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1044054531540 = 2232545712692129
BaseRepresentation
bin11110011000101100111…
…11111101110111010100
310200210212221210111122100
433030112133331313110
5114101210430002130
62115344304002100
7135300434043336
oct17142637756724
93623787714570
101044054531540
11372865623549
1214a417900330
13775b9353697
14387652c1456
151c259195c60
hexf3167fddd4

1044054531540 has 72 divisors (see below), whose sum is σ = 3173895564840. Its totient is φ = 277805297664.

The previous prime is 1044054531473. The next prime is 1044054531617. The reversal of 1044054531540 is 451354504401.

1044054531540 is a `hidden beast` number, since 1 + 0 + 4 + 40 + 5 + 45 + 31 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77710482756 + 966344048784 = 278766^2 + 983028^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1044054531495 and 1044054531504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6263805 + ... + 6428324.

It is an arithmetic number, because the mean of its divisors is an integer number (44081882845).

Almost surely, 21044054531540 is an apocalyptic number.

1044054531540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044054531540 is an abundant number, since it is smaller than the sum of its proper divisors (2129841033300).

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

1044054531540 is a wasteful number, since it uses less digits than its factorization.

1044054531540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12692601 (or 12692596 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1044054531540 in words is "one trillion, forty-four billion, fifty-four million, five hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 457 914 1371 1828 2285 2742 4113 4570 5484 6855 8226 9140 13710 16452 20565 27420 41130 82260 12692129 25384258 38076387 50768516 63460645 76152774 114229161 126921290 152305548 190381935 228458322 253842580 380763870 456916644 571145805 761527740 1142291610 2284583220 5800302953 11600605906 17400908859 23201211812 29001514765 34801817718 52202726577 58003029530 69603635436 87004544295 104405453154 116006059060 174009088590 208810906308 261013632885 348018177180 522027265770 1044054531540