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1240400451330 = 232562692198473
BaseRepresentation
bin10010000011001101101…
…000001101011100000010
311101120200122021200102200
4102003031220031130002
5130310320003420310
62345455422254030
7155421164605305
oct22031550153402
94346618250380
101240400451330
11439061799147
12180493727316
138cc7a609101
144406dd76b3c
15223eb9249c0
hex120cda0d702

1240400451330 has 48 divisors (see below), whose sum is σ = 3225557083320. Its totient is φ = 330720539904.

The previous prime is 1240400451299. The next prime is 1240400451337. The reversal of 1240400451330 is 331540040421.

It is a happy number.

1240400451330 is a `hidden beast` number, since 1 + 240 + 40 + 0 + 4 + 51 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 470325754809 + 770074696521 = 685803^2 + 877539^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1240400451294 and 1240400451303.

It is not an unprimeable number, because it can be changed into a prime (1240400451337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535027 + ... + 1663446.

Almost surely, 21240400451330 is an apocalyptic number.

1240400451330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1240400451330 is an abundant number, since it is smaller than the sum of its proper divisors (1985156631990).

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

1240400451330 is a wasteful number, since it uses less digits than its factorization.

1240400451330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204755 (or 2204752 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1240400451330 its reverse (331540040421), we get a palindrome (1571940491751).

The spelling of 1240400451330 in words is "one trillion, two hundred forty billion, four hundred million, four hundred fifty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6269 12538 18807 31345 37614 56421 62690 94035 112842 188070 282105 564210 2198473 4396946 6595419 10992365 13190838 19786257 21984730 32977095 39572514 65954190 98931285 197862570 13782227237 27564454474 41346681711 68911136185 82693363422 124040045133 137822272370 206733408555 248080090266 413466817110 620200225665 1240400451330