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134144141340 = 223511203248699
BaseRepresentation
bin111110011101110011…
…1010010100000011100
3110211020201212102211010
41330323213102200130
54144211400010330
6141342554255220
712456134250036
oct1747347224034
9424221772733
10134144141340
1151987963930
1221bb8727510
13c85a623581
1466c7a20c56
153751aac3b0
hex1f3b9d281c

134144141340 has 48 divisors (see below), whose sum is σ = 409749379200. Its totient is φ = 32519791680.

The previous prime is 134144141291. The next prime is 134144141357. The reversal of 134144141340 is 43141441431.

134144141340 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 134144141298 and 134144141307.

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, 101623690 + ... + 101625009.

It is an arithmetic number, because the mean of its divisors is an integer number (8536445400).

Almost surely, 2134144141340 is an apocalyptic number.

134144141340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134144141340 is an abundant number, since it is smaller than the sum of its proper divisors (275605237860).

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

134144141340 is a wasteful number, since it uses less digits than its factorization.

134144141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203248722 (or 203248720 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 134144141340 its reverse (43141441431), we get a palindrome (177285582771).

The spelling of 134144141340 in words is "one hundred thirty-four billion, one hundred forty-four million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 203248699 406497398 609746097 812994796 1016243495 1219492194 2032486990 2235735689 2438984388 3048730485 4064973980 4471471378 6097460970 6707207067 8942942756 11178678445 12194921940 13414414134 22357356890 26828828268 33536035335 44714713780 67072070670 134144141340