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134342003004 = 223114334076947
BaseRepresentation
bin111110100011101101…
…0000100100100111100
3110211202112011211222220
41331013122010210330
54200113023044004
6141414343205340
712464056120146
oct1750732044474
9424675154886
10134342003004
1151a79616270
1222052a46850
13c88c60c491
146706007c96
153764142dd9
hex1f4768493c

134342003004 has 96 divisors (see below), whose sum is σ = 350067142656. Its totient is φ = 39745567680.

The previous prime is 134342002943. The next prime is 134342003017. The reversal of 134342003004 is 400300243431.

It is a super-2 number, since 2×1343420030042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 19334659 + ... + 19341605.

It is an arithmetic number, because the mean of its divisors is an integer number (3646532736).

Almost surely, 2134342003004 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 134342003004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175033571328).

134342003004 is an abundant number, since it is smaller than the sum of its proper divisors (215725139652).

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

134342003004 is a wasteful number, since it uses less digits than its factorization.

134342003004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 134342003004 its reverse (400300243431), we get a palindrome (534642246435).

The spelling of 134342003004 in words is "one hundred thirty-four billion, three hundred forty-two million, three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 3407 5676 6814 6947 10221 13628 13894 20442 20841 27788 37477 40884 41682 74954 76417 83364 112431 146501 149908 152834 224862 229251 293002 298721 305668 439503 449724 458502 586004 597442 879006 896163 917004 1194884 1611511 1758012 1792326 3223022 3285931 3584652 4834533 6446044 6571862 9669066 9857793 13143724 19338132 19715586 23668429 39431172 47336858 71005287 94673716 142010574 260352719 284021148 520705438 781058157 1017742447 1041410876 1562116314 2035484894 3053227341 3124232628 4070969788 6106454682 11195166917 12212909364 22390333834 33585500751 44780667668 67171001502 134342003004