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135317221440 = 2635434932411
BaseRepresentation
bin111111000000110001…
…0001111000001000000
3110221021111020002012020
41332001202033001000
54204112202041230
6142055221401440
712530200255452
oct1760142170100
9427244202166
10135317221440
115242a053315
1222285569280
13c9b66809cb
1467997442d2
1537bea7b810
hex1f8188f040

135317221440 has 112 divisors (see below), whose sum is σ = 429744225600. Its totient is φ = 36075182080.

The previous prime is 135317221423. The next prime is 135317221441. The reversal of 135317221440 is 44122713531.

It is not an unprimeable number, because it can be changed into a prime (135317221441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4158835 + ... + 4191245.

Almost surely, 2135317221440 is an apocalyptic number.

135317221440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135317221440 is an abundant number, since it is smaller than the sum of its proper divisors (294427004160).

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

135317221440 is a wasteful number, since it uses less digits than its factorization.

135317221440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36780 (or 36770 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 135317221440 its reverse (44122713531), we get a palindrome (179439934971).

The spelling of 135317221440 in words is "one hundred thirty-five billion, three hundred seventeen million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4349 8698 13047 17396 21745 26094 32411 34792 43490 52188 64822 65235 69584 86980 97233 104376 129644 130470 139168 162055 173960 194466 208752 259288 260940 278336 324110 347920 388932 417504 486165 518576 521880 648220 695840 777864 835008 972330 1037152 1043760 1296440 1391680 1555728 1944660 2074304 2087520 2592880 3111456 3889320 4175040 5185760 6222912 7778640 10371520 15557280 31114560 140955439 281910878 422866317 563821756 704777195 845732634 1127643512 1409554390 1691465268 2114331585 2255287024 2819108780 3382930536 4228663170 4510574048 5638217560 6765861072 8457326340 9021148096 11276435120 13531722144 16914652680 22552870240 27063444288 33829305360 45105740480 67658610720 135317221440