Search a number
-
+
114054550272 = 2832133807911
BaseRepresentation
bin110101000111000101…
…1100101001100000000
3101220101122202110201200
41222032023211030000
53332040431102042
6124221304501200
711145243452505
oct1521613451400
9356348673650
10114054550272
1144408902803
121a13077a800
13a9a850ab90
14573d8974ac
152e78045c4c
hex1a8e2e5300

114054550272 has 108 divisors (see below), whose sum is σ = 354143431824. Its totient is φ = 35093698560.

The previous prime is 114054550249. The next prime is 114054550303. The reversal of 114054550272 is 272055450411.

114054550272 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 45 + 502 + 72 = 666.

114054550272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1874004 + ... + 1933907.

Almost surely, 2114054550272 is an apocalyptic number.

114054550272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114054550272 is an abundant number, since it is smaller than the sum of its proper divisors (240088881552).

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

114054550272 is a wasteful number, since it uses less digits than its factorization.

114054550272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807946 (or 3807929 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 114054550272 in words is "one hundred fourteen billion, fifty-four million, five hundred fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 9984 14976 29952 3807911 7615822 11423733 15231644 22847466 30463288 34271199 45694932 49502843 60926576 68542398 91389864 99005686 121853152 137084796 148508529 182779728 198011372 243706304 274169592 297017058 365559456 396022744 445525587 487412608 548339184 594034116 731118912 792045488 891051174 974825216 1096678368 1188068232 1462237824 1584090976 1782102348 2193356736 2376136464 2924475648 3168181952 3564204696 4386713472 4752272928 6336363904 7128409392 8773426944 9504545856 12672727808 14256818784 19009091712 28513637568 38018183424 57027275136 114054550272