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34303041101142 = 2351117377445931
BaseRepresentation
bin1111100110010110011001…
…00101000101110101010110
311111110100010220200102200000
413303023030211011311112
513444010112010214032
6200542333255432130
710140212223303042
oct763131445056526
9144410126612600
1034303041101142
11aa25924472250
123a201ab085646
13161a9bc10b8c8
148683c1693022
153e747a404e7c
hex1f32cc945d56

34303041101142 has 96 divisors (see below), whose sum is σ = 89028926872704. Its totient is φ = 9783398505600.

The previous prime is 34303041101123. The next prime is 34303041101149. The reversal of 34303041101142 is 24110114030343.

34303041101142 is a `hidden beast` number, since 3 + 430 + 3 + 0 + 4 + 110 + 114 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34303041101149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188632084 + ... + 188813847.

It is an arithmetic number, because the mean of its divisors is an integer number (927384654924).

Almost surely, 234303041101142 is an apocalyptic number.

34303041101142 is an abundant number, since it is smaller than the sum of its proper divisors (54725885771562).

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

34303041101142 is a wasteful number, since it uses less digits than its factorization.

34303041101142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377445976 (or 377445964 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34303041101142 its reverse (24110114030343), we get a palindrome (58413155131485).

The spelling of 34303041101142 in words is "thirty-four trillion, three hundred three billion, forty-one million, one hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 153 162 187 198 243 297 306 374 459 486 561 594 891 918 1122 1377 1683 1782 2673 2754 3366 4131 5049 5346 8262 10098 15147 30294 45441 90882 377445931 754891862 1132337793 2264675586 3397013379 4151905241 6416580827 6794026758 8303810482 10191040137 12455715723 12833161654 19249742481 20382080274 24911431446 30573120411 37367147169 38499484962 57749227443 61146240822 70582389097 74734294338 91719361233 112101441507 115498454886 141164778194 173247682329 183438722466 211747167291 224202883014 336304324521 346495364658 423494334582 519743046987 635241501873 672608649042 1008912973563 1039486093974 1270483003746 1559229140961 1905724505619 2017825947126 3118458281922 3811449011238 5717173516857 11434347033714 17151520550571 34303041101142