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540403041040 = 245163257916069
BaseRepresentation
bin1111101110100101000…
…10000000001100010000
31220122212121122212002221
413313102202000030100
532323221134303130
61052131400350424
754020456026042
oct7672242001420
91818777585087
10540403041040
11199202479205
1288897a75414
133bc62867b55
141c227147a92
15e0ccbce87a
hex7dd2880310

540403041040 has 80 divisors (see below), whose sum is σ = 1264714142400. Its totient is φ = 214738407936.

The previous prime is 540403041019. The next prime is 540403041041. The reversal of 540403041040 is 40140304045.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 540403040996 and 540403041014.

It is not an unprimeable number, because it can be changed into a prime (540403041041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33622126 + ... + 33638194.

It is an arithmetic number, because the mean of its divisors is an integer number (15808926780).

Almost surely, 2540403041040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540403041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632357071200).

540403041040 is an abundant number, since it is smaller than the sum of its proper divisors (724311101360).

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

540403041040 is a wasteful number, since it uses less digits than its factorization.

540403041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18824 (or 18818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 540403041040 its reverse (40140304045), we get a palindrome (580543345085).

The spelling of 540403041040 in words is "five hundred forty billion, four hundred three million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2579 2608 3260 5158 6520 10316 12895 13040 16069 20632 25790 32138 41264 51580 64276 80345 103160 128552 160690 206320 257104 321380 420377 642760 840754 1285520 1681508 2101885 2619247 3363016 4203770 5238494 6726032 8407540 10476988 13096235 16815080 20953976 26192470 33630160 41441951 41907952 52384940 82883902 104769880 165767804 207209755 209539760 331535608 414419510 663071216 828839020 1657678040 3315356080 6755038013 13510076026 27020152052 33775190065 54040304104 67550380130 108080608208 135100760260 270201520520 540403041040