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135523440040 = 23523732017919
BaseRepresentation
bin111111000110111010…
…0111001010110101000
3110221210212021001221011
41332031310321112220
54210023000040130
6142131505353304
712535253143042
oct1761564712650
9427725231834
10135523440040
11525254a340a
1222322638834
13ca1a304651
1467b8ca4a92
1537d2c1352a
hex1f8dd395a8

135523440040 has 64 divisors (see below), whose sum is σ = 322544332800. Its totient is φ = 51142113792.

The previous prime is 135523440011. The next prime is 135523440077. The reversal of 135523440040 is 40044325531.

It is a junction number, because it is equal to n+sod(n) for n = 135523439984 and 135523440011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941800 + ... + 1076119.

It is an arithmetic number, because the mean of its divisors is an integer number (5039755200).

Almost surely, 2135523440040 is an apocalyptic number.

135523440040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135523440040 is an abundant number, since it is smaller than the sum of its proper divisors (187020892760).

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

135523440040 is a wasteful number, since it uses less digits than its factorization.

135523440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018026 (or 2018022 counting only the distinct ones).

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

Adding to 135523440040 its reverse (40044325531), we get a palindrome (175567765571).

The spelling of 135523440040 in words is "one hundred thirty-five billion, five hundred twenty-three million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 73 92 115 146 184 230 292 365 460 584 730 920 1460 1679 2920 3358 6716 8395 13432 16790 33580 67160 2017919 4035838 8071676 10089595 16143352 20179190 40358380 46412137 80716760 92824274 147308087 185648548 232060685 294616174 371297096 464121370 589232348 736540435 928242740 1178464696 1473080870 1856485480 2946161740 3388086001 5892323480 6776172002 13552344004 16940430005 27104688008 33880860010 67761720020 135523440040