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1045434405531 = 31931613965161
BaseRepresentation
bin11110011011010001011…
…11110001001010011011
310200221110010021100220110
433031220233301022123
5114112022201434111
62120133235255403
7135346560553515
oct17155057611233
93627403240813
101045434405531
1137340351627a
1214a741a4a563
13777791a6579
1438856674bb5
151c2da3b25a6
hexf368bf129b

1045434405531 has 32 divisors (see below), whose sum is σ = 1517080238080. Its totient is φ = 637932153600.

The previous prime is 1045434405461. The next prime is 1045434405541. The reversal of 1045434405531 is 1355044345401.

It is not a de Polignac number, because 1045434405531 - 29 = 1045434405019 is a prime.

It is a super-3 number, since 3×10454344055313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1045434405531.

It is not an unprimeable number, because it can be changed into a prime (1045434405541) 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 31 ways as a sum of consecutive naturals, for example, 600591 + ... + 1565751.

It is an arithmetic number, because the mean of its divisors is an integer number (47408757440).

Almost surely, 21045434405531 is an apocalyptic number.

1045434405531 is a deficient number, since it is larger than the sum of its proper divisors (471645832549).

1045434405531 is a wasteful number, since it uses less digits than its factorization.

1045434405531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965827.

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 1045434405531 in words is "one trillion, forty-five billion, four hundred thirty-four million, four hundred five thousand, five hundred thirty-one".

Divisors: 1 3 19 31 57 93 589 613 1767 1839 11647 19003 34941 57009 361057 965161 1083171 2895483 18338059 29919991 55014177 89759973 568479829 591643693 1705439487 1774931079 11241230167 18340954483 33723690501 55022863449 348478135177 1045434405531