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114255031415406 = 237193710138313281
BaseRepresentation
bin11001111110101000010010…
…100011111011001001101110
3112222112200012120211201120020
4121332220102203323021232
5104433423301020243111
61043000011542103010
733031440122012220
oct3176502243731156
9488480176751506
10114255031415406
113345031767a962
1210993482a1aa66
134b9a28466694b
14202dd89db0410
15d32080096906
hex67ea128fb26e

114255031415406 has 128 divisors (see below), whose sum is σ = 285124379581440. Its totient is φ = 29792406528000.

The previous prime is 114255031415381. The next prime is 114255031415407. The reversal of 114255031415406 is 604514130552411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114255031415407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16174515 + ... + 22138766.

It is an arithmetic number, because the mean of its divisors is an integer number (2227534215480).

Almost surely, 2114255031415406 is an apocalyptic number.

114255031415406 is an abundant number, since it is smaller than the sum of its proper divisors (170869348166034).

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

114255031415406 is a wasteful number, since it uses less digits than its factorization.

114255031415406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38313450.

The product of its (nonzero) digits is 288000, while the sum is 42.

Adding to 114255031415406 its reverse (604514130552411), we get a palindrome (718769161967817).

The spelling of 114255031415406 in words is "one hundred fourteen trillion, two hundred fifty-five billion, thirty-one million, four hundred fifteen thousand, four hundred six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 101 111 114 133 202 222 259 266 303 399 518 606 703 707 777 798 1406 1414 1554 1919 2109 2121 3737 3838 4218 4242 4921 5757 7474 9842 11211 11514 13433 14763 22422 26159 26866 29526 40299 52318 71003 78477 80598 142006 156954 213009 426018 497021 994042 1491063 2982126 38313281 76626562 114939843 229879686 268192967 536385934 727952339 804578901 1417591397 1455904678 1609157802 2183857017 2835182794 3869641381 4252774191 4367714034 5095666373 7739282762 8505548382 9923139779 10191332746 11608924143 15286999119 19846279558 23217848286 26934236543 27087489667 29769419337 30573998238 53868473086 54174979334 59538838674 73523186239 80802709629 81262469001 143176731097 147046372478 161605419258 162524938002 188539655801 220569558717 286353462194 377079311602 429530193291 441139117434 514662303673 565618967403 859060386582 1002237117679 1029324607346 1131237934806 1543986911019 2004474235358 2720357890843 3006711353037 3087973822038 5440715781686 6013422706074 8161073672529 16322147345058 19042505235901 38085010471802 57127515707703 114255031415406