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134323344240 = 24351317735527
BaseRepresentation
bin111110100011001001…
…0111001001101110000
3110211201020001212222120
41331012102321031300
54200043234003430
6141412435234240
712463441405341
oct1750622711560
9424636055876
10134323344240
1151a6a0316a8
1222048748980
13c8887a86a7
14670374c0c8
1537626a9610
hex1f464b9370

134323344240 has 160 divisors (see below), whose sum is σ = 420199819776. Its totient is φ = 35493719040.

The previous prime is 134323344173. The next prime is 134323344241. The reversal of 134323344240 is 42443323431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134323344241) by changing a digit.

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, 24300357 + ... + 24305883.

Almost surely, 2134323344240 is an apocalyptic number.

134323344240 is a gapful number since it is divisible by the number (10) 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 134323344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210099909888).

134323344240 is an abundant number, since it is smaller than the sum of its proper divisors (285876475536).

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

134323344240 is a wasteful number, since it uses less digits than its factorization.

134323344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 134323344240 its reverse (42443323431), we get a palindrome (176766667671).

The spelling of 134323344240 in words is "one hundred thirty-four billion, three hundred twenty-three million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 773 786 1048 1310 1546 1572 1965 2096 2319 2620 3092 3144 3865 3930 4638 5240 5527 6184 6288 7730 7860 9276 10480 11054 11595 12368 15460 15720 16581 18552 22108 23190 27635 30920 31440 33162 37104 44216 46380 55270 61840 66324 82905 88432 92760 101263 110540 132648 165810 185520 202526 221080 265296 303789 331620 405052 442160 506315 607578 663240 724037 810104 1012630 1215156 1326480 1448074 1518945 1620208 2025260 2172111 2430312 2896148 3037890 3620185 4050520 4272371 4344222 4860624 5792296 6075780 7240370 8101040 8544742 8688444 10860555 11584592 12151560 12817113 14480740 17089484 17376888 21361855 21721110 24303120 25634226 28961480 34178968 34753776 42723710 43442220 51268452 57922960 64085565 68357936 85447420 86884440 102536904 128171130 170894840 173768880 205073808 256342260 341789680 512684520 559680601 1025369040 1119361202 1679041803 2238722404 2798403005 3358083606 4477444808 5596806010 6716167212 8395209015 8954889616 11193612020 13432334424 16790418030 22387224040 26864668848 33580836060 44774448080 67161672120 134323344240