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114276042176 = 26172273371373
BaseRepresentation
bin110101001101101100…
…0100000010111000000
3101220222002112102111112
41222123120200113000
53333014131322201
6124255300102452
711153603221502
oct1523330402700
9356862472445
10114276042176
114451193496a
121a192994a28
13aa1237b68a
145761071d72
152e8c6e80bb
hex1a9b6205c0

114276042176 has 112 divisors (see below), whose sum is σ = 242055249696. Its totient is φ = 53342306304.

The previous prime is 114276042163. The next prime is 114276042247. The reversal of 114276042176 is 671240672411.

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, 83230226 + ... + 83231598.

Almost surely, 2114276042176 is an apocalyptic number.

114276042176 is a gapful number since it is divisible by the number (16) 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 114276042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121027624848).

114276042176 is an abundant number, since it is smaller than the sum of its proper divisors (127779207520).

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

114276042176 is a wasteful number, since it uses less digits than its factorization.

114276042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 114276042176 in words is "one hundred fourteen billion, two hundred seventy-six million, forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 227 272 337 454 544 674 908 1088 1348 1373 1816 2696 2746 3632 3859 5392 5492 5729 7264 7718 10784 10984 11458 14528 15436 21568 21968 22916 23341 30872 43936 45832 46682 61744 76499 87872 91664 93364 123488 152998 183328 186728 246976 305996 311671 366656 373456 462701 611992 623342 746912 925402 1223984 1246684 1300483 1493824 1850804 2447968 2493368 2600966 3701608 4895936 4986736 5201932 5298407 7403216 7865917 9973472 10403864 10596814 14806432 15731834 19946944 20807728 21193628 29612864 31463668 41615456 42387256 62927336 83230912 84774512 105033127 125854672 169549024 210066254 251709344 339098048 420132508 503418688 840265016 1680530032 1785563159 3361060064 3571126318 6722120128 7142252636 14284505272 28569010544 57138021088 114276042176