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1004144405022 = 232116477838387
BaseRepresentation
bin11101001110010111010…
…10111010101000011110
310112222212112212000101100
432213023222322220132
5112422441431430042
62045144135253530
7132355430420343
oct16471352725036
93488775760340
101004144405022
1135794537a810
12142739b1a2a6
13738c8aaa5c5
143685aa2a7ca
151b1c051324c
hexe9cbabaa1e

1004144405022 has 48 divisors (see below), whose sum is σ = 2377100898432. Its totient is φ = 303815841360.

The previous prime is 1004144404981. The next prime is 1004144405027. The reversal of 1004144405022 is 2205044414001.

1004144405022 is a `hidden beast` number, since 10 + 0 + 4 + 144 + 4 + 0 + 502 + 2 = 666.

It is a super-2 number, since 2×10041444050222 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004144405027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3791088 + ... + 4047299.

It is an arithmetic number, because the mean of its divisors is an integer number (49522935384).

Almost surely, 21004144405022 is an apocalyptic number.

1004144405022 is an abundant number, since it is smaller than the sum of its proper divisors (1372956493410).

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

1004144405022 is a wasteful number, since it uses less digits than its factorization.

1004144405022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839053 (or 7839050 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1004144405022 its reverse (2205044414001), we get a palindrome (3209188819023).

The spelling of 1004144405022 in words is "one trillion, four billion, one hundred forty-four million, four hundred five thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 647 1294 1941 3882 5823 7117 11646 14234 21351 42702 64053 128106 7838387 15676774 23515161 47030322 70545483 86222257 141090966 172444514 258666771 517333542 776000313 1552000626 5071436389 10142872778 15214309167 30428618334 45642927501 55785800279 91285855002 111571600558 167357400837 334714801674 502072202511 1004144405022