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20134411444 = 22749721613
BaseRepresentation
bin10010110000000110…
…101011110010110100
31220222012110002002101
4102300012223302310
5312213402131234
613125530151444
71311643450000
oct226006536264
956865402071
1020134411444
1185a2394364
123a9ab82584
131b8b4a9334
14d900b3700
157cc96b814
hex4b01abcb4

20134411444 has 60 divisors (see below), whose sum is σ = 41530998404. Its totient is φ = 8539679232.

The previous prime is 20134411417. The next prime is 20134411447. The reversal of 20134411444 is 44411443102.

It can be written as a sum of positive squares in 2 ways, for example, as 16607476900 + 3526934544 = 128870^2 + 59388^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20134411447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 920782 + ... + 942394.

Almost surely, 220134411444 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 20134411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765499202).

20134411444 is an abundant number, since it is smaller than the sum of its proper divisors (21396586960).

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

20134411444 is an equidigital number, since it uses as much as digits as its factorization.

20134411444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21742 (or 21719 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 20134411444 its reverse (44411443102), we get a palindrome (64545854546).

The spelling of 20134411444 in words is "twenty billion, one hundred thirty-four million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 343 388 679 686 1358 1372 2401 2716 4753 4802 9506 9604 19012 21613 33271 43226 66542 86452 133084 151291 232897 302582 465794 605164 931588 1059037 2096461 2118074 4192922 4236148 7413259 8385844 14675227 14826518 29350454 29653036 51892813 58700908 102726589 103785626 205453178 207571252 410906356 719086123 1438172246 2876344492 5033602861 10067205722 20134411444