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135423404240 = 2452928324251
BaseRepresentation
bin111111000011111011…
…1010010100011010000
3110221112220000201121112
41332013313102203100
54204321342413430
6142113533312452
712532626641345
oct1760767224320
9427486021545
10135423404240
1152483a87aa3
12222b5035728
13ca0267a777
1467a98a47cc
1537c9053195
hex1f87dd28d0

135423404240 has 120 divisors (see below), whose sum is σ = 330033439008. Its totient is φ = 51669184000.

The previous prime is 135423404173. The next prime is 135423404243. The reversal of 135423404240 is 42404324531.

It is a junction number, because it is equal to n+sod(n) for n = 135423404197 and 135423404206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135423404243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5572115 + ... + 5596365.

Almost surely, 2135423404240 is an apocalyptic number.

135423404240 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 135423404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165016719504).

135423404240 is an abundant number, since it is smaller than the sum of its proper divisors (194610034768).

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

135423404240 is a wasteful number, since it uses less digits than its factorization.

135423404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405 (or 24370 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 135423404240 its reverse (42404324531), we get a palindrome (177827728771).

The spelling of 135423404240 in words is "one hundred thirty-five billion, four hundred twenty-three million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 83 116 145 166 232 290 332 415 464 580 664 830 841 1160 1328 1660 1682 2320 2407 3320 3364 4205 4814 6640 6728 8410 9628 12035 13456 16820 19256 24070 24251 33640 38512 48140 48502 67280 69803 96280 97004 121255 139606 192560 194008 242510 279212 349015 388016 485020 558424 698030 703279 970040 1116848 1396060 1406558 1940080 2012833 2792120 2813116 3516395 4025666 5584240 5626232 7032790 8051332 10064165 11252464 14065580 16102664 20128330 20395091 28131160 32205328 40256660 40790182 56262320 58372157 80513320 81580364 101975455 116744314 161026640 163160728 203950910 233488628 291860785 326321456 407901820 466977256 583721570 815803640 933954512 1167443140 1631607280 1692792553 2334886280 3385585106 4669772560 6771170212 8463962765 13542340424 16927925530 27084680848 33855851060 67711702120 135423404240