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135055424240 = 24511179539473
BaseRepresentation
bin111110111000111101…
…1100011101011110000
3110220121020121101221122
41331301323203223300
54203043142033430
6142013230241412
712520541110352
oct1756173435360
9426536541848
10135055424240
11523052a21a0
1222211956268
13c97436a719
146772a770d2
1537a6ab6ee5
hex1f71ee3af0

135055424240 has 160 divisors (see below), whose sum is σ = 363118562496. Its totient is φ = 46168801280.

The previous prime is 135055424239. The next prime is 135055424243. The reversal of 135055424240 is 42424550531.

It is a self number, because there is not a number n which added to its sum of digits gives 135055424240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135055424243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14252144 + ... + 14261616.

Almost surely, 2135055424240 is an apocalyptic number.

135055424240 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 135055424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181559281248).

135055424240 is an abundant number, since it is smaller than the sum of its proper divisors (228063138256).

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

135055424240 is a wasteful number, since it uses less digits than its factorization.

135055424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10467 (or 10461 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 135055424240 its reverse (42424550531), we get a palindrome (177479974771).

The spelling of 135055424240 in words is "one hundred thirty-five billion, fifty-five million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 953 1360 1496 1870 1906 2992 3740 3812 4765 7480 7624 9473 9530 10483 14960 15248 16201 18946 19060 20966 32402 37892 38120 41932 47365 52415 64804 75784 76240 81005 83864 94730 104203 104830 129608 151568 161041 162010 167728 178211 189460 208406 209660 259216 322082 324020 356422 378920 416812 419320 521015 644164 648040 712844 757840 805205 833624 838640 891055 1042030 1288328 1296080 1425688 1610410 1667248 1771451 1782110 2084060 2576656 2851376 3220820 3542902 3564220 4168120 6441640 7085804 7128440 8336240 8857255 9027769 12883280 14171608 14256880 17714510 18055538 28343216 35429020 36111076 45138845 70858040 72222152 90277690 99305459 141716080 144444304 153472073 180555380 198610918 306944146 361110760 397221836 496527295 613888292 722221520 767360365 794443672 993054590 1227776584 1534720730 1588887344 1688192803 1986109180 2455553168 3069441460 3376385606 3972218360 6138882920 6752771212 7944436720 8440964015 12277765840 13505542424 16881928030 27011084848 33763856060 67527712120 135055424240