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1042756742040 = 233513668433809
BaseRepresentation
bin11110010110010010010…
…01010010101110011000
310200200112111202222010120
433023021021102232120
5114041031211221130
62115011423513240
7135223325030436
oct17131111225630
93620474688116
101042756742040
11372259aa6042
1214a115158820
13774405108c0
1438680bb7d56
151c1d0290910
hexf2c9252b98

1042756742040 has 64 divisors (see below), whose sum is σ = 3368906402400. Its totient is φ = 256678582272.

The previous prime is 1042756742023. The next prime is 1042756742057. The reversal of 1042756742040 is 402476572401.

It is an interprime number because it is at equal distance from previous prime (1042756742023) and next prime (1042756742057).

It is a junction number, because it is equal to n+sod(n) for n = 1042756741983 and 1042756742001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334215345 + ... + 334218464.

Almost surely, 21042756742040 is an apocalyptic number.

1042756742040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042756742040 is an abundant number, since it is smaller than the sum of its proper divisors (2326149660360).

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

1042756742040 is a wasteful number, since it uses less digits than its factorization.

1042756742040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668433836 (or 668433832 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 1042756742040 in words is "one trillion, forty-two billion, seven hundred fifty-six million, seven hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 668433809 1336867618 2005301427 2673735236 3342169045 4010602854 5347470472 6684338090 8021205708 8689639517 10026507135 13368676180 16042411416 17379279034 20053014270 26068918551 26737352360 34758558068 40106028540 43448197585 52137837102 69517116136 80212057080 86896395170 104275674204 130344592755 173792790340 208551348408 260689185510 347585580680 521378371020 1042756742040