Search a number
-
+
114004043174376 = 23321799499361801
BaseRepresentation
bin11001111010111110100010…
…011111110001000111101000
3112221122200100210012000121100
4121322332202133301013220
5104420320240023040001
61042244422345041400
733004343316115245
oct3172764237610750
9487580323160540
10114004043174376
1133363930324593
12109528b7486260
134b7c6c5926c64
142021b7a2325cc
15d2a790620586
hex67afa27f11e8

114004043174376 has 96 divisors (see below), whose sum is σ = 326956253949000. Its totient is φ = 35762375577600.

The previous prime is 114004043174353. The next prime is 114004043174423. The reversal of 114004043174376 is 673471340400411.

It is a happy number.

114004043174376 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 404 + 3 + 174 + 3 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112985207302500 + 1018835871876 = 10629450^2 + 1009374^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7496676 + ... + 16858476.

Almost surely, 2114004043174376 is an apocalyptic number.

It is an amenable number.

114004043174376 is an abundant number, since it is smaller than the sum of its proper divisors (212952210774624).

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

114004043174376 is a wasteful number, since it uses less digits than its factorization.

114004043174376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9371779 (or 9371772 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

Adding to 114004043174376 its reverse (673471340400411), we get a palindrome (787475383574787).

The spelling of 114004043174376 in words is "one hundred fourteen trillion, four billion, forty-three million, one hundred seventy-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 9949 19898 29847 39796 59694 79592 89541 119388 169133 179082 238776 338266 358164 507399 676532 716328 1014798 1353064 1522197 2029596 3044394 4059192 6088788 9361801 12177576 18723602 28085403 37447204 56170806 74894408 84256209 112341612 159150617 168512418 224683224 318301234 337024836 477451851 636602468 674049672 954903702 1273204936 1432355553 1909807404 2864711106 3819614808 5729422212 11458844424 93140558149 186281116298 279421674447 372562232596 558843348894 745124465192 838265023341 1117686697788 1583389488533 1676530046682 2235373395576 3166778977066 3353060093364 4750168465599 6333557954132 6706120186728 9500336931198 12667115908264 14250505396797 19000673862396 28501010793594 38001347724792 57002021587188 114004043174376