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114525214021125 = 345337397770041
BaseRepresentation
bin11010000010100011111010…
…101100110001011000000101
3120000111111121002002011220000
4122002203322230301120011
5110002340114242134000
61043324053525031513
733060113365166115
oct3202437254613005
9500444532064800
10114525214021125
1133544963715546
1210a17906555599
134bb98b1ba738b
14203d09b03d045
15d390e4b9c000
hex6828fab31605

114525214021125 has 160 divisors (see below), whose sum is σ = 219832070666208. Its totient is φ = 59279527296000.

The previous prime is 114525214021121. The next prime is 114525214021133. The reversal of 114525214021125 is 521120412525411.

114525214021125 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 521 + 4 + 0 + 2 + 1 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 88679154475521 + 25846059545604 = 9416961^2 + 5083902^2 .

It is not a de Polignac number, because 114525214021125 - 22 = 114525214021121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114525214021125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525214021121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 148341105 + ... + 149111145.

Almost surely, 2114525214021125 is an apocalyptic number.

114525214021125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114525214021125 is a deficient number, since it is larger than the sum of its proper divisors (105306856645083).

114525214021125 is an equidigital number, since it uses as much as digits as its factorization.

114525214021125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770502 (or 770483 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Adding to 114525214021125 its reverse (521120412525411), we get a palindrome (635645626546536).

The spelling of 114525214021125 in words is "one hundred fourteen trillion, five hundred twenty-five billion, two hundred fourteen million, twenty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 125 135 185 225 333 375 397 405 555 675 925 999 1125 1191 1665 1985 2025 2775 2997 3375 3573 4625 4995 5955 8325 9925 10125 10719 13875 14689 14985 17865 24975 29775 32157 41625 44067 49625 53595 73445 74925 89325 124875 132201 148875 160785 220335 267975 367225 374625 396603 446625 661005 770041 803925 1101675 1189809 1339875 1836125 1983015 2310123 3305025 3850205 4019625 5508375 5949045 6930369 9915075 11550615 16525125 19251025 20791107 28491517 29745225 34651845 49575375 57753075 62373321 85474551 96255125 103955535 142457585 148726125 173259225 256423653 288765375 305706277 311866605 427372755 519777675 712287925 769270959 866296125 917118831 1282118265 1528531385 1559333025 2136863775 2307812877 2598888375 2751356493 3561439625 3846354795 4585594155 6410591325 7642656925 7796665125 8254069479 10684318875 11311132249 11539064385 13756782465 19231773975 22927970775 24762208437 32052956625 33933396747 38213284625 41270347395 56555661245 57695321925 68783912325 96158869875 101800190241 114639853875 123811042185 169666983735 206351736975 282778306225 288476609625 305400570723 343919561625 509000951205 619055210925 848334918675 916201712169 1031758684875 1413891531125 1527002853615 2545004756025 3095276054625 4241674593375 4581008560845 7635014268075 12725023780125 22905042804225 38175071340375 114525214021125