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134413231140 = 223351487167393
BaseRepresentation
bin111110100101110100…
…1110010010000100100
3110211221111012121122000
41331023221302100210
54200234241344030
6141425410005300
712465612420306
oct1751351622044
9424844177560
10134413231140
1152005845aa1
1222072876830
13c8a12bacc6
146711669976
15376a512860
hex1f4ba72424

134413231140 has 96 divisors (see below), whose sum is σ = 418458216960. Its totient is φ = 35819209728.

The previous prime is 134413231133. The next prime is 134413231189. The reversal of 134413231140 is 41132314431.

134413231140 is a `hidden beast` number, since 1 + 3 + 4 + 413 + 231 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 719284 + ... + 886676.

It is an arithmetic number, because the mean of its divisors is an integer number (4358939760).

Almost surely, 2134413231140 is an apocalyptic number.

134413231140 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 134413231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209229108480).

134413231140 is an abundant number, since it is smaller than the sum of its proper divisors (284044985820).

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

134413231140 is a wasteful number, since it uses less digits than its factorization.

134413231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168898 (or 168890 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 134413231140 its reverse (41132314431), we get a palindrome (175545545571).

The spelling of 134413231140 in words is "one hundred thirty-four billion, four hundred thirteen million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1487 2974 4461 5948 7435 8922 13383 14870 17844 22305 26766 29740 40149 44610 53532 66915 80298 89220 133830 160596 167393 200745 267660 334786 401490 502179 669572 802980 836965 1004358 1506537 1673930 2008716 2510895 3013074 3347860 4519611 5021790 6026148 7532685 9039222 10043580 15065370 18078444 22598055 30130740 45196110 90392220 248913391 497826782 746740173 995653564 1244566955 1493480346 2240220519 2489133910 2986960692 3733700865 4480441038 4978267820 6720661557 7467401730 8960882076 11201102595 13441323114 14934803460 22402205190 26882646228 33603307785 44804410380 67206615570 134413231140