Search a number
-
+
20341140444 = 22332913674751
BaseRepresentation
bin10010111100011011…
…010010101111011100
31221111121102222222000
4102330123102233130
5313124312443234
613202233122300
71320033561312
oct227433225734
957447388860
1020341140444
118699052979
123b38259390
131bc227b3a1
14dad7280b2
157e0ba4899
hex4bc6d2bdc

20341140444 has 96 divisors (see below), whose sum is σ = 54606182400. Its totient is φ = 6540408000.

The previous prime is 20341140419. The next prime is 20341140467. The reversal of 20341140444 is 44404114302.

20341140444 is a `hidden beast` number, since 203 + 4 + 1 + 14 + 0 + 444 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4279069 + ... + 4283819.

It is an arithmetic number, because the mean of its divisors is an integer number (568814400).

Almost surely, 220341140444 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 20341140444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303091200).

20341140444 is an abundant number, since it is smaller than the sum of its proper divisors (34265041956).

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

20341140444 is a wasteful number, since it uses less digits than its factorization.

20341140444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20341140444 its reverse (44404114302), we get a palindrome (64745254746).

The spelling of 20341140444 in words is "twenty billion, three hundred forty-one million, one hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1367 1566 2734 3132 4101 4751 5468 8202 9502 12303 14253 16404 19004 24606 28506 36909 39643 42759 49212 57012 73818 79286 85518 118929 128277 137779 147636 158572 171036 237858 256554 275558 356787 413337 475716 513108 551116 713574 826674 1070361 1240011 1427148 1653348 2140722 2480022 3720033 4281444 4960044 6494617 7440066 12989234 14880132 19483851 25978468 38967702 58451553 77935404 116903106 175354659 188343893 233806212 350709318 376687786 565031679 701418636 753375572 1130063358 1695095037 2260126716 3390190074 5085285111 6780380148 10170570222 20341140444