Search a number
-
+
14083830096192 = 2636301865357
BaseRepresentation
bin1100110011110010010110…
…1100001010000101000000
31211212101211100001002000000
43030330211230022011000
53321222141001034232
645542004445000000
72652344303410263
oct314744554120500
954771740032000
1014083830096192
11453aa11a1971a
1216b565a253000
137b213a72cb6c
14369937b70cda
1519654578027c
hexccf25b0a140

14083830096192 has 98 divisors (see below), whose sum is σ = 41902232209338. Its totient is φ = 4694610016512.

The previous prime is 14083830096163. The next prime is 14083830096197. The reversal of 14083830096192 is 29169003838041.

14083830096192 is a `hidden beast` number, since 1 + 408 + 38 + 30 + 0 + 96 + 1 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13884685678656 + 199144417536 = 3726216^2 + 446256^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14083830096197) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 150886023 + ... + 150979334.

Almost surely, 214083830096192 is an apocalyptic number.

14083830096192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14083830096192 is an abundant number, since it is smaller than the sum of its proper divisors (27818402113146).

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

14083830096192 is an frugal number, since it uses more digits than its factorization.

14083830096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301865387 (or 301865362 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 14083830096192 in words is "fourteen trillion, eighty-three billion, eight hundred thirty million, ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656 301865357 603730714 905596071 1207461428 1811192142 2414922856 2716788213 3622384284 4829845712 5433576426 7244768568 8150364639 9659691424 10867152852 14489537136 16300729278 19319382848 21734305704 24451093917 28979074272 32601458556 43468611408 48902187834 57958148544 65202917112 73353281751 86937222816 97804375668 130405834224 146706563502 173874445632 195608751336 220059845253 260811668448 293413127004 391217502672 440119690506 521623336896 586826254008 782435005344 880239381012 1173652508016 1564870010688 1760478762024 2347305016032 3520957524048 4694610032064 7041915048096 14083830096192