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134932188440 = 23573125161933
BaseRepresentation
bin111110110101010010…
…1011100110100011000
3110220021122201101012202
41331222211130310120
54202320120012230
6141553105025332
712514513451330
oct1755245346430
9426248641182
10134932188440
1152251780325
1222198625248
13c95497ca2a
1467605580c0
15379ad72a45
hex1f6a95cd18

134932188440 has 128 divisors (see below), whose sum is σ = 359593758720. Its totient is φ = 44591040000.

The previous prime is 134932188427. The next prime is 134932188449. The reversal of 134932188440 is 44881239431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134932188449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147714 + ... + 2209646.

It is an arithmetic number, because the mean of its divisors is an integer number (2809326240).

Almost surely, 2134932188440 is an apocalyptic number.

134932188440 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 134932188440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179796879360).

134932188440 is an abundant number, since it is smaller than the sum of its proper divisors (224661570280).

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

134932188440 is a wasteful number, since it uses less digits than its factorization.

134932188440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62233 (or 62229 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 134932188440 in words is "one hundred thirty-four billion, nine hundred thirty-two million, one hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 251 280 310 434 502 620 868 1004 1085 1240 1255 1736 1757 2008 2170 2510 3514 4340 5020 7028 7781 8680 8785 10040 14056 15562 17570 31124 35140 38905 54467 61933 62248 70280 77810 108934 123866 155620 217868 247732 272335 309665 311240 433531 435736 495464 544670 619330 867062 1089340 1238660 1734124 1919923 2167655 2178680 2477320 3468248 3839846 4335310 7679692 8670620 9599615 13439461 15359384 15545183 17341240 19199230 26878922 31090366 38398460 53757844 62180732 67197305 76796920 77725915 107515688 108816281 124361464 134394610 155451830 217632562 268789220 310903660 435265124 481900673 537578440 544081405 621807320 870530248 963801346 1088162810 1927602692 2176325620 2409503365 3373304711 3855205384 4352651240 4819006730 6746609422 9638013460 13493218844 16866523555 19276026920 26986437688 33733047110 67466094220 134932188440