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1142122410040 = 235432390927773
BaseRepresentation
bin10000100111101011110…
…011001111000000111000
311001012000110210220110111
4100213223303033000320
5122203031314110130
62232403410554104
7145341600206503
oct20475363170070
94035013726414
101142122410040
1140040a364117
12165426598934
1383917793a61
143d3c98b613a
151ea9897a02a
hex109ebccf038

1142122410040 has 64 divisors (see below), whose sum is σ = 2629742306400. Its totient is φ = 446189839872.

The previous prime is 1142122409969. The next prime is 1142122410053. The reversal of 1142122410040 is 400142212411.

It is a junction number, because it is equal to n+sod(n) for n = 1142122409993 and 1142122410020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41109594 + ... + 41137366.

Almost surely, 21142122410040 is an apocalyptic number.

1142122410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142122410040 is an abundant number, since it is smaller than the sum of its proper divisors (1487619896360).

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

1142122410040 is a wasteful number, since it uses less digits than its factorization.

1142122410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51736 (or 51732 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1142122410040 its reverse (400142212411), we get a palindrome (1542264622451).

It can be divided in two parts, 114212 and 2410040, that added together give a palindrome (2524252).

The spelling of 1142122410040 in words is "one trillion, one hundred forty-two billion, one hundred twenty-two million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 23909 27773 47818 55546 95636 111092 119545 138865 191272 222184 239090 277730 478180 555460 956360 1028087 1110920 1194239 2056174 2388478 4112348 4776956 5140435 5971195 8224696 9553912 10280870 11942390 20561740 23884780 41123480 47769560 664024657 1328049314 2656098628 3320123285 5312197256 6640246570 13280493140 26560986280 28553060251 57106120502 114212241004 142765301255 228424482008 285530602510 571061205020 1142122410040