Search a number
-
+
134220333042 = 23323435347419
BaseRepresentation
bin111110100000000100…
…1111011111111110010
3110211110001020101012000
41331000021323333302
54144340401124132
6141354315314430
712461051002215
oct1750011737762
9424401211160
10134220333042
1151a16973884
122201a14ba16
13c87034c413
1466d3bb577c
15375860c87c
hex1f4027bff2

134220333042 has 128 divisors (see below), whose sum is σ = 324489369600. Its totient is φ = 41010121152.

The previous prime is 134220333029. The next prime is 134220333047. The reversal of 134220333042 is 240333022431.

134220333042 is a `hidden beast` number, since 134 + 220 + 3 + 3 + 304 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 134220332997 and 134220333015.

It is not an unprimeable number, because it can be changed into a prime (134220333047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2806809 + ... + 2854227.

It is an arithmetic number, because the mean of its divisors is an integer number (2535073200).

Almost surely, 2134220333042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134220333042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162244684800).

134220333042 is an abundant number, since it is smaller than the sum of its proper divisors (190269036558).

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

134220333042 is a wasteful number, since it uses less digits than its factorization.

134220333042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47549 (or 47543 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 134220333042 its reverse (240333022431), we get a palindrome (374553355473).

The spelling of 134220333042 in words is "one hundred thirty-four billion, two hundred twenty million, three hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 27 43 46 53 54 69 86 106 129 138 159 207 258 318 387 414 477 621 774 954 989 1161 1219 1242 1431 1978 2279 2322 2438 2862 2967 3657 4558 5934 6837 7314 8901 10971 13674 17802 20511 21942 26703 32913 41022 47419 52417 53406 61533 65826 94838 104834 123066 142257 157251 284514 314502 426771 471753 853542 943506 1090637 1280313 1415259 2039017 2181274 2513207 2560626 2830518 3271911 4078034 5026414 6117051 6543822 7539621 9815733 12234102 15079242 18351153 19631466 22618863 29447199 36702306 45237726 46897391 55053459 57803761 58894398 67856589 93794782 108067901 110106918 115607522 135713178 140692173 173411283 216135802 281384346 324203703 346822566 422076519 520233849 648407406 844153038 972611109 1040467698 1266229557 1560701547 1945222218 2485561723 2532459114 2917833327 3121403094 4971123446 5835666654 7456685169 14913370338 22370055507 44740111014 67110166521 134220333042