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114255011050392 = 233237112592315539
BaseRepresentation
bin11001111110101000010001…
…010110001111001110011000
3112222112200011011112002000110
4121332220101112033032120
5104433423230312103032
61043000005533404320
733031436453633052
oct3176502126171630
9488480134462013
10114255011050392
1133450307130373
12109934780396a0
134b9a280386344
14202dd873cc8d2
15d3207d3c27cc
hex67ea1158f398

114255011050392 has 128 divisors (see below), whose sum is σ = 302494735872000. Its totient is φ = 35887504625280.

The previous prime is 114255011050391. The next prime is 114255011050409. The reversal of 114255011050392 is 293050110552411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114255011050392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114255011050391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48184959 + ... + 50500497.

It is an arithmetic number, because the mean of its divisors is an integer number (2363240124000).

Almost surely, 2114255011050392 is an apocalyptic number.

114255011050392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114255011050392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151247367936000).

114255011050392 is an abundant number, since it is smaller than the sum of its proper divisors (188239724821608).

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

114255011050392 is a wasteful number, since it uses less digits than its factorization.

114255011050392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316901 (or 2316897 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 114255011050392 in words is "one hundred fourteen trillion, two hundred fifty-five billion, eleven million, fifty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 71 92 138 142 184 213 276 284 426 552 568 852 1259 1633 1704 2518 3266 3777 4899 5036 6532 7554 9798 10072 13064 15108 19596 28957 30216 39192 57914 86871 89389 115828 173742 178778 231656 268167 347484 357556 536334 694968 715112 1072668 2055947 2145336 2315539 4111894 4631078 6167841 6946617 8223788 9262156 12335682 13893234 16447576 18524312 24671364 27786468 49342728 53257397 55572936 106514794 159772191 164403269 213029588 319544382 328806538 426059176 493209807 639088764 657613076 986419614 1278177528 1315226152 1972839228 2915263601 3781275187 3945678456 5830527202 7562550374 8745790803 11343825561 11661054404 15125100748 17491581606 22687651122 23322108808 30250201496 34983163212 45375302244 67051062823 69966326424 90750604488 134102125646 201153188469 206983715671 268204251292 402306376938 413967431342 536408502584 620951147013 804612753876 827934862684 1241902294026 1609225507752 1655869725368 2483804588052 4760625460433 4967609176104 9521250920866 14281876381299 19042501841732 28563752762598 38085003683464 57127505525196 114255011050392