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20141261334 = 2331931761927
BaseRepresentation
bin10010110000100000…
…110100001000010110
31220222200100002101000
4102300200310020112
5312222130330314
613130333044130
71312055616345
oct226040641026
956880302330
1020141261334
1185a6242827
123aa1326646
131b8ca3711c
14d90d77b5c
157cd371209
hex4b0834216

20141261334 has 64 divisors (see below), whose sum is σ = 47263449600. Its totient is φ = 6340231584.

The previous prime is 20141261333. The next prime is 20141261341. The reversal of 20141261334 is 43316214102.

It is a happy number.

20141261334 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 12 + 613 + 34 = 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 = 20141261298 and 20141261307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20141261333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294279 + ... + 356205.

It is an arithmetic number, because the mean of its divisors is an integer number (738491400).

Almost surely, 220141261334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141261334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631724800).

20141261334 is an abundant number, since it is smaller than the sum of its proper divisors (27122188266).

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

20141261334 is a wasteful number, since it uses less digits than its factorization.

20141261334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62274 (or 62268 counting only the distinct ones).

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

Adding to 20141261334 its reverse (43316214102), we get a palindrome (63457475436).

The spelling of 20141261334 in words is "twenty billion, one hundred forty-one million, two hundred sixty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 317 342 513 634 951 1026 1902 2853 5706 6023 8559 12046 17118 18069 36138 54207 61927 108414 123854 162621 185781 325242 371562 557343 1114686 1176613 1672029 2353226 3344058 3529839 7059678 10589517 19630859 21179034 31768551 39261718 58892577 63537102 117785154 176677731 353355462 372986321 530033193 745972642 1060066386 1118958963 2237917926 3356876889 6713753778 10070630667 20141261334