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114191061795 = 355107878359
BaseRepresentation
bin110101001011001010…
…0010101001100100011
3101220202011121222100000
41222112110111030203
53332330402434140
6124243022431043
711151522003336
oct1522624251443
9356664558300
10114191061795
1144478971948
121a16a432483
13a9ca896425
145753a7061d
152e8500da30
hex1a96515323

114191061795 has 48 divisors (see below), whose sum is σ = 207180529920. Its totient is φ = 60332654304.

The previous prime is 114191061791. The next prime is 114191061797. The reversal of 114191061795 is 597160191411.

It is a happy number.

114191061795 is a `hidden beast` number, since 1 + 1 + 4 + 19 + 10 + 617 + 9 + 5 = 666.

It is not a de Polignac number, because 114191061795 - 22 = 114191061791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 114191061795.

It is not an unprimeable number, because it can be changed into a prime (114191061791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309175 + ... + 569184.

It is an arithmetic number, because the mean of its divisors is an integer number (4316261040).

Almost surely, 2114191061795 is an apocalyptic number.

114191061795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114191061795 is a deficient number, since it is larger than the sum of its proper divisors (92989468125).

114191061795 is an equidigital number, since it uses as much as digits as its factorization.

114191061795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878486 (or 878474 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 45.

The spelling of 114191061795 in words is "one hundred fourteen billion, one hundred ninety-one million, sixty-one thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 107 135 243 321 405 535 963 1215 1605 2889 4815 8667 14445 26001 43335 130005 878359 2635077 4391795 7905231 13175385 23715693 39526155 71147079 93984413 118578465 213441237 281953239 355735395 469922065 845859717 1067206185 1409766195 2537579151 4229298585 7612737453 12687895755 22838212359 38063687265 114191061795