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134024443120520 = 235311009501121377
BaseRepresentation
bin11110011110010011111111…
…010100101100101110001000
3122120112121111212202011110222
4132132103333110230232020
5120031324024414324040
61153013551300525212
740141642432622621
oct3636237724545610
9576477455664428
10134024443120520
11397824a114a047
1213046a029b0808
1359a25b2408534
142514b63924a48
15107643b3c4bb5
hex79e4ff52cb88

134024443120520 has 128 divisors (see below), whose sum is σ = 311667843916800. Its totient is φ = 51816244838400.

The previous prime is 134024443120511. The next prime is 134024443120523. The reversal of 134024443120520 is 25021344420431.

It is not an unprimeable number, because it can be changed into a prime (134024443120523) 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, 6269552072 + ... + 6269573448.

It is an arithmetic number, because the mean of its divisors is an integer number (2434905030600).

Almost surely, 2134024443120520 is an apocalyptic number.

134024443120520 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 134024443120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155833921958400).

134024443120520 is an abundant number, since it is smaller than the sum of its proper divisors (177643400796280).

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

134024443120520 is a wasteful number, since it uses less digits than its factorization.

134024443120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27439 (or 27435 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 134024443120520 its reverse (25021344420431), we get a palindrome (159045787540951).

The spelling of 134024443120520 in words is "one hundred thirty-four trillion, twenty-four billion, four hundred forty-three million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1009 1240 2018 4036 5011 5045 8072 10022 10090 20044 20180 21377 25055 31279 40088 40360 42754 50110 62558 85508 100220 106885 125116 155341 156395 171016 200440 213770 250232 310682 312790 427540 621364 625580 662687 776705 855080 1242728 1251160 1325374 1553410 2650748 3106820 3313435 5056099 5301496 6213640 6626870 10112198 13253740 20224396 21569393 25280495 26507480 40448792 43138786 50560990 86277572 101121980 107120147 107846965 156739069 172555144 202243960 214240294 215693930 313478138 428480588 431387860 535600735 626956276 668651183 783695345 856961176 862775720 1071201470 1253912552 1337302366 1567390690 2142402940 2674604732 3134781380 3320724557 3343255915 4284805880 5349209464 6269562760 6641449114 6686511830 13282898228 13373023660 16603622785 26565796456 26746047320 33207245570 66414491140 108084228323 132828982280 216168456646 432336913292 540421141615 864673826584 1080842283230 2161684566460 3350611078013 4323369132920 6701222156026 13402444312052 16753055390065 26804888624104 33506110780130 67012221560260 134024443120520