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135345400240 = 2457512252753
BaseRepresentation
bin111111000001100110…
…1101110100110110000
3110221100110020201020111
41332003031232212300
54204141410301430
6142102105351104
712530661630421
oct1760315564660
9427313221214
10135345400240
1152443a4a486
1222292a98494
13c9bc468a5b
14679d39b648
1537c2295c2a
hex1f8336e9b0

135345400240 has 40 divisors (see below), whose sum is σ = 315097207488. Its totient is φ = 54066048000.

The previous prime is 135345400219. The next prime is 135345400297. The reversal of 135345400240 is 42004543531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1353454002402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1066297 + ... + 1186456.

Almost surely, 2135345400240 is an apocalyptic number.

135345400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135345400240 is an abundant number, since it is smaller than the sum of its proper divisors (179751807248).

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

135345400240 is a wasteful number, since it uses less digits than its factorization.

135345400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253517 (or 2253511 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 135345400240 its reverse (42004543531), we get a palindrome (177349943771).

The spelling of 135345400240 in words is "one hundred thirty-five billion, three hundred forty-five million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 751 1502 3004 3755 6008 7510 12016 15020 30040 60080 2252753 4505506 9011012 11263765 18022024 22527530 36044048 45055060 90110120 180220240 1691817503 3383635006 6767270012 8459087515 13534540024 16918175030 27069080048 33836350060 67672700120 135345400240