptic number.

It is an amenable number.

423313002144 is an abundant number, since it is smaller than the sum of its proper divisors (851294912436).

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

423313002144 is a wasteful number, since it uses less digits than its factorization.

423313002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86461022 (or 86461011 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423313002144 its reverse (441200313324), we get a palindrome (864513315468).

The spelling of 423313002144 in words is "four hundred twenty-three billion, three hundred thirteen million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 86460989 172921978 259382967 345843956 518765934 691687912 778148901 1037531868 1383375824 1469836813 1556297802 2075063736 2766751648 2939673626 3112595604 4150127472 4409510439 5879347252 6225191208 8300254944 8819020878 11758694504 12450382416 13228531317 17638041756 23517389008 24900764832 26457062634 35276083512 47034778016 52914125268 70552167024 105828250536 141104334048 211656501072 423313002144