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42114132213400 = 23521321245980243
BaseRepresentation
bin10011001001101011101011…
…11000111111111010011000
312112010001221021200000210101
421210311311320333322120
521004444220321312100
6225322544254425144
711604434312255452
oct1144656570777230
9175101837600711
1042114132213400
11124675597a3065
1248820018021b4
131a6646545c500
14a58498c7b2d2
154d074298186a
hex264d75e3fe98

42114132213400 has 72 divisors (see below), whose sum is σ = 106026688863180. Its totient is φ = 15549833420160.

The previous prime is 42114132213347. The next prime is 42114132213407. The reversal of 42114132213400 is 431223141124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114132213407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 622956322 + ... + 623023921.

Almost surely, 242114132213400 is an apocalyptic number.

42114132213400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42114132213400 is an abundant number, since it is smaller than the sum of its proper divisors (63912556649780).

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

42114132213400 is a wasteful number, since it uses less digits than its factorization.

42114132213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245980285 (or 1245980263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 42114132213400 its reverse (431223141124), we get a palindrome (42545355354524).

The spelling of 42114132213400 in words is "forty-two trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 33800 1245980243 2491960486 4983920972 6229901215 9967841944 12459802430 16197743159 24919604860 31149506075 32395486318 49839209720 62299012150 64790972636 80988715795 124598024300 129581945272 161977431590 210570661067 249196048600 323954863180 404943578975 421141322134 647909726360 809887157950 842282644268 1052853305335 1619774315900 1684565288536 2105706610670 3239548631800 4211413221340 5264266526675 8422826442680 10528533053350 21057066106700 42114132213400