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114433235046156 = 2231310940991641811
BaseRepresentation
bin11010000001001110010000…
…010100110100111100001100
3120000011201011220102010110110
4122001032100110310330030
5104444333231132434111
61043213522532240020
733050346145616205
oct3201162024647414
9500151156363413
10114433235046156
1133509953a08254
1210a01b16a70010
134bb101408c8c0
14203885339a5ac
15d36a0ec125a6
hex681390534f0c

114433235046156 has 96 divisors (see below), whose sum is σ = 290259227104000. Its totient is φ = 34878664177920.

The previous prime is 114433235046139. The next prime is 114433235046187. The reversal of 114433235046156 is 651640532334411.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68878491 + ... + 70520301.

Almost surely, 2114433235046156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114433235046156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145129613552000).

114433235046156 is an abundant number, since it is smaller than the sum of its proper divisors (175825992057844).

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

114433235046156 is a wasteful number, since it uses less digits than its factorization.

114433235046156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646039 (or 1646037 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 114433235046156 in words is "one hundred fourteen trillion, four hundred thirty-three billion, two hundred thirty-five million, forty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 4099 4251 5668 8198 8502 12297 16396 17004 24594 49188 53287 106574 159861 213148 319722 446791 639444 893582 1340373 1641811 1787164 2680746 3283622 4925433 5361492 5808283 6567244 9850866 11616566 17424849 19701732 21343543 23233132 34849698 42687086 64030629 69699396 85374172 128061258 178957399 256122516 357914798 536872197 715829596 1073744394 2147488788 2326446187 4652892374 6729783289 6979338561 9305784748 13459566578 13958677122 20189349867 26919133156 27917354244 40378699734 80757399468 87487182757 174974365514 262461548271 349948731028 524923096542 733546378501 1049846193084 1467092757002 2200639135503 2934185514004 4401278271006 8802556542012 9536102920513 19072205841026 28608308761539 38144411682052 57216617523078 114433235046156