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114454911375 = 3253743337999
BaseRepresentation
bin110101010011000001…
…0110101100110001111
3101221102120002220220200
41222212002311212033
53333400424131000
6124325125544543
711161204460160
oct1524602654617
9357376086820
10114454911375
11445a38a4a52
121a222875153
13aa4044793c
14577ab13767
152e9d27b500
hex1aa60b598f

114454911375 has 96 divisors (see below), whose sum is σ = 241283328000. Its totient is φ = 51105297600.

The previous prime is 114454911341. The next prime is 114454911377. The reversal of 114454911375 is 573119454411.

114454911375 is a `hidden beast` number, since 1 + 14 + 454 + 9 + 113 + 75 = 666.

It is not a de Polignac number, because 114454911375 - 214 = 114454894991 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 114454911375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114454911377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169626 + ... + 507624.

It is an arithmetic number, because the mean of its divisors is an integer number (2513368000).

Almost surely, 2114454911375 is an apocalyptic number.

114454911375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114454911375 is an abundant number, since it is smaller than the sum of its proper divisors (126828416625).

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

114454911375 is a wasteful number, since it uses less digits than its factorization.

114454911375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338070 (or 338057 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 114454911375 in words is "one hundred fourteen billion, four hundred fifty-four million, nine hundred eleven thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 43 45 63 75 105 125 129 175 215 225 301 315 375 387 525 645 875 903 1075 1125 1505 1575 1935 2625 2709 3225 4515 5375 7525 7875 9675 13545 16125 22575 37625 48375 67725 112875 337999 338625 1013997 1689995 2365993 3041991 5069985 7097979 8449975 11829965 14533957 15209955 21293937 25349925 35489895 42249875 43601871 59149825 72669785 76049775 101737699 106469685 126749625 130805613 177449475 218009355 295749125 305213097 363348925 380248875 508688495 532348425 654028065 887247375 915639291 1090046775 1526065485 1816744625 2543442475 2661742125 3270140325 4578196455 5450233875 7630327425 12717212375 16350701625 22890982275 38151637125 114454911375