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134332031430 = 23258363128499
BaseRepresentation
bin111110100011011010…
…0000010000111000110
3110211201211102020120100
41331012310002013012
54200103000001210
6141413345344530
712463605266412
oct1750664020706
9424654366510
10134332031430
1151a73a254a3
122204b638146
13c88a52a83c
14670496dd42
1537633235c0
hex1f46d021c6

134332031430 has 96 divisors (see below), whose sum is σ = 354043872000. Its totient is φ = 35332960320.

The previous prime is 134332031429. The next prime is 134332031459. The reversal of 134332031430 is 34130233431.

134332031430 is a `hidden beast` number, since 1 + 343 + 3 + 2 + 0 + 314 + 3 + 0 = 666.

It is a super-2 number, since 2×1343320314302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134332031394 and 134332031403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4699321 + ... + 4727819.

It is an arithmetic number, because the mean of its divisors is an integer number (3687957000).

Almost surely, 2134332031430 is an apocalyptic number.

134332031430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134332031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177021936000).

134332031430 is an abundant number, since it is smaller than the sum of its proper divisors (219711840570).

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

134332031430 is a wasteful number, since it uses less digits than its factorization.

134332031430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29226 (or 29223 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 134332031430 its reverse (34130233431), we get a palindrome (168462264861).

The spelling of 134332031430 in words is "one hundred thirty-four billion, three hundred thirty-two million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 498 631 747 830 1245 1262 1494 1893 2490 3155 3735 3786 5679 6310 7470 9465 11358 18930 28395 28499 52373 56790 56998 85497 104746 142495 157119 170994 256491 261865 284990 314238 427485 471357 512982 523730 785595 854970 942714 1282455 1571190 2356785 2365417 2564910 4713570 4730834 7096251 11827085 14192502 17982869 21288753 23654170 35481255 35965738 42577506 53948607 70962510 89914345 106443765 107897214 161845821 179828690 212887530 269743035 323691642 539486070 809229105 1492578127 1618458210 2985156254 4477734381 7462890635 8955468762 13433203143 14925781270 22388671905 26866406286 44777343810 67166015715 134332031430