Search a number
-
+
441234978048 = 283421278693
BaseRepresentation
bin1100110101110111010…
…01110111010100000000
31120011220102110021220000
412122323221313110000
524212122123244143
6534411152520000
743610133300624
oct6327351672400
91504812407800
10441234978048
11160143707757
1271620850000
13327ba510b37
14174da7a7184
15b726a29bd3
hex66bba77500

441234978048 has 90 divisors (see below), whose sum is σ = 1315682928714. Its totient is φ = 147078319104.

The previous prime is 441234978031. The next prime is 441234978089. The reversal of 441234978048 is 840879432144.

441234978048 is a `hidden beast` number, since 441 + 2 + 34 + 97 + 80 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 237176792064 + 204058185984 = 487008^2 + 451728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 441234977985 and 441234978003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10618611 + ... + 10660082.

Almost surely, 2441234978048 is an apocalyptic number.

441234978048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441234978048 is an abundant number, since it is smaller than the sum of its proper divisors (874447950666).

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

441234978048 is an equidigital number, since it uses as much as digits as its factorization.

441234978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21278721 (or 21278698 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 441234978048 in words is "four hundred forty-one billion, two hundred thirty-four million, nine hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 21278693 42557386 63836079 85114772 127672158 170229544 191508237 255344316 340459088 383016474 510688632 574524711 680918176 766032948 1021377264 1149049422 1361836352 1532065896 1723574133 2042754528 2298098844 2723672704 3064131792 3447148266 4085509056 4596197688 5447345408 6128263584 6894296532 8171018112 9192395376 12256527168 13788593064 16342036224 18384790752 24513054336 27577186128 36769581504 49026108672 55154372256 73539163008 110308744512 147078326016 220617489024 441234978048