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114531454654152 = 233232514091202061
BaseRepresentation
bin11010000010101001101110…
…101010111001011011001000
3120000112002200222221012000120
4122002221232222321123020
5110002440404342413102
61043331005055303240
733060424133534364
oct3202515652713310
9500462628835016
10114531454654152
11335475763614a8
1210a18b6851ab20
134bba367a86143
14203d4cdbaa2a4
15d3935c9b86bc
hex682a6eab96c8

114531454654152 has 128 divisors (see below), whose sum is σ = 300042866027520. Its totient is φ = 36362717600000.

The previous prime is 114531454654139. The next prime is 114531454654163. The reversal of 114531454654152 is 251456454135411.

It is a junction number, because it is equal to n+sod(n) for n = 114531454654095 and 114531454654104.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 566715202 + ... + 566917262.

It is an arithmetic number, because the mean of its divisors is an integer number (2344084890840).

Almost surely, 2114531454654152 is an apocalyptic number.

114531454654152 is a gapful number since it is divisible by the number (12) 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 114531454654152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150021433013760).

114531454654152 is an abundant number, since it is smaller than the sum of its proper divisors (185511411373368).

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

114531454654152 is a wasteful number, since it uses less digits than its factorization.

114531454654152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206435 (or 206431 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 51.

The spelling of 114531454654152 in words is "one hundred fourteen trillion, five hundred thirty-one billion, four hundred fifty-four million, six hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 251 276 502 552 753 1004 1506 2008 3012 4091 5773 6024 8182 11546 12273 16364 17319 23092 24546 32728 34638 46184 49092 69276 94093 98184 138552 188186 202061 282279 376372 404122 564558 606183 752744 808244 1026841 1129116 1212366 1616488 2053682 2258232 2424732 3080523 4107364 4647403 4849464 6161046 8214728 9294806 12322092 13942209 18589612 23617343 24644184 27884418 37179224 47234686 50717311 55768836 70852029 94469372 101434622 111537672 141704058 152151933 188938744 202869244 283408116 304303866 405738488 566816232 608607732 826631551 1166498153 1217215464 1653263102 2332996306 2479894653 3306526204 3499494459 4665992612 4959789306 6613052408 6998988918 9331985224 9919578612 13997977836 19012525673 19839157224 27995955672 38025051346 57037577019 76050102692 114075154038 152100205384 207484519301 228150308076 414969038602 456300616152 622453557903 829938077204 1244907115806 1659876154408 2489814231612 4772143943923 4979628463224 9544287887846 14316431831769 19088575775692 28632863663538 38177151551384 57265727327076 114531454654152