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1004232315042 = 233113217525529
BaseRepresentation
bin11101001110100001110…
…10010001000010100010
310120000002200021022021000
432213100322101002202
5112423131433040132
62045200555412430
7132360545556645
oct16472072210242
93500080238230
101004232315042
1135798aa63920
12142763454116
137391107a178
1436868591a5c
151b1c80ca87c
hexe9d0e910a2

1004232315042 has 64 divisors (see below), whose sum is σ = 2435263977600. Its totient is φ = 304217648640.

The previous prime is 1004232315019. The next prime is 1004232315061. The reversal of 1004232315042 is 2405132324001.

1004232315042 is a `hidden beast` number, since 1 + 0 + 0 + 423 + 231 + 5 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×10042323150422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1004232314997 and 1004232315015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1648134 + ... + 2173662.

It is an arithmetic number, because the mean of its divisors is an integer number (38050999650).

Almost surely, 21004232315042 is an apocalyptic number.

1004232315042 is an abundant number, since it is smaller than the sum of its proper divisors (1431031662558).

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

1004232315042 is a wasteful number, since it uses less digits than its factorization.

1004232315042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528768 (or 528762 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1004232315042 its reverse (2405132324001), we get a palindrome (3409364639043).

The spelling of 1004232315042 in words is "one trillion, four billion, two hundred thirty-two million, three hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 3217 6434 9651 19302 28953 35387 57906 70774 86859 106161 173718 212322 318483 525529 636966 955449 1051058 1576587 1910898 3153174 4729761 5780819 9459522 11561638 14189283 17342457 28378566 34684914 52027371 104054742 156082113 312164226 1690626793 3381253586 5071880379 10143760758 15215641137 18596894723 30431282274 37193789446 45646923411 55790684169 91293846822 111581368338 167372052507 334744105014 502116157521 1004232315042