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114542222034032 = 24134491283955937
BaseRepresentation
bin11010000010110011110000…
…011101001100010001110000
3120000120010111101122202102222
4122002303300131030101300
5110003124432320042112
61043335545333500212
733061255020002432
oct3202636035142160
9500503441582388
10114542222034032
11335510a1257361
1210a1b0724a1668
134bbb392744a40
14203dc31c06652
15d3978ce08372
hex682cf074c470

114542222034032 has 80 divisors (see below), whose sum is σ = 239715983757600. Its totient is φ = 52706732015616.

The previous prime is 114542222033999. The next prime is 114542222034083. The reversal of 114542222034032 is 230430222245411.

114542222034032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1145422220340323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114542222033983 and 114542222034001.

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, 119343968 + ... + 120299904.

It is an arithmetic number, because the mean of its divisors is an integer number (2996449796970).

Almost surely, 2114542222034032 is an apocalyptic number.

It is an amenable number.

114542222034032 is an abundant number, since it is smaller than the sum of its proper divisors (125173761723568).

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

114542222034032 is a wasteful number, since it uses less digits than its factorization.

114542222034032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957690 (or 957684 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 114542222034032 its reverse (230430222245411), we get a palindrome (344972444279443).

The spelling of 114542222034032 in words is "one hundred fourteen trillion, five hundred forty-two billion, two hundred twenty-two million, thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 449 898 1283 1796 2566 3592 5132 5837 7184 10264 11674 16679 20528 23348 33358 46696 66716 93392 133432 266864 576067 955937 1152134 1911874 2304268 3823748 4608536 7488871 7647496 9217072 12427181 14977742 15294992 24854362 29955484 49708724 59910968 99417448 119821936 198834896 429215713 858431426 1226467171 1716862852 2452934342 3433725704 4905868684 5579804269 6867451408 9811737368 11159608538 15944073223 19623474736 22319217076 31888146446 44638434152 63776292892 89276868304 127552585784 255105171568 550683759779 1101367519558 2202735039116 4405470078232 7158888877127 8810940156464 14317777754254 28635555508508 57271111017016 114542222034032