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134311410540 = 223251516178009
BaseRepresentation
bin111110100010110010…
…1010111101101101100
3110211200101121121000200
41331011211113231230
54200032210114130
6141411331353500
712463235103246
oct1750545275554
9424611547020
10134311410540
1151a6332073a
1222044752890
13c88618a928
146701d23096
1537615ed760
hex1f45957b6c

134311410540 has 144 divisors (see below), whose sum is σ = 410825338560. Its totient is φ = 35517081600.

The previous prime is 134311410511. The next prime is 134311410677. The reversal of 134311410540 is 45014113431.

134311410540 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 114 + 1 + 0 + 540 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16766056 + ... + 16774064.

It is an arithmetic number, because the mean of its divisors is an integer number (2852953740).

Almost surely, 2134311410540 is an apocalyptic number.

134311410540 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 134311410540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205412669280).

134311410540 is an abundant number, since it is smaller than the sum of its proper divisors (276513928020).

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

134311410540 is a wasteful number, since it uses less digits than its factorization.

134311410540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 134311410540 its reverse (45014113431), we get a palindrome (179325523971).

The spelling of 134311410540 in words is "one hundred thirty-four billion, three hundred eleven million, four hundred ten thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 617 755 906 1234 1359 1510 1812 1851 2265 2468 2718 3020 3085 3702 4530 5436 5553 6170 6795 7404 8009 9060 9255 11106 12340 13590 16018 18510 22212 24027 27180 27765 32036 37020 40045 48054 55530 72081 80090 93167 96108 111060 120135 144162 160180 186334 240270 279501 288324 360405 372668 465835 480540 559002 720810 838503 931670 1118004 1209359 1397505 1441620 1677006 1863340 2418718 2795010 3354012 3628077 4192515 4837436 4941553 5590020 6046795 7256154 8385030 9883106 10884231 12093590 14512308 14824659 16770060 18140385 19766212 21768462 24187180 24707765 29649318 36280770 43536924 44473977 49415530 54421155 59298636 72561540 74123295 88947954 98831060 108842310 148246590 177895908 217684620 222369885 296493180 444739770 746174503 889479540 1492349006 2238523509 2984698012 3730872515 4477047018 6715570527 7461745030 8954094036 11192617545 13431141054 14923490060 22385235090 26862282108 33577852635 44770470180 67155705270 134311410540