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114002442325413 = 35832349195131
BaseRepresentation
bin11001111010111101000011…
…000101000000110110100101
3112221122112020012220110200000
4121322331003011000312211
5104420304000213403123
61042243555441211513
733004255540121145
oct3172750305006645
9487575205813600
10114002442325413
1133363189723014
121095252b330b99
134b7c4cc084955
142021a6779a925
15d2a6e9d04b43
hex67af43140da5

114002442325413 has 72 divisors (see below), whose sum is σ = 173347502546400. Its totient is φ = 74870416277280.

The previous prime is 114002442325351. The next prime is 114002442325469. The reversal of 114002442325413 is 314523244200411.

114002442325413 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 2 + 4 + 4 + 232 + 5 + 413 = 666.

It is not a de Polignac number, because 114002442325413 - 28 = 114002442325157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114002442327413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 584137858 + ... + 584332988.

Almost surely, 2114002442325413 is an apocalyptic number.

It is an amenable number.

114002442325413 is a deficient number, since it is larger than the sum of its proper divisors (59345060220987).

114002442325413 is an frugal number, since it uses more digits than its factorization.

114002442325413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195661 (or 195566 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 114002442325413 its reverse (314523244200411), we get a palindrome (428525686525824).

The spelling of 114002442325413 in words is "one hundred fourteen trillion, two billion, four hundred forty-two million, three hundred twenty-five thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 83 243 249 349 747 1047 2241 3141 6723 6889 9423 20169 20667 28269 28967 62001 84807 86901 186003 195131 260703 558009 585393 782109 1674027 1756179 2346327 2404261 5268537 7038981 7212783 15805611 16195873 21638349 47416833 48587619 64915047 68100719 145762857 194745141 204302157 437288571 584235423 612906471 1311865713 1344257459 1838719413 3935597139 4032772377 5516158239 5652359677 12098317131 16548474717 16957079031 36294951393 50871237093 108884854179 152613711279 326654562537 457841133837 469145853191 1373523401511 1407437559573 4222312678719 12666938036157 38000814108471 114002442325413