Search a number
-
+
13142423301240 = 23351021110725707
BaseRepresentation
bin1011111100111111010101…
…1110001110110001111000
31201112101220002001212101110
42333033311132032301320
53210311140331114430
643541313530120320
72524336333603032
oct277176536166170
951471802055343
1013142423301240
114207741370a32
12158310ab800a0
1374442c603c6c
1433614d41ac52
1517bce7ed37b0
hexbf3f578ec78

13142423301240 has 64 divisors (see below), whose sum is σ = 39431134834560. Its totient is φ = 3504302664320.

The previous prime is 13142423301221. The next prime is 13142423301277. The reversal of 13142423301240 is 4210332424131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13142423301198 and 13142423301207.

It is a congruent number.

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, 4137534 + ... + 6588173.

It is an arithmetic number, because the mean of its divisors is an integer number (616111481790).

Almost surely, 213142423301240 is an apocalyptic number.

13142423301240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142423301240 is an abundant number, since it is smaller than the sum of its proper divisors (26288711533320).

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

13142423301240 is a wasteful number, since it uses less digits than its factorization.

13142423301240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10735932 (or 10735928 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13142423301240 its reverse (4210332424131), we get a palindrome (17352755725371).

The spelling of 13142423301240 in words is "thirteen trillion, one hundred forty-two billion, four hundred twenty-three million, three hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 10211 20422 30633 40844 51055 61266 81688 102110 122532 153165 204220 245064 306330 408440 612660 1225320 10725707 21451414 32177121 42902828 53628535 64354242 85805656 107257070 128708484 160885605 214514140 257416968 321771210 429028280 643542420 1287084840 109520194177 219040388354 328560582531 438080776708 547600970885 657121165062 876161553416 1095201941770 1314242330124 1642802912655 2190403883540 2628484660248 3285605825310 4380807767080 6571211650620 13142423301240