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23306424313014 = 23423471321100747
BaseRepresentation
bin1010100110010011100110…
…01001000110010010110110
310001112001221210010201120000
411103021303021012102312
511023323024111004024
6121322453514052130
74623555630663033
oct523116311062266
9101461853121500
1023306424313014
117476220a22507
122744b3641a046
131000a2b8b318b
145a807359838a
152a63c0c88cc9
hex1532732464b6

23306424313014 has 160 divisors (see below), whose sum is σ = 55696383046656. Its totient is φ = 7267348978560.

The previous prime is 23306424313001. The next prime is 23306424313027. The reversal of 23306424313014 is 41031342460332.

It is a happy number.

23306424313014 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 642 + 4 + 3 + 1 + 3 + 0 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (23306424313001) and next prime (23306424313027).

It is a self number, because there is not a number n which added to its sum of digits gives 23306424313014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 231285789 + ... + 231386535.

Almost surely, 223306424313014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23306424313014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27848191523328).

23306424313014 is an abundant number, since it is smaller than the sum of its proper divisors (32389958733642).

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

23306424313014 is a wasteful number, since it uses less digits than its factorization.

23306424313014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102152 (or 102143 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 23306424313014 its reverse (41031342460332), we get a palindrome (64337766773346).

The spelling of 23306424313014 in words is "twenty-three trillion, three hundred six billion, four hundred twenty-four million, three hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 81 94 138 141 162 207 282 414 423 621 846 1081 1242 1269 1321 1863 2162 2538 2642 3243 3726 3807 3963 6486 7614 7926 9729 11889 19458 23778 29187 30383 35667 58374 60766 62087 71334 87561 91149 100747 107001 124174 175122 182298 186261 201494 214002 273447 302241 372522 546894 558783 604482 820341 906723 1117566 1428001 1640682 1676349 1813446 2317181 2461023 2720169 2856002 3352698 4284003 4634362 4735109 4922046 5029047 5440338 6951543 8160507 8568006 9470218 10058094 12852009 13903086 14205327 16321014 20854629 25704018 28410654 38556027 41709258 42615981 62563887 77112054 85231962 108907507 115668081 125127774 127847943 133086787 187691661 217815014 231336162 255695886 266173574 326722521 375383322 383543829 399260361 653445042 767087658 798520722 980167563 1197781083 1960335126 2395562166 2940502689 3060996101 3593343249 5881005378 6121992202 6255078989 7186686498 8821508067 9182988303 10780029747 12510157978 17643016134 18365976606 18765236967 21560059494 27548964909 37530473934 55097929818 56295710901 82646894727 112591421802 143866816747 165293789454 168887132703 247940684181 287733633494 337774265406 431600450241 495881368362 506661398109 863200900482 1013322796218 1294801350723 2589602701446 3884404052169 7768808104338 11653212156507 23306424313014