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134245296024 = 233719160726171
BaseRepresentation
bin111110100000110100…
…1001010011110011000
3110211111210012121221220
41331001221022132120
54144413243433044
6141401010332040
712461503121460
oct1750151123630
9424453177856
10134245296024
1151a29a73944
122202658a020
13c87557c808
1466d7232ba0
15375a8de019
hex1f41a4a798

134245296024 has 128 divisors (see below), whose sum is σ = 404011929600. Its totient is φ = 36313073280.

The previous prime is 134245296019. The next prime is 134245296037. The reversal of 134245296024 is 420692542431.

It is a Cunningham number, because it is equal to 3663952-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5116459 + ... + 5142629.

It is an arithmetic number, because the mean of its divisors is an integer number (3156343200).

Almost surely, 2134245296024 is an apocalyptic number.

134245296024 is a gapful number since it is divisible by the number (14) 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 134245296024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202005964800).

134245296024 is an abundant number, since it is smaller than the sum of its proper divisors (269766633576).

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

134245296024 is a wasteful number, since it uses less digits than its factorization.

134245296024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27813 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 134245296024 in words is "one hundred thirty-four billion, two hundred forty-five million, two hundred ninety-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 1607 3192 3214 4821 6428 9642 11249 12856 19284 22498 26171 30533 33747 38568 44996 52342 61066 67494 78513 89992 91599 104684 122132 134988 157026 183197 183198 209368 213731 244264 269976 314052 366394 366396 427462 497249 549591 628104 641193 732788 732792 854924 994498 1099182 1282386 1465576 1491747 1709848 1988996 2198364 2564772 2983494 3480743 3977992 4396728 5129544 5966988 6961486 10442229 11933976 13922972 20884458 27845944 41768916 42056797 83537832 84113594 126170391 168227188 252340782 294397579 336454376 504681564 588795158 799079143 883192737 1009363128 1177590316 1598158286 1766385474 2355180632 2397237429 3196316572 3532770948 4794474858 5593554001 6392633144 7065541896 9588949716 11187108002 16780662003 19177899432 22374216004 33561324006 44748432008 67122648012 134245296024