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134141414436 = 223219311630589
BaseRepresentation
bin111110011101101110…
…0111000110000100100
3110211020112201220012200
41330323130320300210
54144210200230221
6141342420014500
712456102131631
oct1747334706044
9424215656180
10134141414436
1151986371097
1221bb7831430
13c859baa313
1466c7511188
15375171e426
hex1f3b738c24

134141414436 has 72 divisors (see below), whose sum is σ = 358074225600. Its totient is φ = 42224172480.

The previous prime is 134141414413. The next prime is 134141414437. The reversal of 134141414436 is 634414141431.

134141414436 is a `hidden beast` number, since 1 + 34 + 141 + 41 + 443 + 6 = 666.

134141414436 is digitally balanced in base 3, 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134141414436.

It is not an unprimeable number, because it can be changed into a prime (134141414437) 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, 102571 + ... + 528018.

Almost surely, 2134141414436 is an apocalyptic number.

It is an amenable number.

134141414436 is an abundant number, since it is smaller than the sum of its proper divisors (223932811164).

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

134141414436 is a wasteful number, since it uses less digits than its factorization.

134141414436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630929 (or 630924 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 134141414436 its reverse (634414141431), we get a palindrome (768555555867).

The spelling of 134141414436 in words is "one hundred thirty-four billion, one hundred forty-one million, four hundred fourteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 311 342 622 684 933 1244 1866 2799 3732 5598 5909 11196 11818 17727 23636 35454 53181 70908 106362 212724 630589 1261178 1891767 2522356 3783534 5675301 7567068 11350602 11981191 22701204 23962382 35943573 47924764 71887146 107830719 143774292 196113179 215661438 392226358 431322876 588339537 784452716 1176679074 1765018611 2353358148 3530037222 3726150401 7060074444 7452300802 11178451203 14904601604 22356902406 33535353609 44713804812 67070707218 134141414436