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134102342144 = 294634791181
BaseRepresentation
bin111110011100100011…
…1110101101000000000
3110211010211012211002202
41330321013311220000
54144120144422034
6141334502332332
712455116046351
oct1747107655000
9424124184082
10134102342144
1151966304541
1221ba672a0a8
13c851a79b14
1466c225dd28
15374d0a247e
hex1f391f5a00

134102342144 has 80 divisors (see below), whose sum is σ = 269309905920. Its totient is φ = 66710138880.

The previous prime is 134102342123. The next prime is 134102342147. The reversal of 134102342144 is 441243201431.

It is not an unprimeable number, because it can be changed into a prime (134102342147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113549234 + ... + 113550414.

It is an arithmetic number, because the mean of its divisors is an integer number (3366373824).

Almost surely, 2134102342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134102342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134654952960).

134102342144 is an abundant number, since it is smaller than the sum of its proper divisors (135207563776).

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

134102342144 is an equidigital number, since it uses as much as digits as its factorization.

134102342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 134102342144 its reverse (441243201431), we get a palindrome (575345543575).

The spelling of 134102342144 in words is "one hundred thirty-four billion, one hundred two million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 463 479 512 926 958 1181 1852 1916 2362 3704 3832 4724 7408 7664 9448 14816 15328 18896 29632 30656 37792 59264 61312 75584 118528 122624 151168 221777 237056 245248 302336 443554 546803 565699 604672 887108 1093606 1131398 1774216 2187212 2262796 3548432 4374424 4525592 7096864 8748848 9051184 14193728 17497696 18102368 28387456 34995392 36204736 56774912 69990784 72409472 113549824 139981568 144818944 261918637 279963136 289637888 523837274 1047674548 2095349096 4190698192 8381396384 16762792768 33525585536 67051171072 134102342144