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20134444304 = 2413477872617
BaseRepresentation
bin10010110000000110…
…110011110100010000
31220222012111202011102
4102300012303310100
5312213404204204
613125531003532
71311643644542
oct226006636420
956865452142
1020134444304
1185a2407017
123a9ab995a8
131b8b4bb290
14d900c1692
157cc97641e
hex4b01b3d10

20134444304 has 80 divisors (see below), whose sum is σ = 42976082688. Its totient is φ = 9080073216.

The previous prime is 20134444303. The next prime is 20134444321. The reversal of 20134444304 is 40344443102.

It is a happy number.

It is a super-3 number, since 3×201344443043 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20134444301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7692404 + ... + 7695020.

Almost surely, 220134444304 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 20134444304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21488041344).

20134444304 is an abundant number, since it is smaller than the sum of its proper divisors (22841638384).

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

20134444304 is a wasteful number, since it uses less digits than its factorization.

20134444304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 20134444304 its reverse (40344443102), we get a palindrome (60478887406).

The spelling of 20134444304 in words is "twenty billion, one hundred thirty-four million, four hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 787 1222 1574 2444 2617 3148 4888 5234 6296 9776 10231 10468 12592 20462 20936 34021 36989 40924 41872 68042 73978 81848 122999 136084 147956 163696 245998 272168 295912 480857 491996 544336 591824 961714 983992 1598987 1923428 1967984 2059579 3197974 3846856 4119158 6395948 7693712 8238316 12791896 16476632 25583792 26774527 32953264 53549054 96800213 107098108 193600426 214196216 387200852 428392432 774401704 1258402769 1548803408 2516805538 5033611076 10067222152 20134444304